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{
"metadata": {
"name": "",
"signature": "sha256:719cabf4d155b5060d8459b45f43cc016b1e1aad0e88a0a317b0beeb5ac9abba"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Chapter2-Basic Thermodynamics, Fluid Mechanics: Definitions of Efficiency"
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Ex1-pg40"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"#calculate the polyefficency and overall total to total efficiency\n",
"\n",
"##given data\n",
"gamma = 1.4;\n",
"pi = 8.;##pressure ratio\n",
"T01 = 300.;##inlet temperature in K\n",
"T02 = 586.4;##outlet temperature in K\n",
"\n",
"##Calculations\n",
"##Calculation of Overall Total to Total efficiency\n",
"Tot_eff = ((pi**((gamma-1.)/gamma))-1.)/((T02/T01)-1.);\n",
"\n",
"##Calculation of polytropic efficiency\n",
"Poly_eff = ((gamma-1.)/gamma)*((math.log(pi))/math.log(T02/T01));\n",
"\n",
"##Results\n",
"print'%s %.2f %s'%('The Overall total-to-total efficiency is ',Tot_eff,'');\n",
"print'%s %.2f %s'%('The polytropic efficiency is ',Poly_eff,'');\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The Overall total-to-total efficiency is 0.85 \n",
"The polytropic efficiency is 0.89 \n"
]
}
],
"prompt_number": 1
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Ex2-pg44"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"#calculate the\n",
"\n",
"##given data\n",
"T01 = 1200.;##Stagnation temperature at which gas enters in K\n",
"p01 = 4.;##Stagnation pressure at which gas enters in bar\n",
"c2 = 572.;##exit velocity in m/s\n",
"p2 = 2.36;##exit pressure in bar\n",
"Cp = 1.160*1000.;##in J/kgK\n",
"gamma = 1.33\n",
"\n",
"##calculations\n",
"T2 = T01 - 0.5*(c2**2)/Cp;##Calculation of exit temperature in K\n",
"Noz_eff = ((1.-(T2/T01))/(1.-(p2/p01)**((gamma-1.)/gamma)));##Nozzle efficiency\n",
"\n",
"##Results\n",
"print'%s %.2f %s'%('Nozzle efficiency is ',Noz_eff,'');\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Nozzle efficiency is 0.96 \n"
]
}
],
"prompt_number": 2
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Ex3-pg51"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"#calculate the\n",
"\n",
"##given data\n",
"cp = 0.6;##coefficient of pressure\n",
"AR = 2.13;##Area ratio\n",
"N_R1 = 4.66;\n",
"\n",
"##calculations\n",
"cpi = 1. - (1./(AR**2));\n",
"Diff_eff = cp/cpi;##diffuser efficiency\n",
"theta = 2.*(180./math.pi)*math.atan((AR**0.5 - 1.)/(N_R1));##included cone angle\n",
"\n",
"##Results\n",
"print'%s %.2f %s'%('cpi = \\n',cpi,'');\n",
"print'%s %.2f %s'%('The included cone angle can be found = ',theta,' deg.');\n",
"\n",
"\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"cpi = \n",
" 0.78 \n",
"The included cone angle can be found = 11.26 deg.\n"
]
}
],
"prompt_number": 4
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Ex4-pg52"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"#calculate the\n",
"\n",
"##given data\n",
"AR = 1.8;##Area ratio\n",
"cp = 0.6;##coefficient of pressure\n",
"N_R1 = 7.85;\n",
"\n",
"##calculations\n",
"Theta = 2.*(180./math.pi)*math.atan((AR**0.5 - 1.)/(N_R1));##included cone angle\n",
"cpi = 1.-(1./(AR**2));\n",
"Diff_eff = cp/cpi;##diffuser efficeincy\n",
"\n",
"##Results\n",
"print'%s %.2f %s'%('The included cone angle can be found = ',Theta,' deg.\\n');\n",
"print'%s %.2f %s'%('cpi = \\n',cpi,'');\n",
"print'%s %.2f %s'%('Diffuser efficiency = ',Diff_eff,'');\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The included cone angle can be found = 4.98 deg.\n",
"\n",
"cpi = \n",
" 0.69 \n",
"Diffuser efficiency = 0.87 \n"
]
}
],
"prompt_number": 5
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Ex5-pg53"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"#calculate the\n",
"\n",
"##given data\n",
"AR = 2.0;##Area ratio\n",
"alpha1 = 1.059;\n",
"B1 = 0.109;\n",
"alpha2 = 1.543;\n",
"B2 = 0.364;\n",
"cp = 0.577;##coefficient of pressure\n",
"\n",
"##calculations\n",
"cp = (alpha1 - (alpha2/(AR**2))) - 0.09;\n",
"Diff_eff = cp/(1.-(1./(AR**2)));##Diffuser efficiency\n",
"\n",
"##Results\n",
"print'%s %.2f %s'%('The diffuser efficiency = ',Diff_eff,'');\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The diffuser efficiency = 0.78 \n"
]
}
],
"prompt_number": 6
}
],
"metadata": {}
}
]
}
|
