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@mhogg
Created August 14, 2016 23:19
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Temasek - Calculation for pressure drop through foam\n",
"\n",
"---"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### AIM\n",
"\n",
"To calculate the coefficients required to model a porous domain in ANSYS CFX from experimental flow measurements of a test foam.\n",
"\n",
"---\n",
"\n",
"### THEORY\n",
"\n",
"Isotropic loss model in ANSYS CFX calculates the pressure drop through a porous domain using permeability and quadratic loss coefficients, $K_{perm}$ and $K_{loss}$, as follows:\n",
"\n",
"$$ \\frac{dP}{dx} = -\\left(\\frac{\\mu}{K_{perm}}\\right) U - K_{loss}\\left(\\frac{\\rho}{2}\\right) \\lvert \\boldsymbol{U} \\rvert U $$\n",
"\n",
"Alternatively, this can also we written using the linear and quadratic resistance coefficients, $C_{R1}$ and $C_{R2}$, as:\n",
"\n",
"$$ \\frac{dP}{dx} = -C_{R1} U - C_{R2} \\lvert \\boldsymbol{U} \\rvert U $$\n",
"\n",
"where $C_{R1} = \\left(\\frac{\\mu}{K_{perm}}\\right)$ and $C_{R2} = K_{loss}\\left(\\frac{\\rho}{2}\\right)$\n",
"\n",
"---\n",
"\n",
"### REFERENCE\n",
"\n",
"Section 1.8.1.1 of the ANSYS help, titled *Isotropic Loss Model*\n",
"\n",
"---"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"%matplotlib inline\n",
"from matplotlib.pyplot import *\n",
"from IPython.display import display, Math\n",
"from numpy import *"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Provided experimental data"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"pdata = \"\"\"Flow_lpm, PressureDrop_cmH20\n",
" 30, 0.85\n",
" 50, 1.75\n",
"100, 5.00\n",
"\"\"\"\n",
"thickness_mm = 5.5 # Axial length of foam material (mm)\n",
"diam_mm = 19.0 # Diameter of tubing containing foam (mm) NOTE: This is an over estimation."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[[ 0. 0. ]\n",
" [ 30. 0.85]\n",
" [ 50. 1.75]\n",
" [ 100. 5. ]]\n"
]
}
],
"source": [
"# Put data in array\n",
"data = [[0,0]]\n",
"for line in pdata.split('\\n')[1:]:\n",
" if line=='': continue\n",
" vals = [float(v) for v in line.split(',')]\n",
" data.append(vals)\n",
"data = array(data)\n",
"print data\n",
"\n",
"thickness = thickness_mm / 1000.\n",
"diam = diam_mm / 1000.\n",
"A = pi*(diam/2.0)**2.0"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Initial calculations"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# Air properties\n",
"density = 1.1837 # kg/m3\n",
"viscosity = 1.831e-5 # kg/ms"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# Define functions to convert units\n",
"def convert_lmin_m3s(Q):\n",
" return array(Q) / (1000. * 60.)\n",
"def convert_m3s_lmin(Q):\n",
" return array(Q) * (1000. * 60.)\n",
"def convert_cmH20_Pa(p):\n",
" return array(p) * 98.1\n",
"def convert_Pa_cmH20(p):\n",
" return array(p) / 98.1"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"# Convert data units\n",
"Q = convert_lmin_m3s(data[:,0])\n",
"dP = convert_cmH20_Pa(data[:,1])"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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YxALAhJTSFxExG9APODOl9OBk77PxjKQ2Ydw42HFHmG22fD7rbLMVnUi1qgLN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\niIikiBJ1ERERERERkRT5XxhyA3AZPvYgAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x6c58b00>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Plot experimental data\n",
"fig, axes = subplots(1,2)\n",
"fig.set_size_inches([14,5])\n",
"ax1,ax2 = axes\n",
"ax1.plot(data[:,0],data[:,1],'bo-')\n",
"ax1.set_xlabel('Flow, Q (l/min)')\n",
"ax1.set_ylabel('Pressure drop, $\\Delta P$ (cm H20)')\n",
"ax2.plot(Q,dP,'bo-')\n",
"ax2.set_xlabel('Flow, Q (m3/s)')\n",
"ax2.set_ylabel('Pressure drop, $\\Delta P$ (Pa)');\n",
"fig.tight_layout()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Calculate flow velocity $U$ and pressure drop per length $dP/dx$"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Velocities (m/s) = [ 0. 1.76348967 2.93914946 5.87829891]\n",
"Pressure drop per length (Pa/m) = [ 0. 15160.90909091 31213.63636364 89181.81818182]\n"
]
}
],
"source": [
"# Get velocities at each flow condition\n",
"U = Q/A\n",
"print 'Velocities (m/s) = ', U\n",
"\n",
"# Get pressure drop per length at each flow condition\n",
"dpdx = dP/thickness\n",
"print 'Pressure drop per length (Pa/m) = ', dpdx"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Regression to calculate $C_{R1}$ and $C_{R2}$"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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jjDEmBlgjjzHGGGOMMcYYY0wMsEYeY4wxxhhjjDHGmBhQIo08IjJNRHaKyA8+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BIunsW+LiIiDzvszCXuriVJnVEbNXlqnf02edrPYYedxfXXn0zR4FnMX9Cl9tKKJk+tc34xz/El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\nBv4bdANEhU3qiDsAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x84484a8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, axes = subplots(1,3)\n",
"ax1, ax2, ax3 = axes\n",
"fig.set_size_inches([16,5])\n",
"x = linspace(0,6)\n",
"\n",
"# Quadratic fit\n",
"a,b,c = polyfit(U,dpdx,2)\n",
"p = poly1d([a,b,c])\n",
"y = p(x)\n",
"ax1.plot(x,y,label='Quad')\n",
"ax1.plot(U,dpdx,'bo',label='Raw data')\n",
"ax1.set_title('Quadratic fit\\na = %.1f, b = %.1f, c = %.1f\\n' % (a,b,c), fontsize=14)\n",
"ax1.legend(loc=0)\n",
"\n",
"# Quadratic fit through zero\n",
"A = np.vstack([x**2, x, zeros(len(x))]).T\n",
"a,b,c = linalg.lstsq(A, y)[0]\n",
"p0 = poly1d([a,b,0])\n",
"y0 = p0(x)\n",
"ax2.plot(x,y0,label='Quad through 0')\n",
"ax2.plot(U,dpdx,'bo',label='Raw data')\n",
"ax2.set_title('Quadratic fit through (x,y) = (0,0)\\na = %.1f, b = %.1f, c = %.1f\\n' % (a,b,0), fontsize=14)\n",
"ax2.legend(loc=0)\n",
"\n",
"# Shared plot\n",
"ax3.plot(x,y,'-',label='Quad')\n",
"ax3.plot(x,y0,'-',label='Quad through 0')\n",
"#ax3.plot(x,5500.*(x**2.),label='Current value')\n",
"ax3.plot(U,dpdx,'bo',label='Raw data')\n",
"ax3.set_title('Both plots\\n', fontsize=14)\n",
"ax3.legend(loc=0)\n",
"\n",
"for ax in axes:\n",
" ax.set_xlabel('Velocity, U (m/s)')\n",
" ax.set_ylabel(r'Pressure drop per length, dP/dx (Pa/m)')\n",
" \n",
"fig.tight_layout()"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/latex": [
"$$C_{R1} = 5943$$"
],
"text/plain": [
"<IPython.core.display.Math object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/latex": [
"$$C_{R2} = 1571$$"
],
"text/plain": [
"<IPython.core.display.Math object>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Print results of regression\n",
"CR1, CR2 = b,a\n",
"display(Math('C_{R1} = %.0f' % CR1))\n",
"display(Math('C_{R2} = %.0f' % CR2))"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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CrWOPc4F/AydvU7SSk9SnG065CqM8hVOuwmwpTy+//FOXR74WFImqcEyFu39X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\nK4v/A4kd8pIgJs1YAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x6c58e80>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Save final plot to file\n",
"fig = figure()\n",
"fig.set_size_inches([8,6])\n",
"ax1 = fig.add_subplot(111)\n",
"ax1.plot(x,y0,'-',label='Quadratic fit')\n",
"ax1.plot(U,dpdx,'bo',label='Raw data')\n",
"ax1.set_xlabel('Velocity, U (m/s)',fontsize=14)\n",
"ax1.set_ylabel(r'Pressure drop per length, dP/dx (Pa/m)',fontsize=14)\n",
"ax1.legend(loc=0,fontsize=12)\n",
"ax1.grid()\n",
"for label in (ax1.get_xticklabels() + ax1.get_yticklabels()): label.set_fontsize(12)\n",
"\n",
"fig.savefig('foam_pressureDrop_regression.png')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Calculate $K_{perm}$ and $K_{loss}$"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/latex": [
"$$K_{perm} = 3.081032e-09$$"
],
"text/plain": [
"<IPython.core.display.Math object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/latex": [
"$$K_{loss} = 2654$$"
],
"text/plain": [
"<IPython.core.display.Math object>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"Kperm = viscosity/CR1\n",
"Kloss = CR2/(density/2.0) \n",
"display(Math('K_{perm} = %.6e' % Kperm))\n",
"display(Math('K_{loss} = %.0f' % Kloss))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Increase foam resistance"
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" x1: CR1 = 5943, CR2 = 1571\n",
" x5: CR1 = 29714, CR2 = 7855\n",
"x10: CR1 = 59428, CR2 = 15710\n",
"x20: CR1 = 118856, CR2 = 31421\n"
]
},
{
"data": {
"image/png": 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jsduoaqVIBRhLrGbCGGMS25K9ezk3K4uPunShT5060Q4n6sJRM3Eq0Mj/8zJg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\nrkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0xbafa630>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = figure()\n",
"fig.set_size_inches([8,6])\n",
"ax = fig.add_subplot(111)\n",
"\n",
"factors = [1,5,10,20]\n",
"for f in factors:\n",
" a,b = f*CR1,f*CR2\n",
" p = poly1d([a,b,0])\n",
" y = p(x)\n",
" l = 'x%d' % f\n",
" ax.plot(x,y,label=l)\n",
" print \"%3s: CR1 = %6.0f, CR2 = %5.0f\" % (l,a,b)\n",
"\n",
"ax.set_title('', fontsize=14)\n",
"ax.set_xlabel('Velocity, U (m/s)',fontsize=14)\n",
"ax.set_ylabel(r'Pressure drop per length, dP/dx (Pa/m)',fontsize=14)\n",
"ax.legend(loc=0)\n",
"ax.grid()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"anaconda-cloud": {},
"kernelspec": {
"display_name": "Python [Root]",
"language": "python",
"name": "Python [Root]"
},
"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
}
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