{ "metadata": { "name": "", "signature": "sha256:96c3f40538485cd1b8c0c6bdcb309e3ad3c3f1805b73e1d0b7a57a4798efbd09" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Chapter11-power and refrigeration cycles" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example1-pg 273" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import math\n", "#calculate enthalpy and effieceny and carnot efficency\n", "##initialisation of variables\n", "h1= 251.4 ##kJ/kg\n", "v= 0.001017 ##m^3/kg\n", "p2= 2000. ##Mpa\n", "p1= 20. ##Mpa\n", "h2= 253.4\n", "h3= 3247.6 ##kJ/kg\n", "h4= 2349.3 ##kJ/kg\n", "Tc= 60.06 ##C\n", "Th= 400. ##C\n", "##CALCULATIONS\n", "h2= h1+v*(2-p1)\n", "q12= 0.\n", "w12= h1-h2\n", "q23= h3-h2\n", "w23= 0.\n", "q34= 0.\n", "w34= h3-h4\n", "q41= h1-h4\n", "qnet= q12+q23+q34+q41\n", "wnet= w12+w23+w34\n", "n= wnet/q23\n", "ncarnot= 1-((273.15+Tc)/(273.15+Th))\n", "##RESULTS\n", "print'%s %.1f %s'%('enthalpy=',h2,'kJ/kg')\n", "print'%s %.3f %s'%('efficiency=',n,'')\n", "print'%s %.3f %s'%('carnot efficiency=',ncarnot,'')\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "enthalpy= 251.4 kJ/kg\n", "efficiency= 0.300 \n", "carnot efficiency= 0.505 \n" ] } ], "prompt_number": 2 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example2-pg275" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import math\n", "#calculate work and heat and effiecency and steam mass flow rate\n", "##initialisation of variables\n", "h3= 3247.4 ##kJ/kg\n", "h4= 2439.1 ##kJ/kg\n", "h1= 251.4 ##kJ/kg\n", "h2= 253.9 ##kJ/kg\n", "P= 100000 ##kW\n", "##CALCULATIONS\n", "wnet= h3-h4+h1-h2\n", "qh= h3-h2\n", "qc= h1-h4\n", "n= wnet/qh\n", "m= P/wnet\n", "##RESULTS\n", "print'%s %.f %s'%('work=',wnet,'kJ/kg')\n", "print'%s %.1f %s'% ('heat=',qh,'kJ/kg')\n", "print'%s %.1f %s'%('heat=',qc,'kJ/kg')\n", "print'%s %.4f %s'%('efficiency=',n,'')\n", "print'%s %.2f %s'%('steam mass flow rate=',m,'kg/s')\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "work= 806 kJ/kg\n", "heat= 2993.5 kJ/kg\n", "heat= -2187.7 kJ/kg\n", "efficiency= 0.2692 \n", "steam mass flow rate= 124.10 kg/s\n" ] } ], "prompt_number": 3 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example3-pg 279" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import math\n", "#calculate qualitys and efficiency and mass flow rate and diameter\n", "##initialisation of variables\n", "h11= 2786.2 ##kJ/kg\n", "h12= 340.5 ##kJ/kg\n", "h7= 327.9 ##kJ/kg\n", "h6= 169.0 ##kJ/kg\n", "h10= 756.7 ##kJ/kg\n", "h9= 480.9 ##kJkg\n", "h14= 2818 ##kJ.kg\n", "h15= 762.8 ##kJ/kg\n", "h8= 462.7 ##kJ/kg\n", "h13= 2974.5 ##kJ/kg\n", "h5= 168.8 ##kJ/kg\n", "P= 150. ##kW\n", "v1= 0.02293 ##m^3/kg\n", "v= 40. ##m/s\n", "h1= 3448.6 ##kJ/kg\n", "h3= 3478.5 ##kJ/kg\n", "h2= 2818 ##kJ/kg\n", "h4= 2527.1 ##kJ/kg\n", "##CALCULATIONS\n", "y1= (h10-h9)/(h14-h15)\n", "y2= ((h8-h7)-y1*(h15-h7))/(h13-h7)\n", "y3= (h7-h6)*(1-y1-y2)/(h11-h12)\n", "qin= h1-h10+(1-y1)*(h3-h2)\n", "qout= (h5-h4)*(1-y1-y2)+y3*(h4-h12)\n", "wnet= qin+qout\n", "n= wnet*100/qin\n", "m1= P*1000/wnet\n", "A1= m1*v1/v\n", "D= math.sqrt(4*A1/math.pi)\n", "##RESULTS\n", "print'%s %.4f %s'%(' quality=',y1,'')\n", "print'%s %.4f %s'%('quality=',y2,'')\n", "print'%s %.4f %s'%('quality=',y3,'')\n", "print'%s %.2f %s'%('efficiency=',n,'percent')\n", "print'%s %.2f %s'%('mass flow rate=',m1,'kg/s')\n", "print'%s %.3f %s'%(' diameter=',D,'m')\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ " quality= 0.1342 \n", "quality= 0.0289 \n", "quality= 0.0544 \n", "efficiency= 43.17 percent\n", "mass flow rate= 106.46 kg/s\n", " diameter= 0.279 m\n" ] } ], "prompt_number": 4 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example4-pg 284" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import math\n", "#calculate effieciency and power and temperature at the exist\n", "##initialisation of variables\n", "T= 300. ##K\n", "P= 100. ##kPa\n", "r= 4.\n", "T1= 1200. ##K\n", "m= 5. ##kg/s\n", "k= 1.4\n", "R= 8.314 ##jmol K\n", "M= 29. ##gms\n", "##CALCULATIONS\n", "T2= T*math.pow(r,(k-1)/k)\n", "T4= T1/math.pow(r,(k-1)/k)\n", "n= 1-(T/T2)\n", "wnet= (k*R/((k-1)*M))*(T1-T4+T-T2)\n", "P= m*wnet\n", "e= math.sqrt((T2-T)/(T1-T4))\n", "T5= T+((T2-T)/e)\n", "T6= T1+e*(T4-T1)\n", "##RESULTS\n", "print'%s %.4f %s'%('efficiency=',n,'')\n", "print'%s %.f %s'%('power=',P,'kW')\n", "print'%s %.4f %s'%('efficiency=',e,'')\n", "print'%s %.1f %s'%('temperature at the exit=',T6,'K')\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "efficiency= 0.3270 \n", "power= 1238 kW\n", "efficiency= 0.6095 \n", "temperature at the exit= 960.8 K\n" ] } ], "prompt_number": 5 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example5-pg286" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import math\n", "##initialisation of variables\n", "v= 810. ##km/h\n", "v1= 40. ##m/sec\n", "cp= 1003. ##J/k mol\n", "T0= 300. ##K\n", "ec= 0.88\n", "k= 1.4\n", "T3= 1473.15 ##K\n", "p3= 600. ##kPa\n", "p0= 26.4 ##kPa\n", "e= 0.9\n", "m= 90. ##kg\n", "cp1= 1.003 ##J/mol K\n", "##CALCULATIONS\n", "v0= v*1000/3600.\n", "T1= T0+((v0**2-v1**2)/(2*cp))\n", "T1s= T0+ec*(T0-T1)\n", "p1= 36.79 #kPa\n", "p2= 600 #kPa\n", "T2s= T1*(p2/p1)**((k-1)/k)\n", "T2= T1+((T2s-T1)/ec)\n", "T21= T1+(T2s-T1)/ec\n", "T4= T3+T0-T21\n", "T4s= T3+(T4-T3)/ec\n", "p4= p3*(T4s/T3)\n", "T5s= p4+(p0-p4)*e\n", "W34= m*cp1*(T3-T4)\n", "v5= math.sqrt(v1**2+2*cp*(T4-T5s))\n", "F= m*(v5-v0)\n", "##RESULTS\n", "print'%s %.2f %s'% ('T5=',T4s,'K ')\n", "print'%s %.f %s'% ('Work=',W34,'kW ')\n", "print'%s %.1f %s'% ('nozzle velocity=',v5,'m/s')\n", "print'%s %.f %s'% ('thrust force=',F,'N')\n", "\n", "##ANSWERS GIVEN IN THE TEXTBOOK ARE WRONG\n", "\n", "##RESULTS\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "T5= 934.14 K \n", "Work= 42818 kW \n", "nozzle velocity= 1371.6 m/s\n", "thrust force= 103193 N\n" ] } ], "prompt_number": 1 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Ex6-289" ] }, { "cell_type": "code", "collapsed": false, "input": [ "##initialisation of variables\n", "T1= 300. ##K\n", "p2= 400. ##kPa\n", "p1= 100. ##kPa\n", "p4= 100. ##kPa\n", "p3= 400. ##kPa\n", "T3= 1200. ##K\n", "e= 0.85\n", "ee= 0.9\n", "m= 8 ##kg\n", "cp= 1.0035\n", "k= 1.4\n", "##CALCULATIONS\n", "T2s= T1*(p2/p1)**((k-1.)/k)\n", "T4s= T3*(p4/p3)**((k-1.)/k)\n", "T2= T1+((T2s-T1)/e)\n", "T4= T3+ee*(T4s-T3)\n", "P= m*cp*(T3-T4-T2+T1)\n", "n= (T3-T4+T1-T2)/(T3-T4)\n", "n1= (T3-T4+T1-T2)/(T3-T2)\n", "##RESULTS\n", "print'%s %.2f %s'% (' T4= ',T4,' K ')\n", "print'%s %.2f %s'% (' T2= ',T2,' K ')\n", "print'%s %.2f %s'% (' T4= ',P,' kW ')\n", "print'%s %.2f %s'% (' net efficiency= ',n,' ')\n", "print'%s %.2f %s'% (' net efficiency=',n1,' ')\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ " T4= 846.79 K \n", " T2= 471.53 K \n", " T4= 1458.58 kW \n", " net efficiency= 0.51 \n", " net efficiency= 0.25 \n" ] } ], "prompt_number": 2 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example7-pg297" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import math\n", "#calculate COP and power and COP at given enthalpy\n", "##initialisation of variables\n", "h1= 182.07 ##kJ/kg\n", "h4= 76.26 ##kJ/kg\n", "h2= 217.97 ##kJ/kg\n", "Q= math.pow(10,6) ##kJ/h\n", "Tc= -5 ##C\n", "Th= 32 ##C\n", "##CALCULATIONS\n", "COP= (h1-h4)/(h2-h1)\n", "W= Q/(COP*3600)\n", "COPcarnot= (273.15+Tc)/(Th-Tc)\n", "##RESULTS\n", "print'%s %.3f %s'% ('COP= ',COP,'')\n", "print'%s %.3f %s'% ('power=',W,'KW')\n", "print'%s %.3f %s'% ('COP=',COPcarnot,'')\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "COP= 2.947 \n", "power= 94.247 KW\n", "COP= 7.247 \n" ] } ], "prompt_number": 2 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Ex8-pg298" ] }, { "cell_type": "code", "collapsed": false, "input": [ "##initialisation of variables\n", "h1= 238.431 ##kJ/kg\n", "h4= 109.777 ##kJ/kg\n", "Qc= 6 ##kW\n", "h2= 295.835 ##kJ/kg\n", "n= 0.88\n", "Tin= 33 ##C\n", "Tout= 20 ##C\n", "cp= 4.186 ##J/mol K\n", "##CALCULATIONS\n", "qc= h1-h4\n", "m= Qc/qc\n", "w= h2-h1\n", "W= m*w/n\n", "COP= Qc/W\n", "qh= h2-h4\n", "mcw= m*qh/(cp*(Tin-Tout))\n", "##RESULTS\n", "print'%s %.2f %s'% (' compressor power= ',W,' kW ')\n", "print'%s %.2f %s'% (' COP= ',COP,' ')\n", "print'%s %.2f %s'% (' cooling water flow= ',mcw,'kg/s ')" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ " compressor power= 3.04 kW \n", " COP= 1.97 \n", " cooling water flow= 0.16 kg/s \n" ] } ], "prompt_number": 3 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example9-pg301" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import math\n", "#calculate COPs and WORK at given variable\n", "##initialisation of variables\n", "h1= 183.12 ##kJ/kg\n", "h4= 75.588 ##kJ/kg\n", "h2= 218.697 ##kJ/kg\n", "nm=0.94\n", "Qc= 6 ##kW\n", "h4a= 45.343 ##kJ/kg\n", "h2a= 257.283 ##kJ/kg\n", "h1a= 213.427 ##kJ/kg \n", "##CALCULATIONS\n", "COP= (h1-h4)*nm/(h2-h1)\n", "W= Qc/COP\n", "COP1= (h1-h4a)*nm/(h2a-h1a)\n", "W1= Qc/COP1\n", "##RESULTS\n", "print'%s %.3f %s'% ('COP=',COP,'')\n", "print'%s %.3f %s'% ('COP=',COP1,'')\n", "print'%s %.3f %s'% ('Work=',W,'kW')\n", "print'%s %.3f %s'% ('Work=',W1,'kW')\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "COP= 2.841 \n", "COP= 2.953 \n", "Work= 2.112 kW\n", "Work= 2.032 kW\n" ] } ], "prompt_number": 4 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Ex10-pg302" ] }, { "cell_type": "code", "collapsed": false, "input": [ "##initialisation of variables\n", "h1= 238.431 ##kJ/kg\n", "h4a= 73.881 ##kJ/kg\n", "Qc= 6 ##kW\n", "h2a= 343.787 ##kJ/kg\n", "n= 0.88\n", "Tin= 33 ##C\n", "Tout= 20 ##C\n", "cp= 4.186 ##J/mol K\n", "h1a= 274.327 ##kJ/kg\n", "h3= 109.777 ##kJ/kg\n", "##CALCULATIONS\n", "qc= h1-h4a\n", "m= Qc/qc\n", "w= h2a-h1a\n", "W= m*w/n\n", "COP= Qc/W\n", "qh= h2a-h3\n", "mcw= m*qh/(cp*(Tin-Tout))\n", "##RESULTS\n", "print'%s %.2f %s'% (' compressor power= ',W,' kW ')\n", "print'%s %.2f %s'% (' COP= ',COP,'')\n", "print'%s %.2f %s'% (' cooling water flow= ',mcw,' kg/s ')\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ " compressor power= 2.88 kW \n", " COP= 2.08 \n", " cooling water flow= 0.16 kg/s \n" ] } ], "prompt_number": 4 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example11-pg304" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#calculate COP and W\n", "##initialisation of variables\n", "h1= 1404.6 ##kJ/kg\n", "h2s= 1748.9 ##kJ/kg\n", "ec= 0.8\n", "h4= 322.9 ##kJ/kg\n", "h2= 1835 ##kJ/kg\n", "Q= 100 ##kW\n", "h21= 1649.2 ##kJ/kg\n", "h22= 1515 ##kJ/kg\n", "h23= 1678.8 ##kJ/kg\n", "##CALCULATIONS\n", "h2= h1+((h2s-h1)/ec)\n", "COP= (h1-h4)/(h2-h1)\n", "W= Q/COP\n", "COP1= (h1-h4)/(h21-h1+h23-h22)\n", "W1= Q/COP1\n", "##RESULTS\n", "print'%s %.3f %s'% (' COP=',COP,'')\n", "print'%s %.3f %s'% ('COP=',COP1,'')\n", "print'%s %.1f %s'% ('W= ',W,'kW')\n", "print'%s %.1f %s'% ('W=',W1,'kW')\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ " COP= 2.513 \n", "COP= 2.649 \n", "W= 39.8 kW\n", "W= 37.8 kW\n" ] } ], "prompt_number": 6 } ], "metadata": {} } ] }