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author | Thomas Stephen Lee | 2015-09-04 22:04:10 +0530 |
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committer | Thomas Stephen Lee | 2015-09-04 22:04:10 +0530 |
commit | 64419e47f762802600b3a2b6d8c433a16ccd3d55 (patch) | |
tree | 14ad7c37c9547cd516f141494f3fa375621edbaa /Fluid_Mechanics_by_Irfan_A_Khan/Chapter11.ipynb | |
parent | 10f6fb8cd1d840a3042651dfaa6fd5af4924b94a (diff) | |
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diff --git a/Fluid_Mechanics_by_Irfan_A_Khan/Chapter11.ipynb b/Fluid_Mechanics_by_Irfan_A_Khan/Chapter11.ipynb new file mode 100755 index 00000000..3d434d74 --- /dev/null +++ b/Fluid_Mechanics_by_Irfan_A_Khan/Chapter11.ipynb @@ -0,0 +1,333 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##Chapter 11: Compressible Flow" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Example 11.1 Page no 420" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Total change in enthalpy for 10 kg air = 180.0 kcal\n" + ] + } + ], + "source": [ + "# Example 11.1\n", + "\n", + "from math import *\n", + "\n", + "from __future__ import division\n", + "\n", + "# Given\n", + "\n", + "T1 = 273 + 15 # temperature in K\n", + "\n", + "T2 = 273 + 90 # temperature in K\n", + "\n", + "Cp = 0.24 # cp for air in kcal/kgK\n", + "\n", + "# Solution\n", + "\n", + "dh = Cp*(T2-T1) # enthalpy per kg of air\n", + "\n", + "H = 10*dh # total enthallpy of 10 kg air\n", + "\n", + "print \"Total change in enthalpy for 10 kg air = \",round(H,0),\"kcal\"" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Example 11.2 Page no 420" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Total change in enthalpy of 10 Kg of air = -0.255 kcal/K\n" + ] + } + ], + "source": [ + "# Example 11.2\n", + "\n", + "from math import *\n", + "\n", + "from __future__ import division\n", + "\n", + "# Given\n", + "\n", + "T1 = 273 + 15 # temperature in K\n", + "\n", + "T2 = 273 + 90 # temperature in K\n", + "\n", + "P1 = 40 + 101.3 # pressure in abs\n", + "\n", + "P2 = 360 + 101.3 # presure in abs\n", + "\n", + "Cv = 0.171 # Specific volume Coefficient of air\n", + "\n", + "k = 1.4 # gas constant\n", + "\n", + "# solution\n", + "\n", + "dS = Cv*log((T2/T1)**k*(P2/P1)**(1-k))\n", + "\n", + "S = 10*dS\n", + "\n", + "print \"Total change in enthalpy of 10 Kg of air =\",round(S,3),\"kcal/K\"" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Example 11.3 Page no 421" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Final temperature if air = 320.2 F\n", + "Total work done on 10 slugs = 330.0 Btu\n" + ] + } + ], + "source": [ + "# Example 11.3\n", + "\n", + "from math import *\n", + "\n", + "from __future__ import division\n", + "\n", + "\n", + "P1 = 10 # pressure in psia\n", + "\n", + "P2 = 30 # pressure in psia\n", + "\n", + "T1 = 460+110 # temperature in R\n", + "\n", + "k =1.4 # gas constant\n", + "\n", + "T2 = T1*(P2/P1)**((k-1)/k)\n", + "\n", + "t2 = T2-460 # final temperature of air\n", + "\n", + "print \"Final temperature if air = \",round(t2,1),\"F\"\n", + "\n", + "Cv = 0.157 # coefficient of air \n", + "\n", + "W = Cv*(T2-T1) # work done per unit mass of oxygen\n", + "\n", + "Tw = 10*W # total work done on 10 slugs\n", + "\n", + "print \"Total work done on 10 slugs = \",round(Tw,0),\"Btu\" \n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Example 11.4 Page no 426" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Speed of sound in water = 1483.0 m/s\n", + "Speed of sound in ethly alcohol = 1238.0 m/s\n", + "Speed of sound in Air = 343.0 m/s\n" + ] + } + ], + "source": [ + "# Example 11.4\n", + "\n", + "from math import *\n", + "\n", + "from __future__ import division\n", + "\n", + "# Given\n", + "\n", + "# for water\n", + "\n", + "S =1 # specific gravity\n", + "\n", + "rho = S*1000 # density in kg/m**3\n", + "\n", + "bta = 2.2*10**9 # Bulk modulus of elasticity\n", + "\n", + "# ethly alcohol\n", + "\n", + "S1 =0.79 # specific gravity\n", + "\n", + "rho2 = S1*1000 # density in kg/m**3\n", + "\n", + "bta2 = 1.21*10**9 # Bulk modulus of elasticity\n", + "\n", + "# for air\n", + "\n", + "k = 1.4 # gas constant for air\n", + "\n", + "R = 287 # universal gas constant\n", + "\n", + "T = 273+20 # temperature in K\n", + "\n", + "# Solution\n", + "\n", + "C1 = sqrt(bta/rho)\n", + "\n", + "C2 = sqrt(bta2/rho2)\n", + "\n", + "print \"Speed of sound in water =\",round(C1,0),\"m/s\"\n", + "\n", + "print \"Speed of sound in ethly alcohol =\",round(C2,0),\"m/s\"\n", + "\n", + "C3 = sqrt(k*R*T)\n", + "\n", + "print \"Speed of sound in Air =\",round(C3,0),\"m/s\"\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Example 11.5 Page no 431" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0.753305702898\n", + "Pressure at downstream = 3.03 psia\n", + "Temperature at downstream = 157.3 F\n", + "Velocity downstream = 463.02 ft/s\n" + ] + } + ], + "source": [ + "# Example 11.5\n", + "\n", + "from math import *\n", + "\n", + "from __future__ import division\n", + "\n", + "# Given\n", + "\n", + "P1 = 1.5 # pressure in psia\n", + "\n", + "T1 = 40 + 460 # temperature in R\n", + "\n", + "k = 1.4 # gas constant\n", + "\n", + "R = 1716 # universal gas constant in ft.lb/slug R\n", + "\n", + "V1 = 1500 # velocity in ft/s\n", + "\n", + "# Solution\n", + "\n", + "c1 = sqrt(k*R*T1)\n", + "\n", + "M1 = V1/c1\n", + "\n", + "M2 = sqrt((2+(k-1)*M1**2)/(2*k*M1**2-(k-1)))\n", + "print M2\n", + "\n", + "P2 = P1*((1+k*M1**2)/(1+k*M2**2))\n", + "\n", + "print \"Pressure at downstream = \",round(P2,2),\"psia\"\n", + "\n", + "T2 = T1*((1+0.5*(k-1)*M1**2)/(1+0.5*(k-1)*M2**2))\n", + "\n", + "t2 = T2-460\n", + "\n", + "print \"Temperature at downstream = \",round(t2,1),\"F\"\n", + "V2 = M2*sqrt(k*R*t2)\n", + "\n", + "print \"Velocity downstream = \",round(V2,2),\"ft/s\"\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [] + } + ], + "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": "2.7.3" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} |