{ "metadata": { "name": "", "signature": "sha256:daee8dea306dcf3f243bce271ea4da56ca30a788427b14afefd3a09c75dc55c1" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "CHAPTER07:COMPRESSIBLE FLOW SOME PRELIMINARY ASPECTS" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example E01 : Pg 222" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# All the quantities are expressed in SI units\n", "import math \n", "l = 5.; # dimensions of the room\n", "b = 7.;\n", "h = 3.3;\n", "V = l*b*h; # volume of the room\n", "p = 101000.; # ambient pressure\n", "T = 273. + 25.; # ambient temperature\n", "R = 287.; # gas constant\n", "gam = 1.4; # ratio of specific heats\n", "cv = R/(gam-1.);\n", "cp = gam*R/(gam-1.);\n", "\n", "# the density can by calculaled by the ideal gas law\n", "rho = p/R/T;\n", "\n", "# thus the mass is given by\n", "M = rho*V;\n", "\n", "# from eq.(7.6a), the internal energy per unit mass is\n", "e = cv*T;\n", "\n", "# thus internal energy in the room is\n", "E = e*M;\n", "\n", "# from eq.(7.6b), the enthalpy per unit mass is given by\n", "h = cp*T;\n", "\n", "# Thus the enthalpy in the room is\n", "H = M*h;\n", "\n", "print\"The internal energy in the room is: E =\", E/10**7\n", "print\"The Enthalpy in the room is: H = \",H/10**7" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "The internal energy in the room is: E = 2.916375\n", "The Enthalpy in the room is: H = 4.082925\n" ] } ], "prompt_number": 1 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example E02 : Pg 223" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# All the quantities are expressed in SI units\n", "\n", "p_inf = 22790.9; # ambient pressure at 36000 ft\n", "T_inf = 217.2; # ambient temperature at 36000 ft\n", "p = 19152; # pressure at the given point\n", "gam = 1.4;\n", "\n", "# thus the temperature at the given point can be calculated by eq.(7.32) as\n", "T = T_inf*((p/p_inf)**((gam-1)/gam));\n", "\n", "print\"The temperature at the given point is: T =\",T,\"K\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "The temperature at the given point is: T = 206.668775312 K\n" ] } ], "prompt_number": 2 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example E03 : Pg 223" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# All the quantities are expressed in SI units\n", "\n", "p =101000; # static pressure\n", "T = 320; # static temperature\n", "v = 1000; # velocity\n", "gam = 1.4; # ratio of specific heats\n", "R = 287; # universal gas constant\n", "cp = gam*R/(gam-1); # specific heat at constant pressure\n", "\n", "# from eq.(7.54), the total temperature is given by\n", "T0 = T + (v**2)/2/cp;\n", "\n", "# from eq.(7.32),the total pressure is given by\n", "p0 = p*((T0/T)**(gam/(gam-1)));\n", "\n", "p0_atm = p0/101000;\n", "\n", "\n", "print\"The total temperature and pressure are given by: T0 =\",T0,\"K\"\n", "print\"P0 =\",p0_atm,\"atm\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "The total temperature and pressure are given by: T0 = 817.760079642 K\n", "P0 = 26.678766535 atm\n" ] } ], "prompt_number": 3 } ], "metadata": {} } ] }