{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Shock tubes and dust\n", "\n", "### Andrea Viceré, Urbino University and INFN - Firenze\n", "\n", "### VIR-0516A-16, November 28th, 2016" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "During a venting, an unbalance of pressure is present between the venting tubes and the Virgo tower.\n", "The resulting flow of air may carry dust potentially dangerous for fused silica fibers, if sufficiently fast and energetic.\n", "\n", "It is the purpose of this note to estimate the speed of the flow and the resulting speed of the dust.\n", "\n", "In the following, for the sake of concreteness, we will assume that in the initial phase of the venting the pressure inside the Virgo tower is $p_{low} = 10^{-2}\\mathrm{Pa}$, and that this vacuum enclosure is placed in contact with a chamber having a pressure $p_{high} = 10\\mathrm{Pa}$, by means of a tube.\n", "In the approximation we will make, the size of the tube does not matter provided its diameter is much larger than the mean free path of gas molecules, an assumption we will have to verify.\n", "\n", "In this form, turns out that this is a *classical* problem, the so-called Sod's shock tube.\n", "\n", "Gary Sod proposed this problem as a standard benchmarks to assess the accuracy of numerical solvers; it as a classic example of one-dimensional compressible flow, and allows an analytical solution of Euler equations.\n", "\n", "Since the analytical solution, though direct, is somewhat cumbersome to obtain and a check of the literature is required, we will review its derivation.\n", "\n", "Then, we will use the resulting simulated flow to drag dust particles, and see what happens." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### What's a shock tube?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A shock tube is an idealized device that generates a one-dimensional shock wave in a **compressible** gas.\n", "\n", "We have a tube with two regions containing gas at different pressure, separated by an infinitely-thin, rigid diaphragm. The gas is initially at rest, and the left region is at a higher pressure than the region to the right of the diaphragm. At time $t = 0.0 s$, the diaphragm is ruptured instantaneously; this simulates the opening of a valve.\n", "\n", "What happens? A shock wave is generated: the gas at higher pressure, no longer constrained by the diaphragm, rushes into the lower-pressure area and a one-dimensional unsteady flow is established, consisting of:\n", "\n", "* a shock wave traveling to the right\n", "* an expansion wave traveling to the left\n", "* a moving contact discontinuity\n", "\n", "The shock-tube problem is an example of a *Riemann problem* and it has an analytical solution, as we said. The situation is illustrated in Figure 1." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "![IC_sod](IC_sod.png)\n", "![soludion_sod](solution_sod.png)\n", "#### Figure 1. The shock-tube problem." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The *contact line* is the line separating the fluid on the left side from the one on the right side: note that it does not stay fixed at the location of the diaphragm (don't be misled by the figure)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### The Euler equations\n", "\n", "The Euler equations govern the motion of an inviscid fluid (no viscosity). They consist of the conservation laws of mass and momentum, and often we also need to work with the energy equation. \n", "\n", "Let's consider a 1D flow with velocity $u$ in the $x$-direction. The Euler equations for a fluid with density $\\rho$ and pressure $p$, appropriate for a fluid flowing in a tube with constant section, are:\n", "\n", "\\begin{align}\n", "\\frac{\\partial \\rho}{\\partial t} + \\frac{\\partial}{\\partial x}(\\rho u) &= 0\\qquad\\mathrm{Mass\\ conservation} \\\\\n", "\\frac{\\partial}{\\partial t}(\\rho u) + \\frac{\\partial}{\\partial x} (\\rho u^2 + p)&=0\\qquad\\mathrm{Momentum\\ conservation}\n", "\\end{align}\n", "\n", "plus the Bernoulli equation, which we can write in this form:\n", "\n", "\\begin{equation}\n", "\\frac{\\partial}{\\partial t}(\\rho e_T) + \\frac{\\partial}{\\partial x} (\\rho u e_T +p u)=0\\qquad\\mathrm{Energy\\ conservation}\n", "\\end{equation}\n", "where $e_T=e+u^2/2$ is the total energy per unit mass, equal to the internal energy plus the kinetic energy (per unit mass). We will call it also specific energy later.\n", "\n", "This is the conservative form of Euler equations, which is more accurate for situations with shock waves: in vector form \n", "\n", "\\begin{equation}\n", "\\frac{\\partial}{\\partial t}\n", "\\left[ \\begin{array}{c}\n", "\\rho \\\\\n", "\\rho u \\\\\n", "\\rho e_T \\\\ \n", "\\end{array} \\right]\n", "+ \\frac{\\partial}{\\partial x}\n", "\\left[ \\begin{array}{c}\n", "\\rho u \\\\\n", "\\rho u^2 + p \\\\\n", "(\\rho e_T + p) u\\\\ \\end{array}\n", "\\right]\n", "=0\n", "\\end{equation}\n", "\n", "There's one major problem there: we have 3 equations and 4 unknowns: $\\rho, u, e, p$. However, we can use an equation of state to calculate the pressure—in this case, we'll use the ideal gas law." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Calculating the pressure\n", "\n", "For an ideal gas, the equation of state is\n", "\n", "\\begin{equation}\n", "e = e(\\rho, p) = \\frac{p}{(\\gamma -1) \\rho}\n", "\\end{equation}\n", "\n", "where $\\gamma = \\frac{C_p}{C_V} = 1.4$ is a reasonable value to model air\n", "\n", "\\begin{equation}\n", "p = (\\gamma -1)\\rho e\\ .\n", "\\end{equation}\n", "\n", "Recall from above the specific total energy\n", "\n", "\\begin{equation}\n", "e_T = e + \\frac{1}{2} u^2\\qquad\\Rightarrow e = e_T - \\frac{1}{2}u^2\\ ;\n", "\\end{equation}\n", "\n", "putting it all together, we arrive at an equation for the pressure\n", "\n", "\\begin{equation}\n", "p = (\\gamma -1)\\left(\\rho e_T - \\frac{\\rho u^2}{2}\\right).\n", "\\end{equation}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Location of interfaces\n", "\n", "The evolution of the interfaces in the gas can be found in analytical form. First we need to define the dynamic of the separation surfaces: referring to the following Figure 2.\n", "\n", "![sodRegions](ShockTubeRegions.png)\n", "#### Figure 2. Regions and interfaces at $t>0$\n", "\n", "we define the following locations\n", "\n", "* $x_0$: location of the initial membrane\n", "* $x_1$: head of the *rarefaction* wave which moves left\n", "* $x_2$: other boundary of the *rarefaction* wave\n", "* $x_3$: contact discontinuity that separates the left and right fluids\n", "* $x_4$: head of the *compression* wave which moves right\n", "\n", "for $t>$ one can state immediately that\n", "\n", "* $x_1(t) = x_0 - c_1 t$ where $c_1$ is the speed of sound in the \"left\" undisturbed fluid.\n", "* $x_3(t) = x_0 + u_{post} t$ where $u_{post}$ is the speed of the fluid (moving to the right) before the shock front.\n", "* $x_4(t) = x_0 + u_{shock} t$ where $u_{shock}$ is the speed of the shock front propagating in the \"right\" fluid.\n", "\n", "given our model of the fluids, we simply have that\n", "\n", "\\begin{equation}\n", "c_{sound} = \\sqrt{\\left(\\frac{\\partial p}{\\partial\\rho}\\right)_S}=\\sqrt{\\frac{\\gamma\\,p}{\\rho}}\\ ;\n", "\\end{equation}\n", "\n", "it will be also useful the *ideal gas* equation of state\n", "\n", "\\begin{eqnarray}\n", "p V &=& m R_{specific} T\\,\\quad\\Rightarrow\\quad\\rho = \\frac{p}{R_{specific} T}\\nonumber\\\\\n", "R_{specific} &=& 287.058\\,J\\,kg^{-1}\\,K^{-1} \n", "\\end{eqnarray}\n", " \n", "where we will call `R_air` the value of $R_{specific}$ appropriate for dry air." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Qualitative solution\n", "\n", "The qualitative behaviour of the solution is displayed in Figure 3, which shows the behaviour of the quantities $p, u, \\rho$ at a given time $t$, in the different regions separated by the points $x_{1,2,3,4}(t)$ that we have defined earlier.\n", "\n", "![sodQuantities](ShockTubeQuantities.png)\n", "#### Figure 3. Gas quantities at $t>0$\n", "\n", "so at point $x_4(t)$, which is the separation between regions 4 and 5, all quantities are discontinuous: we have a *shock*.\n", "\n", "Instead, at point $x_3(t)$ *a priori* only the density $\\rho$ is discontinuous. In the drawing, $\\rho_3 < \\rho_4$, but it is not necessarily so (won't be so for the parameters we will use).\n", "\n", "In all regions the quantities are constant within the region, except in the expansion (or fan) zone $2$ in which they vary." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Rankine-Hugoniot conditions\n", "\n", "If a conserved quantity $q$ exhibits a jump at a certain position $x_s(t)$, hence a *shock*, which travels from a \"left\" space to a \"right\" space with speed $u_s(t) = \\frac{d x_s}{d t}$ we can write the conservation equation in integral form as follows\n", "\n", "\\begin{equation}\n", "\\frac{d}{d t} \\int_{x_L}^{x_s(t)} q(x,t) dx + \\int_{x_s(t)}^{x_L} q(x,t) dx= - \\int_{x_L}^{x_R} \\frac{d f}{d x} dx\\ ;\n", "\\end{equation}\n", "\n", "taking the derivative with respect to time, then setting $x_L = x_s - \\epsilon, x_R = x_s + \\epsilon$, and sending $\\epsilon\\rightarrow 0$, one obtains \n", "\n", "\\begin{equation}\n", "u_s \\left(q_L - q_R\\right) = f_L - f_R\n", "\\end{equation}\n", "\n", "where the suffixes $L, R$ represent the limit values immediately to the left and to the right of the discontinuity." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This allows obtaining the Rankine-Hugoniot conditions for discontinuities obeying Euler continuity equations\n", "\n", "\\begin{eqnarray}\n", "u_s (\\rho_L - \\rho_R) &=& \\rho_L u_L - \\rho_R u_R\\nonumber\\\\\n", "u_s (\\rho_L u_L - \\rho_R u_R) &=& (\\rho_L u_L^2 + p_L) - (\\rho_R u_R^2 + p_R)\\nonumber\\\\\n", "u_s \\left(\\rho_L e_{T,L} - \\rho_R e_{T,R}\\right) &=& u_L (\\rho_L e_{T,L} + p_L) - u_R (\\rho_R e_{T,R} + p_R)\n", "\\end{eqnarray}\n", "\n", "These equations will allow us obtaining the values of the different quantities defined in Figure 1." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Shock speed $u_s$\n", "\n", "Considering the shock between regions $4$ and $5$, and using the first RH conditions, plus the condition $u_5 = 0$, we obtain\n", "\n", "\\begin{equation}\n", "u_{shock} (\\rho_4 - \\rho_5 ) = \\rho_4 u_{post}\n", "\\end{equation}\n", "\n", "where $u_3 = u_4 = u_{post}$ is the speed of the fluid immediately to the left of the discontinuity. Hence\n", "\n", "\\begin{equation}\n", "u_{shock} = u_4\\frac{\\rho_4}{\\rho_4 - \\rho_5} = u_4\\left(\\frac{\\rho_4}{\\rho_5}\\right)\\left[\\left(\\frac{\\rho_4}{\\rho_5}\\right)-1\\right]^{-1}\n", "\\end{equation}\n", "\n", "we need now the ratio $\\frac{\\rho_4}{\\rho_5}$, and of course $u_4$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Ratio $\\rho_4 / \\rho_5$\n", "\n", "We can now exploit the other two conditions (here $u_4 = u_{post}$)\n", "\n", "\\begin{eqnarray}\n", "u_4\\frac{\\rho_4}{\\rho_4 - \\rho_5}\\rho_4 u_4 &=& \\rho_4 u_4^2 + p_4 - p_5\\nonumber\\\\\n", "u_4\\frac{\\rho_4}{\\rho_4 - \\rho_5}\\left[\\rho_4 \\left(e_4 + \\frac{1}{2} u_4^2\\right) - \\rho_5 e_5\\right] &=& u_4\\left[\\rho_4 \\left(e_4 + \\frac{1}{2} u_4^2\\right) + p_4\\right]\n", "\\end{eqnarray}\n", "\n", "which simplify into\n", "\n", "\\begin{eqnarray}\n", "\\frac{\\rho_4\\rho_5}{\\rho_4 - \\rho_5} u_4^2 &=& p_4 - p_5\\nonumber\\\\\n", "\\frac{\\rho_4\\rho_5}{\\rho_4 - \\rho_5}\\left(e_4 + \\frac{1}{2} u_4^2 - e_5\\right) &=& p_4\n", "\\end{eqnarray}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Eliminating $u_4^2$ one obtains\n", "\n", "\\begin{equation}\n", "\\frac{\\rho_4\\rho_5}{\\rho_4 - \\rho_5} \\left(e_4 - e_5\\right) =\\frac{1}{2}\\left(p_4 + p_5\\right)\n", "\\end{equation}\n", "\n", "using the equation of state this becomes\n", "\n", "\\begin{equation}\n", "\\frac{p_4\\rho_5 - p_5\\rho_4}{\\rho_4 - \\rho_5} = \\frac{\\gamma-1}{2}\\left(p_4+p_5\\right)\n", "\\end{equation}\n", "\n", "which allows to write\n", "\n", "\\begin{eqnarray}\n", "\\frac{\\rho_4}{\\rho_5} &=& \\left[\\frac{p_4}{p_5} + \\eta^2\\right] \\left[1 + \\eta^2\\frac{p_4}{p_5}\\right]^{-1}\\nonumber\\\\\n", "\\eta^2 &\\equiv& \\frac{\\gamma-1}{\\gamma+1}\n", "\\end{eqnarray}\n", "\n", "These will be useful as references, however a different choice of variables allows an easier solution." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Formulas in terms of $M_s$\n", "\n", "It is convenient to express the three RH conditions in terms of the Mach number of the shock wave, defined as\n", "\n", "\\begin{equation}\n", "M_s = \\frac{u_s}{c_5},\\quad\\mathrm{where}\\quad c_5 = \\sqrt{\\frac{\\gamma p_5}{\\rho_5}}\n", "\\end{equation}\n", "$u_s$: starting from \n", "\n", "\\begin{eqnarray}\n", "u_4 &=& u_s \\left(1-\\frac{\\rho_5}{\\rho_4}\\right)\\nonumber\\\\\n", "\\frac{\\rho_4\\rho_5}{\\rho_4 - \\rho_5} u_4^2 &=& p_4 - p_5\\nonumber\\\\\n", "\\frac{p_4\\rho_5 - p_5\\rho_4}{\\rho_4 - \\rho_5} &=& \\frac{\\gamma-1}{2}\\left(p_4+p_5\\right)\n", "\\end{eqnarray}\n", "\n", "one can re-express as\n", "\n", "\\begin{eqnarray}\n", "u_4 &=& M_s c_5 \\left(1-\\frac{\\rho_5}{\\rho_4}\\right)\\nonumber\\\\\n", "M_s^2 \\left(1 -\\frac{\\rho_5}{\\rho_4}\\right) &=& \\frac{1}{\\gamma} \\left(\\frac{p_4}{p_5} - 1\\right)\\nonumber\\\\\n", "\\frac{p_4}{p_5}\\frac{\\rho_5}{\\rho_4} - 1 &=& \\frac{\\gamma-1}{2}\\left(1-\\frac{\\rho_5}{\\rho_4}\\right)\\left(\\frac{p_4}{p_5} + 1\\right)\n", "\\end{eqnarray}\n", "\n", "solving for $u_4$ and for the ratios of pressures and densities one obtains\n", "\n", "\\begin{eqnarray}\n", "\\frac{p_4}{p_5} &=& \\frac{2\\gamma}{\\gamma+1} M_s^2 - \\frac{\\gamma-1}{\\gamma+1}\\nonumber\\\\\n", "\\frac{\\rho_5}{\\rho_4} &=& \\frac{2}{\\gamma+1}\\frac{1}{M_s^2} + \\frac{\\gamma-1}{\\gamma+1}\\nonumber\\\\\n", "u_4 &=& c_5 \\frac{2}{\\gamma+1}\\left(M_s -\\frac{1}{M_s}\\right)\n", "\\end{eqnarray}\n", "\n", "in terms of the Mach number of the shock, which we have now to determine. To that end, we will proceed backwards through the other transitions." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Contact discontinuity\n", "\n", "The boundary between regions 3 and 4 is actually continuous for $p$ and $u$, hence we can write\n", "\n", "\\begin{equation}\n", "u_3 = u_4\\qquad p_3 = p_4\n", "\\end{equation}\n", "\n", "instead, the density $\\rho$ exhibits a jump; with the condition $u_{post} = u_{3,4}$ on the speed of the contact discontinuity, the RH relations are trivially satisfied." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Relation between regions 3 and 1 \n", "\n", "Since transformations are isoentropic, except through the shock which causes the gas to reheat, the regions 1 and 3 are related by an adiabatic transformation, hence\n", "\n", "\\begin{equation}\n", "\\frac{p_1}{\\rho_1^\\gamma} = \\frac{p_3}{\\rho_3^\\gamma}\\qquad\\Rightarrow\\qquad \\frac{\\rho_3}{\\rho_1} = \\left(\\frac{p_3}{p_1}\\right)^\\frac{1}{\\gamma}\\ .\n", "\\end{equation}\n", "\n", "The other result we need is the conservation of Riemann invariants, which requires developing the solution of hyperbolic equations with the method of characteristics: the interested reader may consult for instance the excellent notes by Susanne Höfner. We have\n", "\n", "\\begin{equation}\n", "u_1 + \\frac{2 c_1}{\\gamma -1} = u_3 + \\frac{2 c_3}{\\gamma -1}\\ ;\n", "\\end{equation}\n", "\n", "as $u_1 = 0$, one obtains\n", "\n", "\\begin{equation}\n", "u_3 = \\frac{2}{\\gamma -1}\\left(c_1 - c_3\\right)\n", "\\end{equation}\n", "\n", "We have now sufficient information and we can establish the analytical solution" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Compatibility equation\n", "\n", "From the relation between $u_4$ and $M_s$ obtained with RH conditions between regions $4$ and $5$, and equality of velocity in regions $3, 4$, we have\n", "\n", "\\begin{equation}\n", "M_s - \\frac{1}{M_s} = \\frac{\\gamma+1}{2}\\frac{u_4}{c_5} = \\frac{\\gamma+1}{2}\\frac{u_3}{c_5}\\ ;\n", "\\end{equation}\n", "\n", "then using the just mentioned condition on $u_3$ we have\n", "\n", "\\begin{equation}\n", "\\frac{\\gamma+1}{2}\\frac{u_3}{c_5} = \\frac{\\gamma + 1}{\\gamma -1}\\frac{c_1 - c_3}{c_5} = \\frac{c_1}{c_5}\\frac{\\gamma + 1}{\\gamma - 1}\\left(1 - \\frac{c_3}{c_1}\\right)\\ .\n", "\\end{equation}\n", "\n", "Then we can use the isoentropic relation to establish that\n", "\n", "\\begin{equation}\n", "\\frac{c_3}{c_1} = \\sqrt{\\frac{p_3}{p_1}\\frac{\\rho_1}{\\rho_3}} = \\sqrt{\\frac{p_3}{p_1}\\left(\\frac{p_1}{p_3}\\right)^{\\frac{1}{\\gamma}}} = \\left(\\frac{p_3}{p_1}\\right)^\\frac{\\gamma - 1}{2\\gamma} = \\left(\\frac{p_3}{p_5}\\frac{p_5}{p_1}\\right)^\\frac{\\gamma - 1}{2\\gamma}\n", "\\end{equation}\n", "\n", "and we use one of the RH conditions at interface $4, 5$\n", "\n", "\\begin{equation}\n", "\\frac{p_3}{p_5} = \\frac{2\\gamma}{\\gamma+1} M_s^2 - \\frac{\\gamma - 1}{\\gamma +1}\n", "\\end{equation}\n", "\n", "to close the circle and come back to $M_s$. So in summary we have a **compatibility equation**\n", "\n", "\\begin{equation}\n", "M_s - \\frac{1}{M_s} = \\frac{c_1}{c_5}\\frac{\\gamma + 1}{\\gamma - 1}\\left\\{1 - \\left[\\frac{p_5}{p_1}\\left(\\frac{2\\gamma}{\\gamma+1} M_s^2 - \\frac{\\gamma - 1}{\\gamma +1}\\right) \\right]^\\frac{\\gamma - 1}{2\\gamma}\\right\\}\n", "\\end{equation}\n", "\n", "which can be solved for $M_s$ numerically." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Fan expansion region 2\n", "\n", "We have left out from our discussion the evolution of the \"other boundary\" of the expansion region 2, which we called $x_2$; again using the technique of characteristics, it is possible to show that\n", "\n", "\\begin{eqnarray}\n", "x_1(t) &=& x_0 - c_1 t\\nonumber\\\\\n", "x_2(t) &=& x_0 + \\left(u_3 - c_3\\right) t\n", "\\end{eqnarray}\n", "\n", "now again, in any point $x$ between $x_1(t)$ and $x_2(t)$, the fluid will have speed $u$, sound speed $c$, density $\\rho$ which depend on time: again using the method of characteristics it is possible to assert that the relation between the position $x$ and the time $t$ is given by \n", "\n", "\\begin{equation}\n", "x = x_0 + \\left(u - c\\right) t\\qquad\\Leftrightarrow\\qquad \\frac{x - x_0}{t} = u - c\\ ;\n", "\\end{equation}\n", "\n", "using the characteristic from region $1$ one obtains also\n", "\n", "\\begin{equation}\n", "u_1 + \\frac{2 c_1}{\\gamma - 1} = u + \\frac{2 c}{\\gamma - 1}\\qquad \\Rightarrow\\qquad c = c_1 - \\frac{\\gamma-1}{2} u\n", "\\end{equation}\n", "\n", "combining one obtains, inside the fan expansion region\n", "\n", "\\begin{eqnarray}\n", "u &=& \\frac{2}{\\gamma + 1}\\left[c_1 + \\frac{x - x_0}{t}\\right]\\nonumber\\\\\n", "c &=& c_1 - \\frac{\\gamma-1}{2} u = \\frac{2}{\\gamma + 1} c_1 - \\left(\\frac{\\gamma-1}{\\gamma+1}\\right)\\frac{x - x_0}{t}\\nonumber\\\\\n", "p &=& p_1 \\left(\\frac{c}{c_1}\\right)^\\frac{2\\gamma}{\\gamma-1}\\nonumber\\\\\n", "\\rho &=& \\gamma \\frac{p}{c^2}\n", "\\end{eqnarray}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Summary formulas\n", "\n", "In summary, we have the following relations which allow us to solve the Shock tube problem\n", "\n", "##### Fundamental definitions\n", "\n", "\\begin{eqnarray}\n", "c &=& \\sqrt{\\frac{\\gamma p}{\\rho}}\\nonumber\\\\\n", "e &=& \\frac{p}{\\left(\\gamma-1\\right)\\rho}\n", "\\end{eqnarray}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Compatibility equation\n", "\n", "\\begin{equation}\n", "M_s - \\frac{1}{M_s} = \\frac{c_1}{c_5}\\frac{\\gamma + 1}{\\gamma - 1}\\left\\{1 - \\left[\\frac{p_5}{p_1}\\left(\\frac{2\\gamma}{\\gamma+1} M_s^2 - \\frac{\\gamma - 1}{\\gamma +1}\\right) \\right]^\\frac{\\gamma - 1}{2\\gamma}\\right\\}\n", "\\end{equation}\n", "\n", "allows to compute $M_s$ from the unperturbed states $1, 5$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### RH conditions\n", "\n", "\\begin{eqnarray}\n", "p_3 = p_4 &=& p_5 \\left[\\frac{2\\gamma}{\\gamma+1} M_s^2 - \\frac{\\gamma-1}{\\gamma+1}\\right]\\nonumber\\\\\n", "\\rho_4 &=& \\rho_5 \\left[\\frac{2}{\\gamma+1}\\frac{1}{M_s^2} + \\frac{\\gamma-1}{\\gamma+1}\\right]^{-1}\\nonumber\\\\\n", "u_3 = u_4 &=& c_5 \\frac{2}{\\gamma+1}\\left(M_s -\\frac{1}{M_s}\\right)\n", "\\end{eqnarray}\n", "\n", "allow computing $p_{3, 4}, \\rho_4, u_{3,4}$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Isoentropy\n", "\n", "\\begin{eqnarray}\n", "\\rho_3 &=& \\rho_1\\left(\\frac{p_3}{p_1}\\right)^\\frac{1}{\\gamma}\\nonumber\\\\\n", "c_3 &=& \\sqrt{\\frac{\\gamma p_3}{\\rho_3}}\n", "\\end{eqnarray}\n", "\n", "allow computing $\\rho_3, c_3$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Lines of separation\n", "\n", "\\begin{eqnarray}\n", "x_1(t) &=& x_0 - c_1 t\\nonumber\\\\\n", "x_2(t) &=& x_0 + \\left(u_3 - c_3\\right) t\\nonumber\\\\\n", "x_3(t) &=& x_0 + u_3 t\\qquad\\mathrm{where}\\qquad u_3=u_4\\nonumber\\\\\n", "x_4(t) &=& x_0 + u_s t = x_0 + M_s c_5 t\n", "\\end{eqnarray}\n", "\n", "describe the position of the separation lines for $t>0$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Expansion region (2)\n", "\n", "At a given time $t$, for $x \\in \\left[x_1(t),\\,x_2(t)\\right]$, within the region 2 one has\n", "\n", "\\begin{eqnarray}\n", "u_2(x,t) &=& \\frac{2}{\\gamma + 1}\\left[c_1 + \\frac{x - x_0}{t}\\right]\\nonumber\\\\\n", "c_2(x,t) &=& c_1 - \\frac{\\gamma-1}{2} u = \\frac{2}{\\gamma + 1} c_1 - \\left(\\frac{\\gamma-1}{\\gamma+1}\\right)\\frac{x - x_0}{t}\\nonumber\\\\\n", "p_2(x,t) &=& p_1 \\left(\\frac{c_2(x,t)}{c_1}\\right)^\\frac{2\\gamma}{\\gamma-1}\\nonumber\\\\\n", "\\rho_2(x,t) &=& \\gamma \\frac{p_2(x,t)}{\\left[c_2(x,t)\\right]^2} = \\rho_1\\left(\\frac{c_2(x,t)}{c_1}\\right)^\\frac{2}{\\gamma-1}\n", "\\end{eqnarray}\n", "\n", "which is the only region in which quantities are not constant." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Code for simulating the state of a shock tube" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will simulate everything with `Python` with the help of a few libraries." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [], "source": [ "import numpy\n", "import math\n", "from scipy.optimize import fsolve\n", "\n", "def c_sound(gamma,p,rho):\n", " '''Computes the sound speed\n", " \n", " Parameters:\n", " -----------\n", " gamma, p, rho\n", " '''\n", " return math.sqrt(gamma*p/rho)\n", "\n", "R_air = 287.058\n", "\n", "def rhoIdealGas(p,R,T):\n", " '''Computes the density\n", " \n", " Parameters:\n", " -----------\n", " p, R, T\n", " '''\n", " return p/(R*T)\n", "\n", "def TIdealGas(p,R,rho):\n", " '''Computes the temperature\n", " \n", " Parameters:\n", " -----------\n", " p, R, rho\n", " '''\n", " return p/(R*rho)\n", "\n", "class ShockTube:\n", " def __init__(s, **kwargs):\n", " \"\"\"Sod's shock tube\n", " \n", " Optional parameters\n", " -------------------\n", " p1 : float\n", " pressure Left of the shock (default 1.)\n", " rho1 : float\n", " density Left of the shock (default 1.)\n", " p5 : float \n", " pressure Right of the shock (default 0.1)\n", " rho5 : float\n", " density Right of the shock (default 0.125)\n", " x0 : float\n", " initial position of diaphragm (default 0.)\n", " gamma : float\n", " Cv/Cp ratio (default 1.4)\n", " \"\"\"\n", " s.u1 = 0.\n", " s.p1 = float(kwargs.get('p1',1.))\n", " s.rho1 = float(kwargs.get('rho1',1.))\n", " s.u5 = 0.\n", " s.p5 = float(kwargs.get('p5', 0.1))\n", " s.rho5 = float(kwargs.get('rho5', 0.125))\n", " s.gamma = float(kwargs.get('gamma', 1.4))\n", " s.x0 = float(kwargs.get('x0',0.))\n", " s.T = float(kwargs.get('T',293.15))\n", " s.Rs = float(kwargs.get('Rs',287.058))\n", " \n", " # compute state quantities in constant zones\n", " s.c1 = math.sqrt(gamma*s.p1/s.rho1)\n", " s.c5 = math.sqrt(gamma*s.p5/s.rho5)\n", " s.Ms_func = (lambda Ms : Ms - 1./Ms - s.c1/s.c5 * \\\n", " (s.gamma + 1.)/(s.gamma - 1.) * \\\n", " (1. - ( s.p5/s.p1 * ((2. * s.gamma)/(s.gamma + 1.)*Ms**2 -\\\n", " (s.gamma - 1.)/(s.gamma + 1.)) )**((s.gamma - 1.)/(2.*s.gamma))))\n", " s.Ms = fsolve(s.Ms_func, s.c5)[0]\n", " s.u4 = s.c5*2./(s.gamma+1.)*(s.Ms - 1./s.Ms)\n", " s.u3 = s.u4\n", " s.p4 = s.p5*((2.*s.gamma)/(s.gamma+1.)*(s.Ms)**2 - (s.gamma-1.)/(s.gamma+1.))\n", " s.p3 = s.p4\n", " s.rho4 = s.rho5/(2./((s.gamma+1.)*(s.Ms**2)) + (s.gamma-1.)/(s.gamma+1.))\n", " s.rho3 = s.rho1*(s.p3/s.p1)**(1./s.gamma)\n", " s.c3 = math.sqrt(gamma*s.p3/s.rho3)\n", " s.c4 = math.sqrt(gamma*s.p4/s.rho4)\n", " s.uShock = s.Ms*s.c5\n", " \n", " # rarefaction zones; calls valid only for t > 0\n", " s.c2 = (lambda x,t: 2./(s.gamma+1.)*s.c1 - \\\n", " (s.gamma-1.)/(s.gamma+1.)*(x-s.x0)/t if t > 0. else s.c1)\n", " s.u2 = (lambda x,t: 2./(s.gamma+1.)*(s.c1 + (x - s.x0)/t) if t > 0. else 0.)\n", " s.rho2 = (lambda x,t: s.rho1*(s.c2(x,t)/s.c1)**(2./(s.gamma-1.)))\n", " s.p2 = (lambda x,t: s.p1*(s.c2(x,t)/s.c1)**((2.*s.gamma)/(s.gamma-1.)))\n", " \n", " # limits of zones: calls valid only for t > 0\n", " s.x1 = (lambda t : s.x0 - s.c1 * t)\n", " s.x2 = (lambda t : s.x0 + (s.u3 - s.c3) * t)\n", " s.x3 = (lambda t : s.x0 + s.u3 * t)\n", " s.x4 = (lambda t : s.x0 + s.uShock * t)\n", "\n", " def __str__(s):\n", " s0 = r'Shock tube with $\\gamma=${}:'.format(s.gamma) + '\\n'\n", " s1 = r'$c_1=${}, $\\rho_1=${}, $u_1=${}, $p_1=${}'.format(s.c1,s.rho1,s.u1,s.p1) + '\\n'\n", " s3 = r'$c_3=${}, $\\rho_3=${}, $u_3=${}, $p_3=${}'.format(s.c3,s.rho3,s.u3,s.p3) + '\\n'\n", " s4 = r'$c_4=${}, $\\rho_4=${}, $u_4=${}, $p_4=${}'.format(s.c4,s.rho4,s.u4,s.p4) + '\\n'\n", " s5 = r'$c_5=${}, $\\rho_5=${}, $u_5=${}, $p_5=${}'.format(s.c5,s.rho5,s.u5,s.p5)\n", " #return r'a\\nb'\n", " return s0 + s1 + s3 + s4 + s5\n", " \n", " def State(s, xVec, t,**kwargs):\n", " \"\"\"Tube state\n", " \n", " Parameters\n", " -------------------\n", " xVec : numpy array\n", " positions at which state should be computed\n", " t : time\n", " time at which the state should be computed\n", " \"\"\"\n", " verbose = bool(kwargs.get('verbose',False))\n", " pVec = numpy.zeros_like( xVec )\n", " rhoVec = numpy.zeros_like( xVec )\n", " uVec = numpy.zeros_like( xVec )\n", " x1 = s.x1(t)\n", " x2 = s.x2(t)\n", " x3 = s.x3(t)\n", " x4 = s.x4(t)\n", " for (i,x) in enumerate(xVec):\n", " if x > x4:\n", " uVec[i] = s.u5\n", " pVec[i] = s.p5\n", " rhoVec[i] = s.rho5\n", " elif x > x3:\n", " uVec[i] = s.u4\n", " pVec[i] = s.p4\n", " rhoVec[i] = s.rho4\n", " elif x > x2:\n", " uVec[i] = s.u3\n", " pVec[i] = s.p3\n", " rhoVec[i] = s.rho3\n", " elif x > x1:\n", " uVec[i] = s.u2(x,t)\n", " pVec[i] = s.p2(x,t)\n", " rhoVec[i] = s.rho2(x,t)\n", " else:\n", " uVec[i] = s.u1\n", " pVec[i] = s.p1\n", " rhoVec[i] = s.rho1\n", " if verbose:\n", " print \"x1 = \", x1, \" x2 = \", x2, \" x3 = \", x3, \" x4 = \", x4\n", " return (uVec, pVec, rhoVec)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Check: Sod's test conditions" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The first test proposed by Sod in his 1978 paper is as follows, rescaled to atmospheric pressure. \n", "\n", "In a tube spanning from $x = -10 \\text{m}$ to $x = 10 \\text{m}$ with the rigid membrane at $x = 0 \\text{m}$, we have the following initial gas states:\n", "\n", "$$\\underline{IC}_L = \\left[ \\begin{array}{c}\n", "\\rho_L \\\\ u_L \\\\ p_L \\\\ \\end{array}\\right] = \n", "\\left[ \\begin{array}{c}\n", "1\\ kg/m^3 \\\\ 0\\ m/s \\\\ 10^5\\ Pa \\\\ \\end{array}\\right]$$\n", "\n", "$$\\underline{IC}_R = \\left[ \\begin{array}{c}\n", "\\rho_R \\\\ u_R \\\\ p_R \\\\ \\end{array}\\right] = \n", "\\left[ \\begin{array}{c}\n", "0.125\\ kg/m^3 \\\\ 0\\ m/s \\\\ 10^4\\ Pa \\\\ \\end{array}\\right]$$\n", "\n", "where $\\underline{IC}_L$ are the initial density, velocity and pressure on the left side of the tube membrane and $\\underline{IC}_R$ are the initial density, velocity and pressure on the right side of the tube membrane. \n", "\n", "The analytical solution to this test for the velocity, pressure and density, should looks like the plots in Figure 2." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "![shock_analytic](shock_tube_.01.png)\n", "\n", "#### Figure 4. Analytical solution for Sod's first test." ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# A function to display the solutions\n", "%matplotlib inline\n", "\n", "import matplotlib.pyplot as plt\n", "\n", "def displayState(xVec, uVec, pVec, rhoVec, gamma, R, title):\n", " \n", " plt.figure(\"Sod\",figsize=(16,10))\n", " plt.subplot(231)\n", " plt.plot(xVec,uVec,lw=2)\n", " plt.xlabel(r\"$x$ [m]\",fontsize=16)\n", " plt.ylabel(r\"$u$ [m/s]\",fontsize=16)\n", " plt.title(\"Velocity\",fontsize=18)\n", "\n", " plt.subplot(232)\n", " plt.plot(xVec,pVec,lw=2)\n", " plt.xlabel(r\"$x$ [m]\",fontsize=16)\n", " plt.ylabel(r\"$p$ [Pa]\",fontsize=16)\n", " plt.title(\"Pressure\",fontsize=18)\n", "\n", " plt.subplot(233)\n", " plt.plot(xVec,rhoVec,lw=2)\n", " plt.xlabel(r\"$x$ [m]\",fontsize=16)\n", " plt.ylabel(r'$\\rho\\,\\mathrm{[kg/m^3]}$',fontsize=16)\n", " plt.title(\"Density\",fontsize=18)\n", "\n", "# Compute also temperature and energy density\n", " plt.subplot(234)\n", " plt.plot(xVec,TIdealGas(pVec,R,rhoVec),lw=2)\n", " plt.xlabel(r\"$x$ [m]\",fontsize=16)\n", " plt.ylabel(r'$T$ [K]',fontsize=16)\n", " plt.title(\"Temperature\",fontsize=18)\n", "\n", " plt.subplot(235)\n", " plt.plot(xVec,pVec/((gamma-1.)),lw=2)\n", " plt.xlabel(r\"$x$ [m]\",fontsize=16)\n", " plt.ylabel(r'$e\\ \\mathrm{[J/m^3]}$',fontsize=16)\n", " plt.title(\"Internal energy density\",fontsize=18)\n", "\n", " plt.subplot(236)\n", " plt.plot(xVec,rhoVec * (uVec**2),lw=2)\n", " plt.xlabel(r\"$x$ [m]\",fontsize=16)\n", " plt.ylabel(r'$e\\ \\mathrm{[J/m^3]}$',fontsize=16)\n", " plt.title(\"Kinetic energy density\",fontsize=18)\n", "\n", " return" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "x1 = -3.74165738677 x2 = -0.222222145279 x3 = 2.93286270125 x4 = 5.54080292854\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAABTIAAANmCAYAAADJn3SPAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Check: with Sod's test parameters\n", "\n", "sodTube = ShockTube(gamma=1.4, p1=1.E+5, rho1=1., p5=1.E+4,rho5=0.125)\n", "\n", "xVec = numpy.linspace(-10,10,500)\n", "uVec,pVec,rhoVec = sodTube.State(xVec,0.01,verbose=True)\n", "\n", "displayState(xVec, uVec, pVec, rhoVec, gamma, R_air, \"Sod Test 1\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It is worth noticing that in Sod's test the two initial gas states are not at the same temperature, if they are air." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Check: Höfner test parameters" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Since the coding is tricky, it is worth performing another check: Höfner provides other test parameters, that we try in the following. We should obtain a result similar to the one in the following Figure\n", "\n", "![hofner](HofnerPlot.png)\n", "#### Figure 5. Another analytical solution, using Höfner's test parameters" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Shock tube with $\\gamma=$1.4:\n", "$c_1=$1.11803398875, $\\rho_1=$8.0, $u_1=$0.0, $p_1=$7.14285714286\n", "$c_3=$0.942761918361, $\\rho_3=$3.41055542543, $u_3=$0.876360351945, $p_3=$2.1652155575\n", "$c_4=$1.19447496583, $\\rho_4=$2.12458969364, $u_4=$0.876360351945, $p_4=$2.1652155575\n", "$c_5=$1.0, $\\rho_5=$1.0, $u_5=$0.0, $p_5=$0.714285714286\n", "x1 = 0.27639320225 x2 = 0.486719686717 x3 = 0.675272070389 x4 = 0.831126308943\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAABUoAAANmCAYAAAAsAbHjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nEIMobLQAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Check: with Höfner's test parameters\n", "gamma = 1.4\n", "p1 = 10./gamma\n", "rho1 = 8.\n", "p5 = 1./gamma\n", "rho5 = 1.\n", "\n", "hoefnerTube = ShockTube(x0=0.5,p1=10./gamma,rho1=8., p5=1./gamma, rho5=1.)\n", "print hoefnerTube\n", "\n", "xVec = numpy.linspace(0.,1.,500)\n", "uVec,pVec,rhoVec = hoefnerTube.State(xVec,0.2,verbose=True)\n", "\n", "displayState(xVec, uVec, pVec, rhoVec, gamma, R_air, \"Sod Test 1\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We are therefore confident that the code we've written is correct." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Virgo 1500W conditions\n", "\n", "In this case we make the following assumptions\n", "\n", "* $p_1 = 10\\, Pa$\n", "* $p_5 = 10^{-2}\\, Pa$\n", "\n", "as for the densities, we assume that the ideal gas law holds, hence\n", "\n", "\\begin{eqnarray}\n", "\\rho = \\frac{p}{R_{specific} T}\\nonumber\\\\\n", "R_{specific} &=& 287.058\\,J\\,Kg^{-1}\\,K^{-1} \n", "\\end{eqnarray}\n", " \n", "where $R_{specific}$ is appropriate for dry air. Further, we assume the two gases are both at room temperature, that is $T = 20 °C$" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Shock tube with $\\gamma=$1.4:\n", "$c_1=$343.236760531, $\\rho_1=$0.000118833926364, $u_1=$0.0, $p_1=$10.0\n", "$c_3=$181.167519286, $\\rho_3=$4.86825325129e-06, $u_3=$810.346206228, $p_3=$0.114131572789\n", "$c_4=$580.508861062, $\\rho_4=$4.74150410755e-07, $u_4=$810.346206228, $p_4=$0.114131572789\n", "$c_5=$343.236760531, $\\rho_5=$1.18833926364e-07, $u_5=$0.0, $p_5=$0.01\n" ] } ], "source": [ "# With Virgo 1500W conditions\n", "def rhoIdealGas(p,R,T):\n", " return p/(R*T)\n", "\n", "T_room = 20 + 273.15\n", "gamma = 1.4\n", "\n", "p1 = 10.\n", "rho1 = rhoIdealGas(p1,R_air,T_room)\n", "p5 = 1.E-2\n", "rho5 = rhoIdealGas(p5,R_air,T_room)\n", "\n", "virgoTube = ShockTube(p1=p1,rho1=rho1,p5=p5,rho5=rho5)\n", "print virgoTube" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Shock velocities are higher than in Sod's example, hence the shock propagates over much shorter time scales." ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "x1 = -0.686473521063 x2 = 1.25835737388 x3 = 1.62069241246 x4 = 2.16272536409\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAABTQAAANmCAYAAADEgQTIAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ncVYAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Let's check with Virgo 1500W\n", "%matplotlib inline\n", "\n", "import matplotlib.pyplot as plt\n", "\n", "xVec = numpy.linspace(-1,3,1000)\n", "uVec,pVec,rhoVec = virgoTube.State(xVec,0.002,verbose=True)\n", "displayState(xVec, uVec, pVec, rhoVec, gamma, R_air, \"Virgo 1500 W\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this case, the speed of the flow reaches **very** high velocities, order $800\\, m s^{-1}$ ! But densities are low, can they drag dust particles?\n", "\n", "The other interesting aspect is that the air at the shock front is heated considerably, up to $800 K$. Again density is low, so this overheated air is probably not an issue. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Particle transport\n", "\n", "We will assume a simple Lagrangian model for the transport of dust [Stover,2014]: neglecting gravity effects since we are in 1D, we will simply write that\n", "\n", "\\begin{equation}\n", "\\frac{d u_p}{d t} = F_D\\left(u - u_p\\right)\n", "\\end{equation}\n", "\n", "where $u_p$ is the speed of the dust particle in the air flux $u$ and $F_D$ is the Stokes drag coefficient, which can be expressed as \n", "\n", "\\begin{equation}\n", "F_D = \\frac{18\\,\\mu}{\\rho_p d^2_p C_c}\n", "\\end{equation}\n", "\n", "in which $\\rho_p, d_p$ are respectively the particle's mass density and diameter. We are assuming spherical dust, which is a *conservative* assumption: dust flakes will likely undergo larger accelerations.\n", "\n", "The parameter $\\mu$ is the **dynamic viscosity** of the fluid; at room temperature the air viscosity is assumed to be\n", "\n", "\\begin{equation}\n", "\\mu = 18.27\\times 10^{-6} Pa\\,s\n", "\\end{equation}\n", "\n", "roughly independent on pressure.\n", "\n", "The parameter $C_c$ is the **slip correction factor** (Cunningham, 1910):\n", "\n", "\\begin{eqnarray}\n", "C_c &=& 1 + \\frac{2\\lambda}{d_p}\\left(A_1 + A_2\\,e^{-\\frac{A_3\\,d_p}{\\lambda}}\\right)\\nonumber\\\\\n", "A_1 &=& 1.257,\\qquad A_2 = 0.4,\\qquad A_3 = 0.55\\qquad (\\mathrm{air})\n", "\\end{eqnarray}\n", "\n", "in the formula, $\\frac{\\lambda}{d_p}$ is the ratio of the mean free path in the gas to the particle size, and corrects for gas rarefaction, driving $F_D$ to zero as $\\lambda$ increases.\n", "\n", "In turn, the mean free path of molecules having diameter $d_m$ can be estimated using kinetic theory and a cross-section for collisions $\\pi d_m^2$ (Pfeiffer Vacuum, mean-free-path)\n", "\n", "\\begin{equation}\n", "\\lambda = \\frac{k_B\\,T}{\\sqrt{2}\\pi\\,p\\,d_m^2}\\ ;\n", "\\end{equation}\n", "\n", "the state equation for ideal gases allows to rewrite $T / p = \\left(\\rho\\,R_{specific}\\right)^{-1}$ in terms of the gas density $\\rho$ and the gas constant per unit mass $R_{specific}$\n", "\n", "\\begin{equation}\n", "\\lambda = \\frac{k_B}{\\sqrt{2}\\pi\\,\\rho\\,R_{specific}\\,d_m^2}\\ ;\n", "\\end{equation}\n", "\n", "we remind that $R_{specific}\\mathrm{(dry\\ air)} = 287.058\\ [J kg^{-1} K^{-1}]$, and we will assume $d_m = 4\\times 10^{-10}$ as an average for air." ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 41, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAjQAAAGZCAYAAACe4auuAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# We check here the mean free path\n", "\n", "mu_air = 18.27E-6\n", "R_specific = 287.058\n", "d_m_air = 4.E-10\n", "\n", "from scipy.constants import Boltzmann as kB\n", "\n", "def f_lambda(rho,d_m):\n", " return kB/(math.sqrt(2.)*math.pi*rho*R_specific*d_m**2)\n", "\n", "def f_C_c(lambda_mfp, d_p):\n", " return 1.0 + (2.*lambda_mfp)/d_p*(1.257 + 0.4*numpy.exp(-(0.55*lambda_mfp)/d_p))\n", "\n", "def f_F_D(lambda_mfp, d_p, rho_p):\n", " return 18.*mu_air/(rho_p*(d_p**2)*f_C_c(lambda_mfp,d_p))\n", "\n", "#f_lambda(1.,4.E-10) should be ~ 6.7e-8 m\n", "\n", "p_vec = numpy.logspace(-2,5)\n", "rho_vec = p_vec / (R_specific * T_room)\n", "\n", "plt.plot(p_vec, f_lambda(rho_vec,d_m_air),lw=2,)\n", "plt.title(r'Mean free path (air, room T)')\n", "plt.yscale('log')\n", "plt.xscale('log')\n", "plt.xlabel(r'$p\\ [\\mathrm{Pa}]$',fontsize=16)\n", "plt.ylabel(r'$\\lambda\\ [\\mathrm{m}]$',rotation=0,fontsize=16)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The mean free path, obviously, varies significantly as a function of pressure and temperature, or equivalently of density. In the following we will have to take this into account, since gas density is not constant.\n", "\n", "Note that the Cunningham correction factor is therefore **very significant** and cannot be neglected, in the regimes we consider. In the following 3D plot we show its dependency on $d_p$ and the pressure $p$." ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAxoAAAGXCAYAAAA08SZ9AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from mpl_toolkits.mplot3d import Axes3D\n", "\n", "# assume rho_p appropriate for Al\n", "rho_Al = 2700\n", "\n", "d_Vec = numpy.logspace(-6,-4)\n", "p_Vec = numpy.logspace(-2,1)\n", "rho_Vec = p_Vec / (R_specific * 293.15)\n", "lambda_Vec = f_lambda(rho_Vec,d_m_air)\n", "\n", "d_Vec3D, p_Vec3D = numpy.meshgrid(d_Vec, p_Vec)\n", "d_Vec3D, lambda_Vec3D = numpy.meshgrid(d_Vec, lambda_Vec)\n", "\n", "F_D_Vec = numpy.log10(f_F_D(lambda_Vec3D, d_Vec3D, rho_Al))\n", "d_Vec3D, p_Vec3D = numpy.meshgrid(numpy.log10(d_Vec), numpy.log10(p_Vec))\n", "\n", "fig = plt.figure(\"Cunningham\", figsize=(10,5))\n", "axes = fig.gca(projection='3d')\n", "axes.plot_surface(d_Vec3D, p_Vec3D, F_D_Vec)\n", "axes.set_xlabel(r'$\\log_{10}(d_p)$ [m]',fontsize=16)\n", "axes.set_ylabel(r'$\\log_{10}(p)$ [Pa]',fontsize=16)\n", "axes.set_zlabel(r'$\\log_{10}(F_D)\\ [\\mathrm{s}^{-1}]$',fontsize=16)\n", "axes.set_title(r'Drag coefficient',fontsize=18)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If not for the $C_c$ factor, the drag factor $F_D$ would behave as $d_p^{-2}$, but for large $\\lambda/d_p$, which is our case, $C_c$ behaves as $d_p^{-1}$ and the drag goes as $d_p^{-1}$ as well. Anyway, smaller particles are dragged better, as expected. Also higher pressures help." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Simulating dust transport\n", "\n", "We will assume that dust is transported by the air flow, without causing a back action on the gas: hence we can use the solutions obtained for the velocity $u$ of the gas, the density $\\rho$ and the pressure $p$ in order to deduce the specific force acting on a particle, according to the equations\n", "\n", "\\begin{eqnarray}\n", "\\frac{d x_p}{d t} &=& u_p(t)\\nonumber\\\\\n", "\\frac{d u_p}{d t} &=& F_D(\\lambda(x_p,t),d_p,\\rho_p)\\left[u(x_p,t) - u_p(t)\\right]\\ .\n", "\\end{eqnarray}\n", "\n", "note that the $F_D$ factor depends on quantities $\\lambda(x_p,t), u(x_p,t)$ that in turn vary both with position and time, that's why we have to evolve also particle's position $x_p(t)$.\n", "\n", "We will integrate in time with a predictor-corrector scheme, which is second-order accurate, with two steps\n", "\n", "* predictor: \n", "\\begin{eqnarray}\n", "x_p^\\ast(t + \\Delta t) &=& x_p(t) + \\Delta t u_p(t)\\nonumber\\\\\n", "u_p^\\ast(t + \\Delta t) &=& u_p(t) + \\Delta t F_D(\\lambda(x_p,t),d_p,\\rho_p)\\left[u(x_p,t) - u_p(t)\\right]\n", "\\end{eqnarray}\n", "\n", "* corrector:\n", "\\begin{eqnarray}\n", "x_p(t + \\Delta t) &=& x_p(t) + \\frac{\\Delta t}{2}\\left[ u_p(t) + u_p^\\ast(t)\\right]\\nonumber\\\\\n", "u_p(t + \\Delta t) &=& u_p(t) + \\frac{\\Delta t}{2}\\left\\{ F_D(\\lambda(x_p,t),d_p,\\rho_p)\\left[u(x_p,t) - u_p(t)\\right] + F_D(\\lambda(x_p^\\ast,t),d_p,\\rho_p)\\left[u(x_p^\\ast,t) - u_p^\\ast(t)\\right]\\right\\}\n", "\\end{eqnarray}\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We need now a time grid and the evolution of the corresponding gas quantities. We have seen that eveything happens relatively quickly, so we want a sufficiently fine time grid." ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "collapsed": false }, "outputs": [], "source": [ "deltaT = 1.E-3\n", "T_sim = 0.2\n", "\n", "# At t~0 some formulas fail. Instead of correcting, we start shortly after\n", "t_Vec = numpy.linspace(10.*deltaT,T_sim,T_sim/deltaT)\n", "x_Vec = numpy.linspace(-40.,40.,1000)\n", "\n", "# build the status at different times\n", "# Rows address time, columns address position\n", "p_Mat = numpy.zeros( (len(t_Vec), len(x_Vec)) )\n", "rho_Mat = numpy.array( p_Mat )\n", "u_Mat = numpy.array( p_Mat )\n", "virgoTube = ShockTube(p1=p1,rho1=rho1,p5=p5,rho5=rho5)\n", "for (i,t) in zip(range(0,len(t_Vec)), t_Vec):\n", " u_Mat[i,:],p_Mat[i,:],rho_Mat[i,:] = virgoTube.State(x_Vec,t)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can visualize the evolution by means of an animation" ] }, { "cell_type": "code", "execution_count": 42, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 42, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAABM8AAAFyCAYAAADie/3CAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\njf8DPhc1I3COGlMAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Load libraries to animate and to convert into a movie\n", "from matplotlib import animation\n", "from IPython.display import HTML\n", "\n", "def animate(i,x,lines, matrices):\n", " for (line,mat) in zip(lines,matrices):\n", " line.set_data(x,mat[i,:])\n", " return lines\n", "\n", "fig, axes = plt.subplots(1,3)\n", "fig.set_size_inches(15,4)\n", "line_u, = axes[0].plot([],[], lw=2)\n", "line_p, = axes[1].plot([],[], lw=2,color='r')\n", "line_rho, = axes[2].plot([],[], lw=2,color='g')\n", "for ax in axes:\n", " ax.set_xlim(x_Vec[0],x_Vec[-1])\n", "axes[0].set_ylim(0.,1000.)\n", "axes[0].set_title('Velocity')\n", "axes[1].set_ylim(1.E-3,10.)\n", "axes[1].set_yscale('log')\n", "axes[1].set_title('Pressure')\n", "axes[2].set_ylim(1.E-7,1.E-4)\n", "axes[2].set_yscale('log')\n", "axes[2].set_title('Density')" ] }, { "cell_type": "code", "execution_count": 43, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "execution_count": 43, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Try animating: we animate only up to 0.05 s\n", "anim = animation.FuncAnimation(fig,animate, frames=len(t_Vec)/4, fargs=(x_Vec,[line_u,line_p,line_rho],[u_Mat,p_Mat,rho_Mat]),interval=100)\n", "\n", "HTML(anim.to_html5_video())" ] }, { "cell_type": "code", "execution_count": 46, "metadata": { "collapsed": false }, "outputs": [], "source": [ "anim.save('animatedVirgoTube.mp4')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We have now air velocities, pressures and densities at specified grid positions: to compute values at arbitrary positions we need interpolating functions, that we will organize in dictionaries" ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from scipy.interpolate import interp1d\n", "dict_u = {}\n", "dict_p = {}\n", "dict_rho = {}\n", "for i in range(0,len(t_Vec)):\n", " dict_u[i] = interp1d(x_Vec, u_Mat[i,:])\n", " dict_p[i] = interp1d(x_Vec, p_Mat[i,:])\n", " dict_rho[i] = interp1d(x_Vec, rho_Mat[i,:])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can now easily generate the solution: we need a function which takes lots of inputs" ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def evolveParticle(deltaT, t_Vec, xp_Vec, up_Vec, d_p, rho_p):\n", " for i in range(0,len(t_Vec)-1):\n", " # Predictor step\n", " xp_ast = xp_Vec[i] + deltaT*up_Vec[i]\n", " F_D_pre = f_F_D(f_lambda(dict_rho[i](xp_Vec[i]),d_m_air), d_p, rho_p)*(dict_u[i](xp_Vec[i]) - up_Vec[i])\n", " up_ast = up_Vec[i] + deltaT*F_D_pre\n", " # Corrector step\n", " xp_Vec[i + 1] = xp_Vec[i] + deltaT/2*(up_ast + up_Vec[i])\n", " F_D_cor = f_F_D(f_lambda(dict_rho[i](xp_ast),d_m_air), d_p, rho_p)*(dict_u[i](xp_ast) - up_ast)\n", " up_Vec[i + 1] = up_Vec[i] + deltaT/2*(F_D_pre + F_D_cor)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Equipped with our integrator for the equations of motion, we can proceed." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Dust particle, spherical, diameter $100 \\mu m$" ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAikAAAGYCAYAAACH7XJTAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nkiTVJUOKJEmqS/8PSzsX1xxgPVAAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "xp_Vec = numpy.zeros( len(t_Vec) )\n", "up_Vec = numpy.zeros( len(t_Vec) )\n", "xp_Vec[0] = 0. # initial position of the particle\n", "\n", "dParticle = 100.E-6\n", "\n", "evolveParticle(deltaT, t_Vec, xp_Vec, up_Vec, dParticle, rho_Al)\n", "plt.plot(xp_Vec, up_Vec)\n", "plt.xlabel(r'$x_p$ [m]',fontsize=16)\n", "plt.ylabel(r'$u_p$ [m/s]',fontsize=16)\n", "plt.title(r'$d_p = ${}$ m,\\ \\rho_p = ${}'.format(dParticle, rho_Al),fontsize=16)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "In this case, speeds of the order of tens of m/s can be reached, and within a few m. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Dust particle, spherical, diameter $50 \\mu m$" ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 38, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAikAAAGYCAYAAACH7XJTAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nUiRJUi0ZUiRJUi0ZUiRJUi39A7I3lAfZDS57AAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "xp_Vec = numpy.zeros( len(t_Vec) )\n", "up_Vec = numpy.zeros( len(t_Vec) )\n", "xp_Vec[0] = 0. # initial position of the particle\n", "\n", "dParticle = 50.E-6\n", "\n", "evolveParticle(deltaT, t_Vec, xp_Vec, up_Vec, dParticle, rho_Al)\n", "plt.plot(xp_Vec, up_Vec)\n", "plt.xlabel(r'$x_p$ [m]',fontsize=16)\n", "plt.ylabel(r'$u_p$ [m/s]',fontsize=16)\n", "plt.title(r'$d_p = ${}$ m,\\ \\rho_p = ${}'.format(dParticle, rho_Al),fontsize=16)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "In this case, speeds can be much higher: after $1 m$ of tube the particle is already travelling at $20 m s^{-1}$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Dust particle, spherical, diameter $10 \\mu m$" ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 39, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAi8AAAGYCAYAAACK8wIUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAAPYQAAD2EBqD+naQAAIABJREFUeJzs3Xd4VGXax/HvDWJXQBGxC7bFhhLsUhTrYkHFEuysrgWV\nxV53fXV3X7GhWHax9yiCCCiCgog0QUFhF5HFVSwgUQSC9JL7/eM5eR1iEpJMOZmZ3+e65go5c86Z\n+5gx88tznmLujoiIiEi2qBd3ASIiIiI1ofAiIiIiWUXhRURERLKKwouIiIhkFYUXERERySoKLyIi\nIpJVFF5EREQkqyi8iIiISFZReBEREZGsovAiIiIiWUXhRURERLKKwovkPTMbbmafm9l8M7s57noS\nmdmeZnaVmT1rZtPMbLWZlZrZrTHXdaaZfWBmC8xsiZl9ZmY3mNkGlez/bFR3ZY+1ZrZhpq8jH5jZ\nBmZ2tJndZ2bjzWyOma00sx/MbJCZ/b6KY3dZz88t8XFkJeeo0Xsl2eMkP+hNIAIXAD2BG4CJMddS\n3hVADyBxBdVYV1M1s96EmlYD7wNLgKOBXsBJZnacu6+s4FAHxgFfVvLc2vRUnPfaA+8R/hvPAyYD\nS4G9gZOAk82sr7tfUcGxS4Dnqjj33sDBwOLovOuo7XslifeY5AmFF8l77l5sZhsRflFOiLuecv4F\n3A9MiR63AefFVYyZdSZ8qPwCtHP3qdH2rYBRwJHA3cCNlZziKXd/IRO1yv8rBfoDD7n7+MQnzOxM\n4BXgj2Y2zt1fSnze3X8GulV2YjN7mxCKitx9ebnnavVeScF7TPKAbhuJBG2Bj919RdyFJHL3Z9z9\nRnd/1d3/Q/ggitOthA+r/y37UAFw9wXAlYABV5nZFjHVJ+W4+yh3P6t8cImee53QsmKEFshqM7Pt\ngeOib5+pYJfavlf0HpP1UniRvBf9EmwFjI67llQzs43N7Dozm2BmC81suZl9YWa9or9ka3Ku7YE2\n0bdF5Z9393HAd8BGQKX9KKTO+TT6ulMNj7sYqA9Md/ePE5+o7XtF7zGpLoUXETic8P/CBzHXkVJm\nth0wCbgP2D3699vAhoT+PZ+Y2Y41OOWB0dcF7v5NJft8Um7fdUoCjjaz+82sr5n93cw6Z3NH3agz\n7CVm1sfMnjGzc+OuqRb2iL7+UMPjLiS0kDxVwXO1fa8k+x6TPKE+L5JXzGxz4C+EX9jzgO+BjYE1\nwG+a1bPc68A+wJPAte6+FMDM6gH3ANcTbhkcU83zNY++flvFPt8RQkrzCp5z4Pxy2wz4wcy6ufvw\n8geY2RHAHwk/r7uBYYROzHsRQti+wHXuPsnMCgm3/wD2A/7s7qOqc2G1YWZbA4OAV9z9GjPbFJhq\nZk3c/eF0vW4qmdm2wEWEn03/GhzXjhCIVwIvV7BLbd8ryb7HJE+o5UXyhpk1Bj4EtnX3zu5+OTAH\n6A5MdvdlsRaYQmZ2PKFF6VPgirLgAuDupcBNhM7AR5nZ3tU8bVkfg6VV7LMk+rplue2fETph7hud\nZ1tCf4lxwHbAoOgDMfEaDPiju18Y7fcc8BDhNkWPaHTMdKDIzG4Hlrv7le5+JWGEyuvVvK4aM7P6\nwBvAFHd/HCB6/wwB7ogCYp0WXcPLQENgGvBEDQ7/Q/R1UNSpt7zavleSeY9JHlHLi+ST/oRfeJcl\nbBsCPE2S/V3M7CbgBGo2jNmA+e5+ZjKvXYlOUS1vRGFlHe7uZjaGECYOBz6vwbmrc43r7FNBS8Qy\nYCQw0swGAqcSgknrhH0OIoywAtgBaAK85e6JP6vFwK7APHd/M2F7MdDYzLZx95+qUW9NXQEcCpxW\nbvtaoDGwJ/BFTU+a4fdRX8Lw45+ALu6+ppo1bgGcEdX47Hp2r/F7JcnjJE8ovEheMLNzgKMItxgS\nh3SWfVgmFV7cvRdhDoq6ogXhQ+2vZvbXKvZzYBsAM7sf2Po3O7hfHP3zl+jr5lWcr+y5X6rYp7y/\nEMJLKzPbwd3nRNs3BAZG/z4SGO7u75U7dn/ga3cv3+9ib2A5UFGrQCrcAIyIRsAk2jn6arU5aabe\nR2b2MGEI9M/Ase7+3xocXghsCnxX0a2+SG3fK+l6j0mOUXiRfHE54YN6ULnt7Qn9XcZmvKL0qke4\n3rHA+j6Ypkdfz+DXD98yThhVAjA7+lp+n0Q7RcfMrmKf8mYk/HtHwq083H0sgJntFm3vnXhQdNvj\ncKBfBec8FhhTUatTsszsUMJ13lXB0wcT+oF8nerXTRUzewC4GlgAHOfu02p4im6sv9VldvS1pu+V\n2h4neUbhRXJe9CF3BOEvxa/KPd0O+Mzdl/z2yKz2XfR1kLs/WJ0D3H19HSDLhtRuZWa7VDIapGyY\n65QKnqtMYmtPRX9NdyR8WH1QbvtBhL/C19luZvsROvimqwWjQ1TPh+Ved29gF8J/8zo1X1AZM7uX\nMJv0QuB4d/90PYeUP74lIaCVUvXMu7V9r6TrPSY5RuFF8sHWhPko1vlFbWYbEz4AH46+Px0YQejP\ncAChL8xe0bEHAZdUNiW5hTWRjqfmfRV+dvcuNbmYanoHuBQ4E6hWeFkfd59jZh8TPjy6Av+b+Hy0\nts1OwApgaA1OXRh9XQzMrOD5DsCiCj5oj6LiUNM1qmFAVFc3d69oErXaakvoYzKr3PaLonrujV73\nJurQ+8jMykaYLSS0uPxmOv9quCT6+r67z65sp9q+V9L4HpNc4+566JHzD8Jf9E+V29aN8Bdkp+j7\nFwm3kdoQ+mF8BGwSPXcfcGsduI5nCZ1Cq6yF8IE2Mdr3WaBJBftsTxgBVK8Gr39q9N+sBDgwYfvW\nhBEra4Fe5Y5pBZwM1K+gxj8QOu+uBe6s5DXnAgMr2D4cmFXB9i8I09VD6JB8R8JzRwPnJfHf3wgf\n/rPKbd+eMAqmT/R9h7r0PiIMMy8l9HEpqOU5NiBML7AWODsd75VkjtMjvx5qeZF88RQhmABgZsfw\n64iJn6N+Fd8AK939EzO7C3jCf+3cuzFh7pCMMrMDgX/w61/iuxE+QC83s5MTdu3s7sVl37i7R2vE\nvEWY9r2LmU0l3E5qTOhD8rvoXP8AVlWnHncfZGYPEULPR2Y2kjCstSNhyO1Y4M/lDtuV0PF2kZnN\nJMytswkhWOwcXdsrVNCHxMx+BzQjrGmTuH0DQn+X38zCShiV9GE01Pom4JromIbAu+GfttLD1Pg1\ntX90ndPMrKu7vxINwS8iDM3uEe23oq68j6L3yW2E/85fEqbWr2jX+e5+QxWnOhloSghvA6vYD6j1\ne6XWx0meiTs96aFHJh6ED8vngMGEIaLXRtv/QvhAewloHG2rR/irr0XC8R8D98RQd3vCX5pVPdYA\nO1dyfAPC7aMRwI+EzqQ/EFYAfhjoWMu6uhACxUJCi8NUwi2JDSrYd1fgAcKIrm8JH0TLCJ1aXyX0\nvajsdY4gBK6dym1vEl1HuwqOKSQMw34NOCphe72ohm+AR2p53ddE/81bESbPe4IQjDtVsG+deB8R\nZsJd33toLfDf9ZxncLRfn3S9V1JxnB758TB3DZUXSWRmbQjzo+wcfb898BWhuX16lQdLnRe1wPzZ\n3a+rxbH9CIHvN0PKK9hX7yORNKnzs0BWxMzamtlgM5tjZqVmdkoF+7Q0s0FmtsjMlpjZxMR1XMxs\nIzN7zMzmm9kvZtbfzJpm9kqkjupA+GuvzF+AB/SBkzPaEGb8rY22lBtlVIUO6H0kkhbZ2udlM8Iv\nn2eIRhQkivovjCGs6XIHobPmPoQe6mUeAk4k9HtYDDwWnastku/aA6PN7GpCJ8Ev3L33eo6R7FFI\nGC5cI2a2B2FZgw+qeYjeRyJpkvW3jcyslNBZcXDCtiJglYc1USo6ZkvClNjnuPvAaNtehMmyDnX3\nSemvXOqiqJPnAqCN12zWUckC0arP9d39hVocew5hRNp+7l7l1P96H4mkV1beNqpK9EujEzDLzIaZ\nWbGZfWRmpybsVkBodRpZtsHdZxI6Ex6W0YKlrjkQWKYPnJw1vTbBJTKIMHS3OmsW6X0kkkY5F14I\nQ/k2JwyRHEqYJnwg8IaZld0SakZomVlc7tji6DnJQ2Z2BOH24QZmdkfc9UjquXtt+7rg7svd/d/r\n20/vI5H0y9Y+L1UpC2Rvunuf6N/TzOxwwvo2Y6o41qhiZksz25ow++Vs1u0/I7lhOdC97Bsza13F\nviKV0ftIpGIbE6ZOGO7uSS2amovhZT5h3osZ5bbPIMwZAWGWyA3NbMtyrS9NCa0vlTkeeDlVhYqI\niOShcwkTU9ZazoUXd18drY2xV7mn9iRMTgVhgq41hBkbyzrs7kmY7XNCFaefDfDSSy/RsmXLFFZd\n9/Ts2ZPevXN/YISuM7fky3VC/lyrrjN3zJgxg/POOw9SsCJ4VoYXM9sM2J1wmweghZm1Aha4+3eE\n9UNeNbMxhBkaTwROIpoe3t0Xm9nTwINmtpAwlLoPMG49I41WALRs2ZLWrXO7Jbhhw4Y5f42g68w1\n+XKdkD/XquvMSUl3u8jK8EKYZGoUoX+KE6YeB3ge6Obub5rZ5cCthCnQZwKnu3tiq0pPwlTX/YGN\ngGEk3KcWERGRuikrw4u7j2Y9I6Xc/TnCWjaVPb8SuDp6iIiISJbIxaHSIiIiksMUXqRChYWFcZeQ\nEbrO3JIv1wn5c626TqlI1i8PkEnRfA2TJ0+enE8dq0RERJI2ZcoUCgoKIKysPiWZc6nlRURERLKK\nwouIiIhkFYUXERERySoKLyIiIpJVFF5EREQkqyi8iIiISFZReBEREZGsovAiIiIiWUXhRURERLKK\nwouIiIhkFYUXERERySoKLyIiIpJVFF5EREQkqyi8iIiISFZReBEREZGsovAiIiIiWUXhRURERLKK\nwouIiIhklQ3iLkBERERyx48/wgcfwKhRsGwZPP986l9D4UVERERqbdEiGD0aRo6E99+H6dPD9r32\nghNOAHcwS+1rKryIiIhItS1bBuPGhaAyciRMngylpdC8ORx9NNx6K3ToANtvn74aFF5ERESkUqtX\nw8cf/9qyMn48rFoF224bwspll4WvzZtnriaFFxEREfl/paUwbdqvLSsffghLlkDDhqFF5b77oGNH\n2Hvv1N8Oqi6FFxERkTzmDl9++WvLyqhRMH8+bLwxHHkk3HZbaFlp3Ro2qCOpoY6UISIiIpkyZ86v\nLSvvvw/ffQf168PBB8Pll4eWlUMPDQGmLsra8GJmbYEbgAJgO6Czuw+uZN++wKXAn9y9T8L2xsCj\nwElAKTAA6OHuS9NcvoiISMYsWBBaVMoCy8yZYXurVtClSwgr7drBFlvEW2d1ZW14ATYDPgOeIYSO\nCplZZ+BgYE4FT78CbAt0BDYEngP6AueluFYREZGMWbUqdKx9773w+OSTcHto991DULnrLjjqKNhm\nm7grrZ2sDS/uPgwYBmBWcZchM9sB6AMcDwwt99zvou0F7v5ptO1q4G0zu97d56WxfBERkZRxh88/\n/zWsjB4NS5dCkyZwzDG/3graZZe4K02NrA0v6xMFmheAe919RgX55jBgYVlwiYwAHDgEGJSRQkVE\nRGqhuBhGjPg1sMydCxttFDrZ3nEHHHssHHAA1MvBhYByNrwANwOr3P3RSp5vBvyYuMHd15rZgug5\nERGROmP5chgz5tewMnVq2L7//lBYGMJK27aw6abx1pkJORlezKwAuAY4sDaHE1pfKtWzZ08aNmy4\nzrbCwkIKCwtr8XIiIiK/VVoaAkpZWBkzBlauhO22C0Hl+uvDLaFmdfDP7aKiIoqKitbZVlJSkrLz\nm3uVn9NZwcxKSRhtZGY9gAdYN4TUJ4wo+tbdW5jZxcD97r51wnnqAyuALu7+m9tGZtYamDx58mRa\nt26dvgsSEZG89P33v4aVESPgp59CS0r79iGwHHdcvJPDJWPKlCkUFBRA6Gs6JZlz5WTLC6Gvy3vl\ntr0bbX82+n4C0MjMDkzo99KR0PIyMSNViohIXlu2LHSuHTYsBJYZM0IwKSiASy4JgeXww0NfFvlV\n1oYXM9sM2J0QNgBamFkrYIG7fwcsLLf/amCeu88CcPcvzGw48KSZXUEYKv0IUKSRRiIikg7u8MUX\nIawMGxaCy8qVsPPOoVXlzjvDqKCtt17vqfJa1oYXoA0winBryAm3iQCeB7pVsH9F98e6EiapG0G4\npdQf6JHySkVEJG8tXhwmhisLLN9+G1pSOnSAe+6BE06AvfbKzltBccna8OLuo4FqDwBz9xYVbFuE\nJqQTEZEUKutoWxZWxo+HNWtCQDnttBBW2rXLj1FB6ZK14UVERKSumD8/9FkZNgyGDw9zsGy+ebgF\n9MgjcPzx0Lx53FXmDoUXERGRGlq7Fj7+GN55JwSWjz8O/VlatYKLLgqtK4cfDhtuGHeluUnhRURE\npBp++CG0qgwbBu++CwsXQuPGoaPtFVeEr9tvH3eV+UHhRUREpAJr1sDEifD22zB0aOjHYgYHHwzX\nXBNaVw46COrXj7vS/KPwIiIiEvn559Cy8vbb4evChWFxwxNPhJtvDjPaNmkSd5Wi8CIiInnLPbSo\nvP12eEycGEYLtW4NV10FnTpBmzZqXalrFF5ERCSvLFkSpt4vux00dy5ssUWYzfbJJ0Mry3bbxV2l\nVEXhRUREct6sWb+2rnz4IaxaFeZdOecc+P3vw2rMGhmUPRReREQk56xcGUJKWevKrFkhnHToAPfd\nF24H7bZb3FVKbSm8iIhITpg/PwSVIUNCZ9slS2DHHUPLyv33hwnjNtss7iolFRReREQkK5Utcjhk\nSHiMHx862x58MNx0E5x8Muy/v9YMykUKLyIikjVWr4axY38NLF9+CZtsEjrbPvFEuB3UrFncVUq6\nKbyIiEidtmhRmIZ/yJDwddGiMJPtSSfBQw/B0UeHACP5Q+FFRETqnP/+FwYPDoFlzJgw2+2BB4aZ\nbU85Jfy7Xr24q5S4KLyIiEjsSkvDBHGDBoXQMmNGGB3UsSP06RNaWXbaKe4qpa5QeBERkVisXAnv\nvw9vvhlCS3ExbLNN6Lfyt7+Ffiybbx53lVIXKbyIiEjGlJSE4cxvvhm+LlkS5ls5/3zo3BkOPVRT\n8cv6KbyIiEhazZ0bbgUNHAijRoURQwUFYThz586wzz4aziw1o/AiIiIp98UXoXXlzTdDX5b69aF9\ne3jwwdDhdued465QspnCi4iIJK20FD7+OISVgQNh5kzYdFM44QR44YXQj2WrreKuUnKFwouIiNTK\n6tUwejQMGBA63P7wAzRpElpW7rsPjjlG869Ieii8iIhIta1cCSNG/BpYFiyAXXYJqzN37gxHHKEO\nt5J+Ci8iIlKlZcvCQocDBsBbb8HixbDnnnDZZXDGGdC6tTrcSmYpvIiIyG8sXgxvvx0CyzvvhACz\n335w7bUhsGiEkMRJ4UVERABYuDAMaR4wAN59N9wiatMG7rgDTj89tLaI1AUKLyIieezHH8MIoQED\nwmy3a9bA4YfD3/8eAsuuu8ZdochvKbyIiOSZ4uIQVl5/HT78MGxr3z6s0HzaaWHFZpG6TOFFRCQP\n/PQTvPEG9OsHH3wQ+qt07Ah9+8Kpp4Y1hUSyRdYuKG5mbc1ssJnNMbNSMzsl4bkNzKyXmU0zsyXR\nPs+b2XblztHYzF42sxIzW2hmT5nZZpm/GhGR1Pv5Z3jqKTjuONhuO7jySqhXLwSWefNg+HC45BIF\nF8k+2dzyshnwGfAMMKDcc5sCBwD/A0wDGgN9gEHAwQn7vQJsC3QENgSeA/oC56WxbhGRtFm4MPRh\nee01GDkyzHzbvj089ljow6KgIrkga8OLuw8DhgGYrTtgz90XA8cnbjOzq4CJZraju39vZi2jfQrc\n/dNon6uBt83senefl4nrEBFJVklJmDDutdfgvfdCp9t27eDhh0NgadYs7gpFUitrw0stNAIcWBR9\nfyiwsCy4REZE+xxCaKUREamTFi8Ow5r79Qu3f1atgiOPhAceCPOwqNOt5LK8CC9mthFwD/CKuy+J\nNjcDfkzcz93XmtmC6DkRkTpl+fIww21REQwdGuZhOewwuPfeEFh23DHuCkUyI+fDi5ltALxOaFG5\nsjqHRPtWqmfPnjRs2HCdbYWFhRQWFta2TBGRCq1ZE9YSKioKqzX/8kuYOO5vf4Mzz4Sdd467QpHf\nKioqoqioaJ1tJSUlKTu/uVf5OZ0VzKwU6Ozug8ttLwsuuwJHu/vChOcuBu53960TttUHVgBd3P03\nt43MrDUwefLkybRu3Tot1yIiUloKEyaEwNKvXxjmvNde0LUrFBbCHnvEXaFIzU2ZMoWCggIIfU2n\nJHOunG15SQguLYCjEoNLZALQyMwOTOj30pHQ8jIxc5WKiIA7/Otf8Mor8Oqr8M034TbQhReG0HLA\nAVpLSKRM1oaXaD6W3QlhA6CFmbUCFgBzCcOnDwBOAhqY2bbRfgvcfbW7f2Fmw4EnzewKwlDpR4Ai\njTQSkUz5+uvQwvLKKzB9Omy1Vbgd1LVr6IBbL2tn4xJJn6wNL0AbYBShf4oDD0TbnyfM73JytP2z\naHtZX5ajgGhCbLoCjxJGGZUC/YEeGahdRPJYcXG4HfTKK/DRR7DZZmGW21694NhjYcMN465QpG7L\n2vDi7qOpeobg9f694u6L0IR0IpIBS5aEDrcvvhgmj6tfH044IbS6nHxyCDAiUj1ZG15EROq6tWvD\nSs0vvBCCy9KlYbbbf/4zDG3eaqu4KxTJTgovIiIpNm1aaGF55RWYOzeMFLrlFjj3XNh117irE8l+\nCi8iIinwww8hrLz4IkydCk2ahGHN558f5mXRSCGR1FF4ERGppaVLwyKIL74Y1hRq0ABOOQXuvjv0\nZ2nQIO4KRXKTwouISA2sXQujRoXA8sYboSNu27ahH8uZZ0KjRnFXKJL7FF5ERKph5kx49ll46SWY\nMyfMcnvjjXDeedC8edzVieQXhRcRkUosXgyvvRZCy4QJ0Lhx6MdywQVw8MHqxyISF4UXEZEEpaUw\nejQ88wwMGBBWbj7uuBBiTjkFNt447gpFROFFRASYPRuefx6eey78e4894I47QivLDjvEXJyIrEPh\nRUTy1rJlodPts8+GyeQ23xzOOgu6dYPDD9dtIZG6SuFFRPKKO0ycGALLq6+Gfi3t24cWly5dNE2/\nSDZQeBGRvFBcHKbpf/ZZmDEDdtoJevSACy+E3XaLuzoRqQmFFxHJWaWlMGIEPPEEDBoUFkM8/XR4\n+GE4+ujwvYhkH4UXEck5c+aEFpannw6db/fdFx54IMzJosUQRbKfwouI5IQ1a2DYMHjySXjrrTCk\n+eyz4Y9/hEMOUedbkVyi8CIiWe2bb8KcLE8/HVpcDjwQHnssTCbXsGHc1YlIOii8iEjWWb0ahgwJ\nrSzDh4cRQueeC5deCgUFcVcnIumm8CIiWeO//4Wnngr9WYqLw+2gJ58Mt4c23zzu6kQkUxReRKRO\nW7sW3n4bHn88tLI0bAjnnx9aWfbfP+7qRCQOCi8iUicVF4d+LH37wrffwkEHhRaXs86CTTeNuzoR\niZPCi4jUGe4wdiz84x/Qv3+Yh6VrV7jiCmjTJu7qRKSuUHgRkdj98gu89FK4NfTvf4dFEXv1CrPf\nal4WESlP4UVEYvPvf4dWlhdeCIsknnoq9O4dZr+tVy/u6kSkrlJ4EZGMWrUqrOT8+OMwZgw0awY9\ne4YOuDvtFHd1IpINFF5EJCN++AH++c/QAbe4GDp0gH79oHNnaNAg7upEJJsovIhIWk2aBH36hKCy\n4YahH0v37rD33nFXJiLZSuFFRFJu9WoYMCCs3vzRR9C8eeiA262bpuwXkeRlbZc4M2trZoPNbI6Z\nlZrZKRXsc5eZzTWzZWb2npntXu75xmb2spmVmNlCM3vKzDbL3FWI5JaffoK//Q123TWsLbTppvDm\nmzBrVujXouAiIqmQteEF2Az4DOgOePknzewm4CrgMuBgYCkw3Mw2TNjtFaAl0BHoBLQD+qa3bJHc\nM3Uq/OEPocPtX/8Kv/89TJsGI0eGEUT168ddoYjkkqy9beTuw4BhAGYVLnbfA7jb3YdE+1wAFAOd\ngX5m1hI4Hihw90+jfa4G3jaz6919XgYuQyRrrV0LgweHW0OjR8OOO8Kdd4ZRQ1tvHXd1IpLLsrnl\npVJm1hxoBows2+bui4GJwGHRpkOBhWXBJTKC0IpzSIZKFck6ixbB/ffDbrvB6aeH/i2vvQZffQU3\n36zgIiLpV6OWFzN7P0Wv6+7eMUXnqkgzQggpLre9OHqubJ8fyxW11swWJOwjIpHZs0Mry1NPwcqV\ncM45cM01mrZfRDKvpreNOqTodX/TRyVDrBqvXZ19RPLGJ5+Elpb+/WHLLUNgueoq2G67uCsTkXxV\nmz4vw4BeSbzmzcBxSRxfHfMIIWRb1m19aQp8mrBP08SDzKw+0Jjfttiso2fPnjQsN2yisLCQwsLC\n5KoWqSNKS+Htt0No+fBDaNECHnoILr4YNtN4PBFZj6KiIoqKitbZVlJSkrLz1ya8zHP30bV9QTO7\nqLbHVpe7f21m8wijiKZFr7sloS/LY9FuE4BGZnZgQr+XjoTQM7Gq8/fu3ZvWrVunpXaROC1fHtYZ\n6t0bZs6Eww4LLS6dO2vEkIhUX0V/0E+ZMoWCgoKUnL+m4eU/wA9Jvua86DxJieZj2Z0QNgBamFkr\nYIG7fwc8BNxuZl8Cs4G7ge+BQQDu/oWZDQeeNLMrgA2BR4AijTSSfPPTT/DYY+Hx88+hI+6zz4bw\nIiJS19QovLj775J9QXe/Bbgl2fMAbYBRhP4pDjwQbX8e6Obu95rZpoR5WxoBY4AT3X1Vwjm6Ao8S\nRhmVAv0JQ6xF8sLs2eHW0DPPgFmYAfdPfwojiURE6qpsnudlNOsZ6u3udwJ3VvH8IuC8lBYmkgX+\n9a8wXf+rr0KjRnDLLXDllRrmLCLZIWvDi4jU3NixcM89oTPuzjuHvi3duqkTrohkl7SFFzNrDxwA\nfAMMdvfSdL2WiFSutBSGDg2hZdw42Gef0Cn3nHOgQYO4qxMRqbmkZtg1s4vMbIqZHVlu+6PA+8CD\nwABgWDR8xgJJAAAgAElEQVQMWUQyZPVqePFF2H9/OPlkcIchQ8KaQ+efr+AiItkr2eUBugC7AR+X\nbTCzNsCVwArCyJ45hCHI5yT5WiJSDStXwj/+AXvsARdcEFZ4HjMmtLqcdBLUy8lFQUQknyT7a2xf\n4F/uvjJh2zmE0T/nu/vphBWdVwDdknwtEanCsmVh+v4WLaB79zDMeepUeOstOPLI9R8vIpItkg0v\nWxPmTknUDlgMvAkQzZkyhjAni4ik2JIlcN990Lw5XHcdHHMMzJgBRUXhlpGISK5JtsNug8RzmNlG\nQCtgRLkOuj8B7ZN8LRFJUFICjzwSRgz98gtcdFFY1blFi7grExFJr2TDy1xgn4Tv2xMCzfhy+20J\npG5RA5E8tmBBWGeoTx9YsQIuuQRuvDEMfRYRyQfJhpcPgAvN7GZgKPA/hP4uw8rtty+/vb0kIjUw\nfz488AA8+mgY/nz55XD99VrdWUTyT7Lh5e/AGcDfoocB77n75LIdzGxPoDnwTpKvJZKXFiwIoaVP\nnzDc+eqr4dprYZtt4q5MRCQeSYUXd//SzA4HrgOaApOA+8rt1hGYCrydzGuJ5JtFi0J/locegjVr\nQmi5/npo0iTuykRE4lWj8GJmXYCh7r6sbJu7T6eKYdDu/g/gH7WuUCTPLF4chjw/+GDo09K9e+jT\n0rRp3JWJiNQNNW156QcsN7NhwBvAW+6ujrgiKbBkSRg9dP/9sHRp6NNy003q0yIiUl5Nw8tfgdOi\nR2dgtZmNJCwBMNjd56e4PpGct3QpPP443HtvaHW59NKwyvMOO8RdmYhI3VSjSerc/c/uvh/wO+AO\n4N/AicCTwA9mNtLMrjSz7VNfqkhuWbUqhJbdd4fbboMuXeDLL8NoIgUXEZHK1WqGXXf/j7v/3d3b\nALsCNxA663YAHgW+NbNxZnatmTVPVbEiuaC0FF5+GVq2hKuuguOOg5kzw3pEO+0Ud3UiInVf0ku0\nufu37v6gux8B7ABcBYwmrGl0P/ClmX1iZrea2e+SfT2RbOUe1hk68EA47zzYb7+wwvPzz4ep/UVE\npHpSur6su89z98fdvSOwLXAJYcK6fQn9Zaab2fWpfE2RbDBmDLRtCyefDI0bw/jx8OabsO++cVcm\nIpJ9UhpeErn7And/xt07AdsA5wMDCTPwiuSFzz6D3/8e2rULqz4PGwajRoUVn0VEpHaSnWG3Wtz9\nF+Dl6CGS82bPDp1wX3kF9tgDXnstdMitl7Y/F0RE8od+lYqk0MKFcMMNsNdeoYWlb1+YPh3OOkvB\nRUQkVZJueTGzDYAzCcsAbA9sXMmuHvWFEck5ZcOe774bVq4MrS7XXQebbRZ3ZSIiuSep8GJm2wDv\nAvsTFmWsivq6SM5xh/79w6RyX38Nl1wCd96pWXFFRNIp2ZaXe4FWwJeE9YtmAb8kW5RINhg/PiyU\nOGFC6JQ7aBDss0/cVYmI5L5kw8tJQDFwqLsvSEE9InXel1/CzTfDgAFwwAEwYgR01A1REZGMSbYL\n4abAOAUXyQeLF4fVnffeGyZOhBdegMmTFVxERDIt2ZaX/wCbpKIQkbqqtBSeew5uvTUEmNtvD7eL\nNt007spERPJTsi0vTwMdzGzHVBQjUteMGwcHHwx/+ENoYZk5E/78ZwUXEZE4JRVe3P1R4C3gfTM7\n3szqzEwWZlbPzO42s6/MbJmZfWlmt1ew311mNjfa5z0z2z2OeqVu+f576NoVjjwyfD92bFhMUQsn\niojELxUz7F5GWIhxKLDGzH4ASivYz919txS8XnXdHNV2AfA50AZ4zswWRaELM7uJsJDkhcDXhPWX\nhptZS3dflcFapY5Yvhzuvx/uuQe22AKeeQYuvFATzImI1CXJzvOyEzAG2Ikwz0sDYOdKds/0PC+H\nAYPcfVj0/bdm1pWw2nWZHsDd7j4EwMwuIIye6gz0y2SxEi93GDgQevaEH34IX2+7DbbcMu7KRESk\nvGRbXnoRwspY4EHCPC9Lki0qRcYDl5rZHu4+y8xaAUcAPQHMrDnQDBhZdoC7LzaziYTgo/CSJ778\nEq6+Oiya2KlTGPq8xx5xVyUiIpVJNrwcA3wDHOvuK1NQTyrdA2wJfGFmawn9e25z91ej55sRWoOK\nyx1XHD0nOW758nB7qFcvaNYsTDJ3yilxVyUiIuuTbHjZBBhVB4MLwNlAV+AcQp+XA4CHzWyuu79Y\nxXGGljLIeUOHhtaW774LCynedptGEImIZItkw8vnwFapKCQN7gX+7u6vR99PN7NdgVuAF4F5hKCy\nLeu2vjQFPq3qxD179qRhw4brbCssLKSwsDAlhUv6fPMN/OlP8OabcMwxIcTstVfcVYmI5JaioiKK\niorW2VZSUpKy8ycbXh4BnjGzfd3936koKIU25bctKKVEw8Pd/Wszm0dYDXsagJltCRwCPFbViXv3\n7k3r1q1TXrCkz6pV8MADYdXnxo3h1VfhrLPA1recqIiI1FhFf9BPmTKFgoKClJw/qfDi7i+Z2d6E\neV7uAN5x929TUlnyhgC3mdl3wHSgNaGz7lMJ+zwE3G5mXwKzgbuB74FBmS1V0mncOLj0UvjPf6BH\nj7Dq8xZbxF2ViIjUVrJDpdcmfPt4tK2y3d3dUzGvTHVdRQgjjxFuBc0lrHx9d0JB95rZpkBfoBFh\n2PeJmuMlN5SUhAUU//nPMEvulCmw//5xVyUiIslKNkzUpNE9ow307r4UuDZ6VLXfncCdGShJMmjg\nQLjqqrAWUZ8+cOWVUL9+3FWJiEgqJLs8QL2aPFJVtEhl5s6F008Pj9at4fPPw6giBRcRkdyhQCE5\nobQ03B5q2RLGj4fXXoPBg7UWkYhILlJ4kaz3xRfQvj1ccQWceSbMmKGRRCIiuaxG4cXMbjWzTsm8\noJl1MrNbkzmHCMDatXDffXDAAVBcDKNGwVNPhaHQIiKSu2ra8vJX4IwkX7MLCSN+RGpj5kxo2xZu\nugm6d4epU6FDh7irEhGRTNBtI8kqa9eGyeYOOAB++gnGjAnfb7JJ3JWJiEim1GaodBcz65DEazZJ\n4ljJY//5D1x8MUyYECab+9vftB6RiEg+qk142Tx6JEMLH0q1rV0b5mq59VbYYQcYPTrcMhIRkfxU\n0/DSPC1ViFTiq6/gwgth7Fi45hr4+99hs83irkpEROJUo/Di7t+kqxCRRO7w/PNhgrkmTeCDD8Jw\naBEREXXYlTrn55/DPC0XXwxnnBFGEim4iIhImUwulCiyXiNGhNtEy5dDv35h0jkREZFEanmROmHF\nCrjuOjj22DDF/7RpCi4iIlIxtbxI7P79b+jaNUw898AD8Kc/QT3FahERqYQ+IiQ27vDoo9CmTVhY\ncdIkuPZaBRcREamaPiYkFosWQZcuYTTRpZfCJ59Aq1ZxVyUiItlAt40k4yZNgrPPhoULYcAAOP30\nuCsSEZFsopYXyRh36N0bjjwSmjaFTz9VcBERkZpTeJGMWLAAOncOfVquvjosqNhc8zWLiEgtpPW2\nkZltBFwH7Ad8A7zo7tPT+ZpS90yYEG4TLVkCgwfDySfHXZGIiGSzdLe8PAU0BuYDHYHJZva3NL+m\n1BFlt4natYOddoLPPlNwERGR5KU7vHzs7je4+9XufhDQAmhiZj3T/LoSs6VL4dxzw22iHj3C2kQ7\n7xx3VSIikgvSHV7WmtkmZd+4+1x3vwxomObXlRj9979w2GHhFtFrr8H990ODBnFXJSIiuSLd4WUm\nMMrMuplZi4TtP6f5dSUm77wTJp1bvhw++igssCgiIpJK6Q4vfwDeAboAn5rZt2Y2FdjDzHYDMLM7\n0lyDZEBpKdx9N3TqFIZCf/wx7Ltv3FWJiEguSvckdZ8BI939f8ysHtAa6AC0Bz4xs2VRDXenuQ5J\no5ISuOACGDIE7rwTbr9dU/yLiEj6pDu8PAq0MbND3f0j4JPocb+ZGXAg8Fiaa5A0mjULTjoJiotD\neOnUKe6KREQk16X77+MTgUuAU8xsi8QnPJgCXJ/mGiRN3n8fDjkktLJ8/LGCi4iIZEZKwouZjTez\nf5tZHzM73cy2BnD3/u5+PvA00KeiY919XCpqqKSu7c3sRTObb2bLzGyqmbUut89dZjY3ev49M9s9\nXfXkkieegOOPh4MOCpPQ7bFH3BWJiEi+SFXLy2uAA92B/kCxmX1mZg+a2elAU2DHFL1WtZhZI2Ac\nsBI4HmhJmO13YcI+NwFXAZcBBwNLgeFmtmEma80ma9fCn/4El10WHm+/DY0axV2ViIjkk5T0eXH3\nh4GHzWwroB2hQ25b4GrgT4Rg0ysVr1UDNwPfuvslCdu+KbdPD+Budx8CYGYXAMVAZ6BfRqrMIosX\nwznnwLvvwqOPQvfucVckIiL5KKV9Xtx9gbu/6e493b0NsBVwOvABcE8qX6saTiaMaOpnZsVmNsXM\n/j/ImFlzoBkwsmybuy8GJgKHZbjWOu/rr+Hww2H8eBg6VMFFRETik9YOu+7+i7u/CVwE3JXO16pA\nC+AKwkR5xwH/BPqY2XnR880ILULF5Y4rjp6TyMSJoWPuihWhf8txx8VdkYiI5LOU3DYys82BC4Ef\ngbfcfXni8+7+XbTCdCbVAya5e9kkeFPNbB9CoHmpiuOMEGoq1bNnTxo2XHeFg8LCQgoLC5Mot256\n660wS+6BB8KgQdCkSdwViYhIXVdUVERRUdE620pKSlJ2/lTN8zKQsGo0QImZvUbouDvG3Vea2ZZA\n8xS9VnX9AMwot20G4TYWwDxCUNmWdVtfmgKfVnXi3r1707p166p2yQlPPAFXXAGnngovvwybbLL+\nY0RERCr6g37KlCkUFBSk5Pypum30I7A5YVTPW8C5wHDgFzObQwgHH6fotaprHLBXuW17EXXadfev\nCQGmLHQRhaxDgPEZqrFOcoc//zmMJrrySnj9dQUXERGpO1LV8rIA2M7d3wPeM7ONgROANkAj4CN3\nr+pWTTr0BsaZ2S2EkUOHECbMuzRhn4eA283sS2A2YZmC74FBmS217li9OoSWZ5+FXr3ghhvALO6q\nREREfpWq8HIjcEc0P8oz7v458Gb0iIW7f2JmpxFGOd0BfA30cPdXE/a518w2BfoSQtYY4ER3XxVH\nzXFbvhzOPhuGDYOXXoJzz427IhERkd9K1Twvy4FbzawJsEMqzpkK7j4UGLqefe4E7sxEPXXZ4sVw\nyikwaRIMHgwnnBB3RSIiIhVL6cKM7j4fmJ/Kc0r6zZ8PJ54YFll87z044oi4KxIREalculeVljru\n++/DvC0//wyjR0OrVnFXJCIiUjWFlzz23/9Cx45hdNHYsVpcUUREskNaZ9iVumvWLGjfHjbaSMFF\nRESyi8JLHpo5MwSXLbaADz6AnXaKuyIREZHqU3jJM59/HoLLVluF4LLddnFXJCIiUjMKL3nkX/+C\nDh1g221h1KjwVUREJNsovOSJ6dPh6KNhhx3g/fdhm23irkhERKR2NNooD8yaBcccA9tvDyNHhltG\nIiIi2UotLznu669Di0vjxmECOgUXERHJdgovOez778M8LhttBCNGQNOmcVckIiKSPN02ylHFxSG4\nrF0bOuduv33cFYmIiKSGwksOKimB44+HX36BMWNgl13irkhERCR1FF5yzIoV0LkzfPMNfPgh7LZb\n3BWJiIiklsJLDlm7Fs49Fz76KHTO3W+/uCsSERFJPYWXHOEO3bvDoEEwcCAceWTcFYmIiKSHwkuO\nuOsu6NsXnnkGTj457mpERETSR0Olc8ALL8Cdd8Lf/w4XXxx3NSIiIuml8JLlPvgALrkkPG6+Oe5q\nRERE0k/hJYvNnAmnnx5WiX78cTCLuyIREZH0U3jJUvPnQ6dOsN128Prr0KBB3BWJiIhkhjrsZqFV\nq+C008IkdCNGQKNGcVckIiKSOQovWeiaa2DSJBg9GnbdNe5qREREMkvhJcv07RseTz8Nhx4adzUi\nIiKZpz4vWWTcOLj66jAZXbducVcjIiISD4WXLDFnDpxxBhx2GPTuHXc1IiIi8VF4yQKrVkGXLmFE\nkUYWiYhIvlOflyxwyy0weTKMGQNNm8ZdjYiISLzypuXFzG4xs1IzezBh20Zm9piZzTezX8ysv5nV\nqXgwaBA8+CDcey8cckjc1YiIiMQvL8KLmR0EXApMLffUQ0An4AygHbA9MCCz1VVu9my46CLo3Bl6\n9Ii7GhERkboh58OLmW0OvARcAixK2L4l0A3o6e6j3f1T4GLgCDM7OJZiE6xaBWefHSage+YZTf0v\nIiJSJufDC/AYMMTd3y+3vQ2hz8/Isg3uPhP4Fjgsc+VV7I474NNPoV8/aNw47mpERETqjpzusGtm\n5wAHEIJKedsCq9x9cbntxUCzdNdWldGj4b77oFcvOOigOCsRERGpe3I2vJjZjoQ+Lce6++qaHAp4\nVTv07NmThg0brrOtsLCQwsLCGtdZ3qJFcMEF0K4dXHtt0qcTERHJuKKiIoqKitbZVlJSkrLzm3uV\nn9NZy8xOBd4A1hICCUB9QjBZC5wAjAAaJba+mNlsoLe7P1zBOVsDkydPnkzr1q3TUvd558GQITBt\nGuyyS1peQkREJOOmTJlCQUEBQIG7T0nmXDnb8kIIJvuV2/YcMAO4B5gDrAY6AgMBzGxPYGdgQsaq\nTPDqq/Dyy/DiiwouIiIilcnZ8OLuS4HPE7eZ2VLgZ3efEX3/NPCgmS0EfgH6AOPcfVKm6503D668\nEs46C849N9OvLiIikj1yNrxUovw9sp6EW0j9gY2AYUD3TBcFYcHFDTaAxx7TsGgREZGq5FV4cfej\ny32/Erg6esTmjTegf/9w26hJkzgrERERqfvyYZ6XOm3hQujeHU45JdwyEhERkaopvMTs+uth2TJ4\n/HHdLhIREamOvLptVNd8+GGY+r9vX9hhh7irERERyQ5qeYnJ6tXhdtEhh8All8RdjYiISPZQy0tM\nHnsMpk+HTz6BeoqQIiIi1aaPzRjMmwd/+QtcfjmkaaJeERGRnKXwEoMbb4QGDeCvf427EhERkeyj\n20YZNnFimP7/iSdgq63irkZERCT7qOUlg9zhhhtgv/2gW7e4qxEREclOannJoMGDYcwYeOcdqF8/\n7mpERESyk1peMmTNGrjpJujYEY4/Pu5qREREspdaXjLk6adh5kwoKtJMuiIiIslQy0sGLF8Od94J\n554LBx4YdzUiIiLZTeElA554An76KQQYERERSY7CS5qtWAG9eoVWl913j7saERGR7KfwkmZPPgnF\nxXD77XFXIiIikhsUXtJoxQq4557Q6rLHHnFXIyIikhsUXtLo2WfDOkZqdREREUkdhZc0KS2F3r3h\n9NNhzz3jrkZERCR3aJ6XNBkyBGbNghdeiLsSERGR3KKWlzR58EE4/HA49NC4KxEREcktanlJg08+\ngQ8/hAED4q5EREQk96jlJQ1694YWLeDUU+OuREREJPcovKTY/PnQvz9ccYVWjhYREUkHhZcUK+ug\ne9FFsZYhIiKSsxReUsg9rGN0xhnQpEnc1YiIiOQmhZcU+vBDmDkT/vjHuCsRERHJXTkbXszsFjOb\nZGaLzazYzAaa2Z7l9tnIzB4zs/lm9ouZ9TezprV9zSeeCMsAtG+ffP0iIiJSsZwNL0Bb4BHgEOAY\noAHwrpltkrDPQ0An4AygHbA9UKsBzkuWwMCBcPHFYJZU3SIiIlKFnJ3nxd1/n/i9mV0E/AgUAGPN\nbEugG3COu4+O9rkYmGFmB7v7pJq83qBBsHw5FBampHwRERGpRC63vJTXCHBgQfR9ASG8jSzbwd1n\nAt8Ch9X05EVFYUbdXXdNvlARERGpXF6EFzMzwi2ise7+ebS5GbDK3ReX2704eq7a5s+H4cOha9fk\naxUREZGq5exto3IeB/YGjqzGvkZooam2/v3DMOkzz6xNaSIiIlITOR9ezOxR4PdAW3efm/DUPGBD\nM9uyXOtLU0LrS6V69uxJw4YN///7CROgZctCmjZVhxcREZGioiKKiorW2VZSUpKy85t7jRoZskoU\nXE4F2rv7V+We2xL4idBhd2C0bU/gC+DQijrsmllrYPLkyZNp3bo1ACUlsM02YT2j7t3Tez0iIiLZ\nasqUKRQUFAAUuPuUZM6Vsy0vZvY4UAicAiw1s22jp0rcfYW7Lzazp4EHzWwh8AvQBxhXk5FGw4fD\n6tVw0kmpvgIRERGpSM6GF+ByQt+VD8ptvxiIViCiJ7AW6A9sBAwDatR+MmQItGoFu+ySVK0iIiJS\nTTkbXtx9vSOp3H0lcHX0qLE1a2DoULjyytocLSIiIrWRF0Ol02XiRFiwQLeMREREMknhJQnvvw+N\nGkGbNnFXIiIikj8UXpIwahS0awf168ddiYiISP5QeKmlFStg/Hg46qi4KxEREckvCi+1NGECrFyp\n8CIiIpJpCi+1NGoUbL017Ldf3JWIiIjkF4WXWvroo7CKdD39FxQREckoffTWgjt88gkcdFDclYiI\niOQfhZda+P57WLhQ4UVERCQOCi+1MH16+Kr5XURERDJP4aUWpk+H5s2hSZO4KxEREck/Ci+1MHMm\nhFW9RUREJNMUXmrhq69g773jrkJERCQ/KbzUwsKF0LJl3FWIiIjkJ4WXWlJ4ERERiYfCSy3tuWfc\nFYiIiOQnhZda2GEH2GSTuKsQERHJTwovtbDDDnFXICIikr8UXmph223jrkBERCR/KbzUQrNmcVcg\nIiKSvxReakEtLyIiIvFReKkFhRcREZH4KLzUQtOmcVcgIiKSvxReaqFhw7grEBERyV8KL7WwxRZx\nVyAiIpK/FF5qYeON465AREQkfym8iIiISFZReBEREZGsovACmFl3M/vazJab2UdmdlDcNcWtqKgo\n7hIyQteZW/LlOiF/rlXXKRXJ+/BiZmcDDwB/AQ4EpgLDzaxJrIXFLF/+R9J15pZ8uU7In2vVdUpF\n8j68AD2Bvu7+grt/AVwOLAO6xVuWiIiIVCSvw4uZNQAKgJFl29zdgRHAYXHVJSIiIpXL6/ACNAHq\nA8XlthcDWn5RRESkDtog7gLqKAO8gu0bA8yYMSOz1cSgpKSEKVOmxF1G2uk6c0u+XCfkz7XqOnNH\nwmdn0rOlWbhLkp+i20bLgDPcfXDC9ueAhu5+Wrn9uwIvZ7RIERGR3HKuu7+SzAnyuuXF3Veb2WSg\nIzAYwMws+r5PBYcMB84FZgMrMlSmiIhILtgY2JXwWZqUvG55ATCzs4DngcuASYTRR12A37n7T3HW\nJiIiIr+V1y0vAO7eL5rT5S5gW+Az4HgFFxERkbop71teREREJLvk+1BpERERyTIKLyIiIpJVFF6q\nKR8WbzSzW8xskpktNrNiMxtoZnvGXVe6RdddamYPxl1LqpnZ9mb2opnNN7NlZjbVzFrHXVcqmVk9\nM7vbzL6KrvFLM7s97rqSZWZtzWywmc2J3p+nVLDPXWY2N7ru98xs9zhqTUZV12lmG5hZLzObZmZL\non2eN7Pt4qy5tqrzM03Yt2+0zzWZrDEVqvnebWlmg8xsUfSznWhmO1b3NRReqiGPFm9sCzwCHAIc\nAzQA3jWzTWKtKo2iEHop4WeaU8ysETAOWAkcD7QErgMWxllXGtxMGC14JfA74EbgRjO7KtaqkrcZ\nYQBBdyqYNNPMbgKuIlz7wcBSwu+lDTNZZApUdZ2bAgcA/0P43XsasBcwKJMFplCVP9MyZtaZ8DOd\nk6G6Um19793dgDHA50A7YD/gbmowBYk67FaDmX0ETHT3HtH3BnwH9HH3e2MtLo2icPYj0M7dx8Zd\nT6qZ2ebAZOAK4A7gU3e/Nt6qUsfM7gEOc/f2cdeSTmY2BJjn7pcmbOsPLHP3C+KrLHXMrBToXG4y\nzbnAfe7eO/p+S8LSJhe6e794Kk1ORddZwT5tgInALu7+fcaKS7HKrtXMdgAmEP7gGAr0dveK5h3L\nCpW8d4uAVe5+YW3Pq5aX9cjzxRsbEVLzgrgLSZPHgCHu/n7chaTJycAnZtYvug04xcwuibuoNBgP\ndDSzPQDMrBVwBOEXf04ys+aE9dcSfy8tJnyo58vvpUVxF5Jq0R/GLwD3untOrkMTXWMnYJaZDYt+\nN31kZqfW5DwKL+uXl4s3Rm+wh4Cx7v553PWkmpmdQ2iOviXuWtKoBaFVaSZwHPBPoI+ZnRdrVal3\nD/Aa8IWZrSK0pj3k7q/GW1ZaNSN8gOfb76WNCD/vV9x9Sdz1pMHNhBaJR+MuJI2aApsDNxH+wDgW\nGAi8YWZtq3uSvJ+kLgmVLd6YKx4H9ib8BZtTok5hDwHHuvvquOtJo3rAJHe/I/p+qpntQwg0L8VX\nVsqdDXQFziHcQz8AeNjM5rr7i7FWlnk5+3vJzDYAXidc35Uxl5NyZlYAXEPo25PLyhpN3ky4HTbN\nzA4HLif0han2SaRy84G1hNl3EzXlt3/15AQzexT4PdDB3X+Iu540KAC2ASab2WozWw20B3qY2aqo\n1SkX/ACUb3qeAewcQy3pdC/wv+7+urtP/7/27j/0rrqO4/jzVbOWC7GyMMEEGfpPuRqLCqVp9ksR\n65+iIExMIshG1B/9MFGoFiFuIGQRMvuBWqJ/hall1pCFlRVF0nC1pTMbZRNz32m09u6Pz/nW7et3\nP77s3nt27p4PONxzzznfe96HL/dzX/fzueecqroZ2Mhs96rtogWVY6JdGgkupwJvn9Fel3No7dLO\nkXbpNGBDku39ljZWTwD7OMK2yfByCN038/mbNwL/d/PGn/ZV16R0weVdwHlV9Wjf9UzIvbRft78W\nWNVND9J6I1bV7PyKfQvtzIxRZwKP9FDLJB3Pc3sb9jPD7VtV7aAFmNF26QTamYIz1S6NBJfTgfOr\natbOlpv3LeAs/tcmrQIep4Xzd/RY11h1n6m/4Llt0xksoW1y2OjwbAC+mXYH6vmbNx4PfKPPosYt\nyQ3A+4GLgbkk89/qnqqqmbmLdlXN0YYX/ivJHPD3GfuR3EZgS5LPALfRPtgup50aPku+B1yZZCfw\nELeH8wYAAASmSURBVLCa9h69sdeqjlCSFcBKWg8LwOndj5F3V9VO2tDn55L8gXan+88DjzGw04gP\ndpy0D+87aF80LgKOG2mXdg9t2Pcw/qdPLtj+X7Qz6bZNt9IjcxjHeS3wnST3Az8GLqD9fw//zMiq\ncjqMiTbG+ifgGdppbGv6rmkCx7ifNkS2cLqk79qmcOz3ARv6rmMCx3Uh8FtgL+2D/bK+a5rAMa6g\nfcHYQbvWyTbadUGW9V3bER7X2gO8JzeNbHMN7QN+L3APsLLvusd5nLRhk4Xr5p+/ue/aJ/E/XbD9\ndmBd33VP4jiBS4GHu/fsr4CLlrIPr/MiSZIGZWbHhCVJ0mwyvEiSpEExvEiSpEExvEiSpEExvEiS\npEExvEiSpEExvEiSpEExvEiSpEExvEiSpEExvEiSpEExvEiSpEExvEgarCSnJdm/YPrsFPe/dcG+\n75vWvqVj2bK+C5CkMdgD3N7N/2aK+70DeCVwMvDOKe5XOqYZXiTNgieq6rJp77SqrgRIshbDizQ1\nDhtJkqRBMbxImnnd71H+3c1/IMnPkjyd5K9Jbkly6si2VyT5dZK5JH9LclOSl/dXvaSFDC+SjhlJ\n1gObgH8A3wfmgPcB9yc5Mcl3gS8DjwN3AfuADwI/SOIwu3SU8M0oaaySnAhcTWtfVgK3AbcA1wIB\nXgJ8sap+30N5lwOrq+p3Xa0vBH4InA1sBl4EnFlVj3XrXwo8AJwFvAe4tYeaJS1geJE0NkmOA24A\nPlFVu5K8CtgBXAx8HDgDuBPYDazrocSr5oMLQFX9M8kG4Bzg1cCF88GlW787yVeB64DzMbxIRwWH\njSSN00eATVW1q3v+LK23ZUdVPQI8H3iY/kLAXYss29Y97qP1whxo/SkTqUjSktnzImmcdlfVvSPP\n13SPdwNU1d3z832oqkcXWbyne/xLVe1fZP3T3ePyyVQlaanseZE0NlV184JFb6H1aGzpoZylWiy4\nSDoKGV4kTdJ5wC+raq7vQiTNDsOLpInozjpaBfxkwfIPjcx/KsmtSd6a5KNJ1iX5dncWkCQtyvAi\naSySnNRd/O2qbtEFtDbm56PbAG/q5s8FfgRsBb5A+6Hv9cAu4JNTLF3SwBheJI3LWuD1QJIsB94L\n/Bl4MW3hCuB64Jpu+2er6kHgDcDXq+qZbvly4DVTrFvSwHi2kaRxuQe4EXgF8DXg08AJwPruxoUv\nANbPX0elqh5I8jzaBeKuGHmdN9J6ZMatDrHuSNZLmiLDi6SxqKo9wIcXWfW2g/zZauCpqtoOkOQU\nWq/LpWOu7YC9zCPXnznQ+s0HWy9p+gwvkvp0LvDkyPOrgeuq6qElvs5JSW7q5m+vqjvHUdyhJPkS\ncHI3SZoSw4ukPq0FNif5GPAyYGtVbVziaxSwArike76NdguCaXg37ZYH83U4tCRNQap8r0maviSh\n3eNoTVX9se96JA2HZxtJ6svrgL0GF0lLZXiRNHVJzga+AiwbuS6MJB0Wh40kSdKg2PMiSZIGxfAi\nSZIGxfAiSZIGxfAiSZIGxfAiSZIGxfAiSZIGxfAiSZIGxfAiSZIGxfAiSZIGxfAiSZIGxfAiSZIG\n5T/4lGtm04b/EAAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "xp_Vec = numpy.zeros( len(t_Vec) )\n", "up_Vec = numpy.zeros( len(t_Vec) )\n", "xp_Vec[0] = 0. # initial position of the particle\n", "\n", "dParticle = 10.E-6\n", "\n", "evolveParticle(deltaT, t_Vec, xp_Vec, up_Vec, dParticle, rho_Al)\n", "plt.plot(xp_Vec, up_Vec)\n", "plt.xlabel(r'$x_p$ [m]',fontsize=16)\n", "plt.ylabel(r'$u_p$ [m/s]',fontsize=16)\n", "plt.title(r'$d_p = ${}$ m,\\ \\rho_p = ${}'.format(dParticle, rho_Al),fontsize=16)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "In this case, speeds can be much higher: after $1 m$ of tube the particle is already travelling at $40 m s^{-1}$. clearly, much higher speeds can be achieved if the geometry allows." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Dust particle, disk (or flake): disk diameter $100 \\mu m$, thickness $10 \\mu m$\n", "\n", "This case is easily simulated, it is sufficient to lower the density by a factor 10, which takes into account the reduction of one of the dimensions." ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAi8AAAGYCAYAAACK8wIUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nXjG8SJKkXvkXTivACnflSI0AAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "xp_Vec = numpy.zeros( len(t_Vec) )\n", "up_Vec = numpy.zeros( len(t_Vec) )\n", "xp_Vec[0] = 0. # initial position of the particle\n", "\n", "dParticle = 100.E-6\n", "\n", "evolveParticle(deltaT, t_Vec, xp_Vec, up_Vec, dParticle, rho_Al/10)\n", "plt.plot(xp_Vec, up_Vec)\n", "plt.xlabel(r'$x_p$ [m]',fontsize=16)\n", "plt.ylabel(r'$u_p$ [m/s]',fontsize=16)\n", "plt.title(r'$d_p = ${}$ m,\\ \\rho_p = ${}'.format(dParticle, rho_Al/10),fontsize=16)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Not surpringly, the speed achieved is the same as for the previous case: the reason is that, as we have discussed, in the regime considered the drag coefficient scales as $d_p^{-1}$, hence lowering $d_p$ by a factor of $10$, or lowering the particle's density by the same factor, achieve the same result.\n", "\n", "Again, already after 1 m of tube the dust particle is traveling at about $40 m s^{-1}$. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Conclusions\n", "\n", "The pressure imbalance between two sections of tube respectively at $p_1 = 10 \\mathrm{Pa}$, $p_5 = 10^{-2} \\mathrm{Pa}$ is sufficient to generate an air flow with speeds of the order of $800 m s^{-1}$.\n", "\n", "Even though densities are low, the flow is sufficient to accelerate dust particles to speeds wll above $10 m s^{-1}$, and even higher depending on the shape and density.\n", "\n", "A limitation of this study is that the cross-section of the tube is assumed constant. Work is in progress to simulate the case of an arbitrary variable cross section, which requires a numerical integrator." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## References" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* Sod, Gary A. (1978) \"A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws,\" *J. Comput. Phys.*, 27 (1978) 1–31 DOI: [10.1016/0021-9991(78)90023-2](http://dx.doi.org/10.1016%2F0021-9991%2878%2990023-2) // [PDF from Uni-Tuebingen](http://www.tat.physik.uni-tuebingen.de/~kley/lehre/bhydro/sod-paper.pdf), checked Nov. 3 , 2016.\n", "\n", "* Comparison of integration methods: http://www.thevisualroom.com/sods_test_problem.html#maccormack\n", "\n", "* Stover, M. et al. (2014) \"Simulation of windblown dust transport from a mine tailings impounding using a computational fluid dynamics model\", Aeolian Res. 14 (2014) 75-83, https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4303573/\n", "\n", "* Cunningham, E. (1910 \"On the velocity of steady fall of spherical particles through fluid medium,\" Proc. Roy. Soc. A 83 (1910) 357. DOI: [10.1098/rspa.1910.0024](http://dx.doi.org/10.1098/rspa.1910.0024)\n", "\n", "* Pfeiffer Vacuum, https://www.pfeiffer-vacuum.com/en/know-how/introduction-to-vacuum-technology/fundamentals/mean-free-path/\n", "\n", "* Bale, D.S. (2002) \"Wave propagation algorithms on curved manifolds with applications to relativistic hydrodynamics\", Ph.D. Thesis, Washington University\n", "http://faculty.washington.edu/rjl/students/dbale/thesis.ps.gz\n", "\n", "* Hudson, J (1998) \"Numerical techniques for conservation laws with source terms\", MSc Dissertation, \n", "http://www.reading.ac.uk/web/files/maths/J_Hudson.pdf\n", "\n", "* Höfner, S \"Gas Dynamics: The Riemann Problem and Discontinuous Solutions: Application to the Shock Tube Problem\", http://www.astro.uu.se/~hoefner/astro/teach/ch10.pdf" ] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.12" } }, "nbformat": 4, "nbformat_minor": 0 }