summaryrefslogtreecommitdiff
path: root/Fluid_Mechanics_by_John_F_Douglas/Chapter_13.ipynb
diff options
context:
space:
mode:
authorThomas Stephen Lee2015-09-04 22:04:10 +0530
committerThomas Stephen Lee2015-09-04 22:04:10 +0530
commit64419e47f762802600b3a2b6d8c433a16ccd3d55 (patch)
tree14ad7c37c9547cd516f141494f3fa375621edbaa /Fluid_Mechanics_by_John_F_Douglas/Chapter_13.ipynb
parent10f6fb8cd1d840a3042651dfaa6fd5af4924b94a (diff)
downloadPython-Textbook-Companions-64419e47f762802600b3a2b6d8c433a16ccd3d55.tar.gz
Python-Textbook-Companions-64419e47f762802600b3a2b6d8c433a16ccd3d55.tar.bz2
Python-Textbook-Companions-64419e47f762802600b3a2b6d8c433a16ccd3d55.zip
add/remove/update books
Diffstat (limited to 'Fluid_Mechanics_by_John_F_Douglas/Chapter_13.ipynb')
-rwxr-xr-xFluid_Mechanics_by_John_F_Douglas/Chapter_13.ipynb142
1 files changed, 142 insertions, 0 deletions
diff --git a/Fluid_Mechanics_by_John_F_Douglas/Chapter_13.ipynb b/Fluid_Mechanics_by_John_F_Douglas/Chapter_13.ipynb
new file mode 100755
index 00000000..664b4abf
--- /dev/null
+++ b/Fluid_Mechanics_by_John_F_Douglas/Chapter_13.ipynb
@@ -0,0 +1,142 @@
+{
+ "metadata": {
+ "name": "",
+ "signature": "sha256:1f446f61d8838d40d2e31fd72ef3a0bc1e1a7f291c54a48c1366aef232ac3797"
+ },
+ "nbformat": 3,
+ "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": {}
+ }
+ ]
+} \ No newline at end of file