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| author | hardythe1 | 2015-04-07 15:58:05 +0530 |
|---|---|---|
| committer | hardythe1 | 2015-04-07 15:58:05 +0530 |
| commit | c7fe425ef3c5e8804f2f5de3d8fffedf5e2f1131 (patch) | |
| tree | 725a7d43dc1687edf95bc36d39bebc3000f1de8f /Thermodynamics_for_Engineers/Chapter_19_2.ipynb | |
| parent | 62aa228e2519ac7b7f1aef53001f2f2e988a6eb1 (diff) | |
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diff --git a/Thermodynamics_for_Engineers/Chapter_19_2.ipynb b/Thermodynamics_for_Engineers/Chapter_19_2.ipynb new file mode 100755 index 00000000..c26dff35 --- /dev/null +++ b/Thermodynamics_for_Engineers/Chapter_19_2.ipynb @@ -0,0 +1,625 @@ +{
+ "metadata": {
+ "name": "",
+ "signature": "sha256:b29f8e2efad125f0a07d8b8d8802c0ef47be5bcad75aba5a349e2e6b7da74bda"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "Chapter 19 - Gas Turbines"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 1 - Pg 398"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#calculate the compressor work, turbine work and thermal efficiency in all cases\n",
+ "#Initalization of variables\n",
+ "import math\n",
+ "n=1.4\n",
+ "t1=540. #R\n",
+ "tmax=1200. #F\n",
+ "tmax2=1500. #F\n",
+ "pr=5.\n",
+ "cp=0.24\n",
+ "#calculations\n",
+ "t2=t1*math.pow(pr,(n-1)/n)\n",
+ "work=cp*(t2-t1)\n",
+ "t4=(tmax+460) /math.pow(pr,(n-1)/n)\n",
+ "twork=cp*(tmax+460-t4)\n",
+ "net=twork-work\n",
+ "eff=(1- 1/math.pow(pr,(n-1)/n))*100\n",
+ "Qs=cp*(tmax+460-t2)\n",
+ "ett=net/Qs *100\n",
+ "t42=(tmax2+460)/math.pow(pr,(n-1)/n)\n",
+ "twork2=cp*(tmax2+460-t42)\n",
+ "net2=twork2-work\n",
+ "Qs2=cp*(tmax2+460-t2)\n",
+ "eff3=net2/Qs2 *100\n",
+ "#results\n",
+ "print '%s %.1f %s' %(\"Compressor work =\",work,\"Btu/lb\")\n",
+ "print '%s %.1f %s' %(\"\\n Turbine work =\",twork,\"Btu/lb\")\n",
+ "print '%s %.1f %s' %(\"\\n Net work =\",net,\"Btu/lb\")\n",
+ "print '%s %.1f %s' %(\"\\n Thermal efficiency =\",eff,\"percent\")\n",
+ "print '%s %.1f %s' %(\"\\n In case 2, Thermal efficiency =\",ett,\" percent\")\n",
+ "print '%s %.1f %s' %(\"\\n In case 2, Turbine work =\",twork2,\"Btu/lb\")\n",
+ "print '%s %.1f %s' %(\"\\n In case 2, Net work =\",net2,\" Btu/lb\")\n",
+ "print '%s %.1f %s' %(\"\\n In case 3, Thermal efficiency =\",eff3,\" percent,\")\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Compressor work = 75.7 Btu/lb\n",
+ "\n",
+ " Turbine work = 146.9 Btu/lb\n",
+ "\n",
+ " Net work = 71.2 Btu/lb\n",
+ "\n",
+ " Thermal efficiency = 36.9 percent\n",
+ "\n",
+ " In case 2, Thermal efficiency = 36.9 percent\n",
+ "\n",
+ " In case 2, Turbine work = 173.4 Btu/lb\n",
+ "\n",
+ " In case 2, Net work = 97.7 Btu/lb\n",
+ "\n",
+ " In case 3, Thermal efficiency = 36.9 percent,\n"
+ ]
+ }
+ ],
+ "prompt_number": 1
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 2 - Pg 400"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#calculate the indicated compressor work, internal work and thermal efficiency\n",
+ "#Initalization of variables\n",
+ "work=75.9 #Btu/lb\n",
+ "twork=173.5 #Btu/lb\n",
+ "eta=0.8\n",
+ "t2=856 #R\n",
+ "t1=540 #R\n",
+ "t4=1960 #R\n",
+ "cp=0.24\n",
+ "#calculations\n",
+ "cwork=work/eta\n",
+ "internal=twork*eta\n",
+ "net=-cwork+internal\n",
+ "t2d=(t2-t1)/eta + t1\n",
+ "Qs=cp*(t4-t2d)\n",
+ "eff=net/Qs *100\n",
+ "#results\n",
+ "print '%s %.1f %s' %(\"Indicated compressor work =\",cwork,\" Btu/lb\")\n",
+ "print '%s %.1f %s' %(\"\\n Internal work =\",internal,\"Btu/lb\")\n",
+ "print '%s %.1f %s' %(\"\\n Net work =\",net,\" Btu/lb\")\n",
+ "print '%s %.2f %s' %(\"\\n Thermal efficiency =\",eff,\"percent\")\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Indicated compressor work = 94.9 Btu/lb\n",
+ "\n",
+ " Internal work = 138.8 Btu/lb\n",
+ "\n",
+ " Net work = 43.9 Btu/lb\n",
+ "\n",
+ " Thermal efficiency = 17.86 percent\n"
+ ]
+ }
+ ],
+ "prompt_number": 2
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 3 - Pg 402"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#calculate the compressor work, turbine work and thermal efficiency\n",
+ "#Initalization of variables\n",
+ "eff=0.97\n",
+ "c1=94.9 #Btu/lb\n",
+ "c2=138.8 #Btu/lb\n",
+ "ntee=246. #Btu/lb\n",
+ "#calculations\n",
+ "cwork=c1/eff\n",
+ "twork=c2*eff\n",
+ "net=twork-cwork\n",
+ "etat=net/ntee *100\n",
+ "#results\n",
+ "print '%s %.1f %s' %(\"Compressor work =\",cwork,\"Btu/lb\")\n",
+ "print '%s %.1f %s' %(\"\\n Turbine work =\",twork,\" Btu/lb\")\n",
+ "print '%s %.1f %s' %(\"\\n Net work =\",net,\" Btu/lb\")\n",
+ "print '%s %.1f %s' %(\"\\n Thermal efficiency =\",etat,\"percent\")\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Compressor work = 97.8 Btu/lb\n",
+ "\n",
+ " Turbine work = 134.6 Btu/lb\n",
+ "\n",
+ " Net work = 36.8 Btu/lb\n",
+ "\n",
+ " Thermal efficiency = 15.0 percent\n"
+ ]
+ }
+ ],
+ "prompt_number": 3
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 4 - Pg 403"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#calculate the thermal efficiency\n",
+ "#Initalization of variables\n",
+ "import math\n",
+ "pr=5.\n",
+ "p1=14. #psia\n",
+ "pd=3. #psi\n",
+ "pen=70. #psia\n",
+ "tin=1960. #R\n",
+ "n=1.4\n",
+ "cp=0.24\n",
+ "Qs=265. #Btu/lb\n",
+ "#calculations\n",
+ "p2=p1*pr\n",
+ "pe=pen-pd\n",
+ "prt=pe/p1\n",
+ "tex=tin/math.pow(prt,(n-1)/n)\n",
+ "twork=cp*(tin-tex)\n",
+ "net=twork-75.9\n",
+ "eff=net/Qs *100.\n",
+ "#results\n",
+ "print '%s %.1f %s' %(\"Thermal efficiency =\",eff,\"percent\")\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Thermal efficiency = 35.4 percent\n"
+ ]
+ }
+ ],
+ "prompt_number": 4
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 5 - Pg 403"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#calculate the thermal efficiency\n",
+ "#Initalization of variables\n",
+ "import math\n",
+ "pr=5.\n",
+ "p1=14. #psia\n",
+ "pd=3. #psi\n",
+ "pen=70. #psia\n",
+ "tin=1960. #R\n",
+ "n=1.4\n",
+ "cp=0.24\n",
+ "Qs=265.\n",
+ "ef=0.95\n",
+ "#calculations\n",
+ "p2=p1*pr\n",
+ "pe=pen-pd\n",
+ "prt=pe/p1\n",
+ "tex=tin/math.pow(prt,(n-1)/n)\n",
+ "twork=cp*(tin-tex)\n",
+ "net=twork-75.9\n",
+ "Qs2=Qs/ef\n",
+ "eff=net/Qs2 *100.\n",
+ "#results\n",
+ "print '%s %.1f %s' %(\"Thermal efficiency =\",eff,\"percent\")"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Thermal efficiency = 33.6 percent\n"
+ ]
+ }
+ ],
+ "prompt_number": 5
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6 - Pg 404"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#calculate the final pressure\n",
+ "#Initalization of variables\n",
+ "pr1=1.0590\n",
+ "pr2=4.396\n",
+ "p1=14. #psia\n",
+ "#calculations\n",
+ "prr=pr2/pr1\n",
+ "p2=p1*prr\n",
+ "#results\n",
+ "print '%s %.1f %s' %(\"Final pressure =\",p2,\" psia\")\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Final pressure = 58.1 psia\n"
+ ]
+ }
+ ],
+ "prompt_number": 6
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 7 - Pg 404"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#calculate the compressor work\n",
+ "#Initalization of variables\n",
+ "t1=540. #R\n",
+ "h1=129.06\n",
+ "pr1=1.386\n",
+ "cr=5.\n",
+ "#calculations\n",
+ "pr2=pr1*cr\n",
+ "print '%s' %(\"From air tables,\")\n",
+ "h2=204.63\n",
+ "cwork=h2-h1\n",
+ "#results\n",
+ "print '%s %.2f %s' %(\"Compressor work =\",cwork,\"Btu/lb\")\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "From air tables,\n",
+ "Compressor work = 75.57 Btu/lb\n"
+ ]
+ }
+ ],
+ "prompt_number": 7
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 8 - Pg 405"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#calculate the turbine work\n",
+ "#Initalization of variables\n",
+ "cr=5.\n",
+ "pr3=176.73 #psia\n",
+ "h3=14580.3 #Btu/mol\n",
+ "M=28.9\n",
+ "#calculations\n",
+ "pr4=pr3/cr\n",
+ "h4=9409.\n",
+ "twork=h3-h4\n",
+ "turb=twork/M\n",
+ "#results\n",
+ "print '%s %.1f %s' %(\"Turbine work =\",turb,\" Btu/lb\")\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Turbine work = 178.9 Btu/lb\n"
+ ]
+ }
+ ],
+ "prompt_number": 8
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 9 - Pg 407"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#calculate the air fuel ratio\n",
+ "#Initalization of variables\n",
+ "chem=19000. #Btu/lb\n",
+ "m1=204.63 #Btu/lb\n",
+ "M=28.9\n",
+ "w=14580.3\n",
+ "#calculations\n",
+ "ma=(chem-w/M)/(w/M -m1)\n",
+ "#results\n",
+ "print '%s %.1f %s' %(\"Air fuel ratio =\",ma,\"lb air/lb fuel\")\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Air fuel ratio = 61.7 lb air/lb fuel\n"
+ ]
+ }
+ ],
+ "prompt_number": 9
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 10 - Pg 409"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#calculate the thermal efficiency of the unit\n",
+ "#Initalization of variables\n",
+ "cp=0.24\n",
+ "h=138.8\n",
+ "t3=1960. #R\n",
+ "#calculations\n",
+ "t4d=t3-h/cp\n",
+ "Qs=cp*(t3-t4d)\n",
+ "work=43.9 #Btu/lb\n",
+ "etat=work/Qs *100.\n",
+ "#results\n",
+ "print '%s %.1f %s' %(\"Thermal efficiency of the unit =\",etat,\"percent\")\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Thermal efficiency of the unit = 31.6 percent\n"
+ ]
+ }
+ ],
+ "prompt_number": 10
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 11 - Pg 412"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#calculate the thermal efficiency\n",
+ "#Initalization of variables\n",
+ "import math\n",
+ "n=1.4\n",
+ "t1=540. #R\n",
+ "tmax=1500. #F\n",
+ "pr=5.\n",
+ "cp=0.24\n",
+ "p1=14. #psia\n",
+ "p3=70. #psia\n",
+ "#calculations\n",
+ "pint=p1*math.sqrt(pr)\n",
+ "t2=t1*math.pow(pint/p1,((n-1)/n))\n",
+ "t4=t1*math.pow(p3/pint,((n-1)/n))\n",
+ "w=cp*(t4-t1)\n",
+ "w2=2*w\n",
+ "t6=(tmax+460)/math.pow(p3/pint,((n-1)/n))\n",
+ "t8=(tmax+460)/math.pow(pint/p1,((n-1)/n))\n",
+ "work=cp*(tmax+460-t6)\n",
+ "w22=2*work\n",
+ "net=w22-w2\n",
+ "Qa=cp*(tmax+460-t2)\n",
+ "Qb=cp*(tmax+460-t6)\n",
+ "Qt=Qa+Qb\n",
+ "eta=net/Qt*100.\n",
+ "#results\n",
+ "print '%s %.2f %s' %(\"Thermal efficiency =\",eta,\"percent\")\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Thermal efficiency = 31.25 percent\n"
+ ]
+ }
+ ],
+ "prompt_number": 11
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 12 - Pg 413"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#calculate the thermal efficiency\n",
+ "#Initalization of variables\n",
+ "import math\n",
+ "n=1.4\n",
+ "t1=540. #R\n",
+ "tmax=1500. #F\n",
+ "pr=5.\n",
+ "cp=0.24\n",
+ "p1=14. #psia\n",
+ "p3=70. #psia\n",
+ "w2=75.9 #Btu/lb\n",
+ "Qa=265 #Btu/lb\n",
+ "#calculations\n",
+ "pint=p1*math.sqrt(pr)\n",
+ "t6=(tmax+460)/math.pow(p3/pint,((n-1)/n))\n",
+ "t8=(tmax+460)/math.pow(pint/p1,((n-1)/n))\n",
+ "work=cp*(tmax+460-t6)\n",
+ "w22=2*work\n",
+ "net=w22-w2\n",
+ "Qb=cp*(tmax+460-t6)\n",
+ "Qt=Qa+Qb\n",
+ "eta=net/Qt*100.\n",
+ "#results\n",
+ "print '%s %.1f %s' %(\"Thermal efficiency =\",eta,\"percent\")"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Thermal efficiency = 32.4 percent\n"
+ ]
+ }
+ ],
+ "prompt_number": 12
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 13 - Pg 413"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#calculate the thermal efficiency\n",
+ "#Initalization of variables\n",
+ "n=1.4\n",
+ "t1=540. #R\n",
+ "tmax=1500. #F\n",
+ "pr=5.\n",
+ "cp=0.24\n",
+ "t3=1558. #R\n",
+ "net=125.8 #Btu/lb\n",
+ "#calculations\n",
+ "Q=cp*(tmax+460-t3)\n",
+ "Qt=2*Q\n",
+ "eta=net/Qt*100.\n",
+ "#results \n",
+ "print '%s %.1f %s' %(\"Thermal efficiency =\",eta,\" percent\")\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Thermal efficiency = 65.2 percent\n"
+ ]
+ }
+ ],
+ "prompt_number": 13
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+}
\ No newline at end of file |