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-{
- "metadata": {
- "name": "",
- "signature": "sha256:2f6bc3a0f00ca48f89200f1a14edc0c65849595040c83c5100245e53f0cc525b"
- },
- "nbformat": 3,
- "nbformat_minor": 0,
- "worksheets": [
- {
- "cells": [
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Chapter : Compressible Flow"
- ]
- },
- {
- "cell_type": "heading",
- "level": 3,
- "metadata": {},
- "source": [
- "Example 11.1 Page no 420"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "\n",
- "from math import *\n",
- "\n",
- "from __future__ import division\n",
- "\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",
- "\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\""
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Total change in enthalpy for 10 kg air = 180.0 kcal\n"
- ]
- }
- ],
- "prompt_number": 1
- },
- {
- "cell_type": "heading",
- "level": 3,
- "metadata": {},
- "source": [
- "Example 11.2 Page no 420"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "\n",
- "from math import *\n",
- "\n",
- "from __future__ import division\n",
- "\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",
- "\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\""
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Total change in enthalpy of 10 Kg of air = -0.255 kcal/K\n"
- ]
- }
- ],
- "prompt_number": 3
- },
- {
- "cell_type": "heading",
- "level": 3,
- "metadata": {},
- "source": [
- "Example 11.3 Page no 421"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "\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"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Final temperature if air = 320.2 F\n",
- "Total work done on 10 slugs = 330.0 Btu\n"
- ]
- }
- ],
- "prompt_number": 4
- },
- {
- "cell_type": "heading",
- "level": 3,
- "metadata": {},
- "source": [
- "Example 11.4 Page no 426"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "\n",
- "from math import *\n",
- "\n",
- "from __future__ import division\n",
- "\n",
- "\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",
- "\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",
- "\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",
- "\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"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "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"
- ]
- }
- ],
- "prompt_number": 5
- },
- {
- "cell_type": "heading",
- "level": 3,
- "metadata": {},
- "source": [
- "Example 11.5 Page no 431"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "\n",
- "from math import *\n",
- "\n",
- "from __future__ import division\n",
- "\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",
- "\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"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "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"
- ]
- }
- ],
- "prompt_number": 6
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [],
- "language": "python",
- "metadata": {},
- "outputs": []
- }
- ],
- "metadata": {}
- }
- ]
-} \ No newline at end of file