{ "metadata": { "celltoolbar": "Slideshow", "name": "", "signature": "sha256:f515b7581a0e07f3a8971aac8640b48787939a035956cf13b7af66ef2cd81710" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "Toy Turbojet by Sukhbinder Singh" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Simple python function utilizing dictonary to calculate thermal cycle analysis of a turbojet engine. Simple but accurate turbojet thermodynamic model. visit www.sukhbindersingh.com for more info." ] }, { "cell_type": "code", "collapsed": true, "input": [ "# Lets define all imports and matplotlib figure defaults\n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from __future__ import division\n", "import math\n", "import matplotlib\n", "%matplotlib inline\n", "\n", "matplotlib.rc('figure', figsize=(14, 7))\n", "matplotlib.rc('font', weight='bold', size=12)" ], "language": "python", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [], "prompt_number": 61 }, { "cell_type": "code", "collapsed": true, "input": [ "# Thermal cyclic analysis of turbojet engine\n", "# define constants\n", "prgcon={\"llp\":10,\"llt\":4,\"cp\":1005,\"r\":287,\"g\":9.81,\"tlr\":6.5,\n", " \"cfuel\":45868.0,\"prc\":2.0,\"tet\":800,\"pa\":1.1013,\"ta\":291.15,\n", " \"masc\":0.1289,\"effc\":0.95,\"effcom\":0.99,\"plcom\":0.05,\n", " \"bleed\":0.01,\"efmech\":0.98,\"effct\":0.84,\"effn\":0.95,\"powreq\":1.0\n", " }\n" ], "language": "python", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [], "prompt_number": 62 }, { "cell_type": "code", "collapsed": true, "input": [ "def toyturbojet(prgcon):\n", " result={\"temps\":[],\"prs\":[],\"thrust\":0.0,\"spthrust\":0.0,\"sfc\":0.0}\n", " prc=prgcon[\"prc\"]\n", " t03=prgcon[\"tet\"]\n", " gam=(prgcon[\"cp\"]/prgcon[\"r\"])/(prgcon[\"cp\"]/prgcon[\"r\"]-1)\n", " gamx=prgcon[\"cp\"]/prgcon[\"r\"]\n", " gamy=(gam-1.0)/2.0\n", "\n", " macfl=0.0\n", " r1=1.0\n", " pa=prgcon[\"pa\"]\n", " ta=prgcon[\"ta\"]\n", "\n", " p01=pa*r1*((1.0+gamy*macfl**2)**gamx)\n", " t01=ta*(1.0+gamy*macfl**2)\n", " den1=(p01*10000.0*prgcon[\"g\"])/(prgcon[\"r\"]*t01)\n", "\n", "#print p01,t01,den1\n", " trais=prc**(1.0/gamx)\n", " tdrpis=t01*(trais-1.0)\n", " tdrp=tdrpis/prgcon[\"effc\"]\n", " powerc=prgcon[\"masc\"]*prgcon[\"cp\"]*tdrp/1000.0\n", " p02=p01*prc\n", " t02=t01+tdrp\n", "\n", " mascom=prgcon[\"masc\"]-prgcon[\"bleed\"]*prgcon[\"masc\"]\n", " tracom=t03-t02\n", "\n", " fara1=1.0\n", " if(tracom > 000 and tracom < 400):\n", " fara1=0.99 *((t03-t02-10)*(1.+t02/3250.))/(prgcon[\"cfuel\"]*prgcon[\"effcom\"])\n", " elif(tracom > 400 and tracom < 9000):\n", " fara1=1.10*((t03-t02-50.)*(1.+t02/3250.))/(prgcon[\"cfuel\"]*prgcon[\"effcom\"])\n", "\n", " \n", " masfuel=fara1*mascom\n", " p03=p02*(1.0-prgcon[\"plcom\"])\n", "\n", " powert=powerc/prgcon[\"efmech\"]\n", " masct=mascom+masfuel\n", " cp34=950.0+0.21*t03\n", " tdrpct=powert/(masct*cp34/1000.0)\n", " gamxc=cp34/prgcon[\"r\"]\n", " tdctis=tdrpct/prgcon[\"effct\"]\n", " t04is=t03-tdctis\n", " pract=(t03/t04is)**gamxc\n", " p04=p03/pract\n", " t04=t03-tdrpct\n", "\n", "#print p01,p02,p03,p04,t01,t02,t03,t04\n", "\n", " rthst=prgcon[\"powreq\"]\n", " p05i=p04\n", " t05=t04\n", " cp45=950.0+0.21*t04\n", " gamxp=cp45/prgcon[\"r\"]\n", " gamn=gamxp/(gamxp-1.0)\n", " popan=p05i/pa\n", " if p05i < 1.1*pa:\n", " result[\"temps\"]=([t01,t02,t03,t04,t05])\n", " result[\"prs\"]=([p01,p02,p03,p04,0.0])\n", " result[\"thrust\"]=0.0\n", " result[\"sfc\"]=0.0\n", " result[\"spthrust\"]=0.0\n", " return result\n", " emach=math.sqrt(2*(popan**(1/gamxp)-1)/(gamn-1))\n", " t5i=t05/(1+0.5*(gamn-1)*emach*emach)\n", " t5=t05-prgcon[\"effn\"]*(t05-t5i)\n", " vjet=math.sqrt(2*cp45*(t05-t5))\n", " p05=pa*((t05/t5)**(gamn/(gamn-1)))\n", " massj=masct+prgcon[\"bleed\"]+prgcon[\"masc\"]\n", " thst=massj*vjet/prgcon[\"g\"]\n", " ssp=thst/prgcon[\"masc\"]\n", " sfc=masfuel/thst*3600.\n", "\n", " result[\"temps\"]=([t01,t02,t03,t04,t05])\n", " result[\"prs\"]=([p01,p02,p03,p04,p05])\n", " result[\"thrust\"]=thst\n", " result[\"sfc\"]=sfc\n", " result[\"spthrust\"]=ssp\n", "\n", " return result\n", "\n", "#print p01,p02,p03,p04,p05,t01,t02,t03,t04,t05,thst,ssp,sfc\n" ], "language": "python", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [], "prompt_number": 63 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Run and display Pressures and Temperature at each stage." ] }, { "cell_type": "code", "collapsed": true, "input": [ "res=toyturbojet(prgcon)\n", "print res\n", "plt.plot(res[\"prs\"])\n", "plt.xticks([0,1,2,3,4])\n", "plt.title(\"Pressure at each stage \")\n", "plt.ylabel(\"Pressure (bar)\")\n", "\n", "\n" ], "language": "python", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "{'temps': [291.15, 358.2351135385468, 800, 738.4911985475384, 738.4911985475384], 'thrust': 8.814671292959224, 'spthrust': 68.38379591124301, 'sfc': 0.5491223915272165, 'prs': [1.1013, 2.2026, 2.0924699999999996, 1.439652255801095, 1.4198539164535902]}\n" ] }, { "metadata": {}, "output_type": "pyout", "prompt_number": 64, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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Pkr0x9p133snvuAAAFBrbt29XhQoVXPukDhw4oDp16ujQoUO69957NWnSJIcTAoD7ueVK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\nIkmSJCkRnG53Gn//O8yYAdu2xc5GkiRJkpSaPCd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"text": [ "" ] } ], "prompt_number": 64 }, { "cell_type": "code", "collapsed": true, "input": [ "plt.plot(res[\"temps\"])\n", "plt.xticks([0,1,2,3,4])\n", "plt.title(\"Temperature at each stage \")\n", "plt.ylabel(\"Teperature (K)\")\n" ], "language": "python", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 65, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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dffYZjB4N770H8W5cIUmqJObMmcOcOXOO6rXl+p+75cuXM3v2bGrVqsWIESNi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\nsJNIkiSVPkeaJB2T9euhWzd4803o2jX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"text": [ "" ] } ], "prompt_number": 65 }, { "cell_type": "code", "collapsed": true, "input": [ "pr1 = np.linspace(2.0,24.0,20)\n", "tet1=np.linspace(800.0,1400.0,6)\n", "pr= np.zeros((pr1.shape[0],tet1.shape[0]))\n", "\n", "\n", "#print pr.shape[0]\n", "sp=np.zeros((pr.shape[0],tet1.shape[0]))\n", "sfc=np.zeros((pr.shape[0],tet1.shape[0]))\n", "thr=np.zeros((pr.shape[0],tet1.shape[0]))\n", "\n", "\n", "for j, tet in enumerate(tet1): \n", " prgcon[\"tet\"]=tet\n", " pr[:,j]=pr1\n", " for i,pp in enumerate(pr1):\n", " prgcon[\"prc\"]=pp\n", " res =toyturbojet(prgcon)\n", " #print i,pp\n", " sp[i,j]=res[\"spthrust\"]\n", " sfc[i,j]=res[\"sfc\"]\n", " thr[i,j]=res[\"thrust\"]\n", "\n", "plt.subplot(3,1,1)\n", "plt.plot(pr,sfc)\n", "plt.title(\"sfc vs pr \")\n", "plt.ylabel(\"sfc\")\n", "plt.xlabel(\"pr\")\n", "\n", "plt.legend=\"best\"\n", "plt.subplot(3,1,2)\n", "plt.plot(pr,sp)\n", "plt.title(\"Sp. Thrust vs pr \")\n", "plt.ylabel(\"Sp. Thrust\")\n", "plt.xlabel(\"pr\")\n", "\n", "plt.subplot(3,1,3)\n", "plt.legend=\"best\"\n", "plt.plot(pr,thr)\n", "plt.title(\"Thrust vs pr \")\n", "plt.ylabel(\"Thrust\")\n", "plt.xlabel(\"pr\")\n", "\n" ], "language": "python", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 66, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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6zt18EW86pmnyUSDAhqYm1kdmqfa0tTHT44nd9ndhdjajnN2f6dFbdZrfa44t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uGUvvjiCyQlJflCz1CcOnUK06ZNw5IlS5Cfn499+/bh008/RU5ODo4ePYrPP/8cF154ISwWC66+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\nNdYHkRio+vrgsNTd3RuW5s1TpokTGZaob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