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{
"metadata": {
"name": "",
"signature": "sha256:1f446f61d8838d40d2e31fd72ef3a0bc1e1a7f291c54a48c1366aef232ac3797"
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"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Chapter 13: Compressible Flow around a Body"
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 13.1, Page 444"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from __future__ import division\n",
"import math\n",
"\n",
"\n",
" #Initializing the variables\n",
"rho0 = 1.8;\n",
"R = 287;\n",
"T = 75+273; # Temperature in kelvin \n",
"gma = 1.4; \n",
"Ma = 0.7;\n",
"\n",
" #Calculations\n",
"P0 = rho0*R*T;\n",
"c = (gma*R*T)**0.5;\n",
"V0 = Ma*c;\n",
"Pt = (P0**((gma-1)/gma) + rho0*((gma-1)/gma)*(V0**2/(2*P0**(1/gma))))**(gma/(gma-1));\n",
"rhoT = rho0*(Pt/P0)**(1/gma);\n",
"Tt = Pt/(R*rhoT)-273;\n",
"\n",
"print \"Staganation Pressure (kN/m2 ) :\",round(Pt/1000,1)\n",
"print \"Temperature (Degree Celcius) :\",round(Tt,1)\n",
"print \"Density of airstream (kg/m3) :\",round(rhoT,3)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Staganation Pressure (kN/m2 ) : 249.4\n",
"Temperature (Degree Celcius) : 109.1\n",
"Density of airstream (kg/m3) : 2.274\n"
]
}
],
"prompt_number": 1
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 13.2, Page 454"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from __future__ import division\n",
"import math\n",
"\n",
"\n",
" #Initializing the variables\n",
"R = 287;\n",
"T = 28+273;\n",
"gma = 1.4;\n",
"P = 1.02*10**5;\n",
"rhoHg = 13.6*10**3;\n",
"g = 9.81;\n",
"\n",
" #Calculations\n",
" #Case(a)\n",
"U0 = 50;\n",
"c = (gma*R*T)**0.5;\n",
"Ma = U0/c;\n",
"rho = P/(R*T);\n",
"DelP = 0.5*rho*U0**2; #Pt-P\n",
"ha = DelP/(rhoHg*g);\n",
"\n",
" #Case(b)\n",
"U0 = 250;\n",
"Ma = U0/c;\n",
"Pt = P*(1+(gma-1)*Ma**2/2)**(gma/(gma-1)); \n",
"DelP = Pt-P\n",
"hb = DelP/(rhoHg*g);\n",
"\n",
" #Case (c)\n",
"U0 = 420;\n",
"Ma1 =U0/c;\n",
"P2 = P*((2*gma/(gma+1))*Ma1**2 - ((gma-1)/(gma+1)));\n",
"N = Ma1**2 +2/(gma-1); # Numerator\n",
"D = 2*gma*Ma1**2/(gma-1)-1;\n",
"Ma2 = (N/D)**0.5;\n",
"Pt2 = P2*(1+(gma-1)*Ma2**2/2)**(gma/(gma-1));\n",
"hc = (Pt2-P2)/(rhoHg*g) ; \n",
"\n",
"print \"Difference in height of mercury column in case (a) in mm :\",round(ha*1000,2)\n",
"print \"Difference in height of mercury column in case (b) in mm :\",round(hb*1000,1)\n",
"print \"Difference in height of mercury column in case (c) in mm :\",round(hc*1000,0)\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Difference in height of mercury column in case (a) in mm : 11.06\n",
"Difference in height of mercury column in case (b) in mm : 314.2\n",
"Difference in height of mercury column in case (c) in mm : 684.0\n"
]
}
],
"prompt_number": 2
}
],
"metadata": {}
}
]
}
|
