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{
"metadata": {
"name": ""
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Chapter 1 - \"Introduction\""
]
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Example 1.1, Page number: 13"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from __future__ import division\n",
"import math\n",
"\n",
"#Variables\n",
"k=35; #Thermal Conductivity, [W/m*K]\n",
"T1=110 # Temperature of front[C]\n",
"T2=50; # Temperature of back,[C]\n",
"A=0.4 #area of slab,[m**2]\n",
"x=0.03; #Thickness of slab,[m]\n",
"\n",
"#Calculations\n",
"q=-k*(T2-T1)/(1000*x); #formula for heat flux[KW/m^2]\n",
"Q=q*A; #formula for heat transfer rate[KW]\n",
"\n",
"#Results\n",
"print \"Heat flux is:\",q,\"KW/m^2\\n\"\n",
"print \"Heat transfer rate is:\",Q,\"KW \\n\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Heat flux is: 70.0 KW/m^2\n",
"\n",
"Heat transfer rate is: 28.0 KW \n",
"\n"
]
}
],
"prompt_number": 1
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Example 1.2, Page number: 16"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from __future__ import division\n",
"import math\n",
"from sympy import solve,symbols\n",
"\n",
"#Variables\n",
"x=symbols('x');\n",
"k1=372; # Thermal Conductivity of slab,W/m*K\n",
"x1=0.003; # Thickness of slab,m\n",
"x2=0.002 # Thickness of steel,m\n",
"k2=17; # Thermal Conductivity of steel,W/m*K\n",
"T1=400; # Temperature on one side,C\n",
"T2=100 #Temperature on other side,C\n",
"\n",
"#Calculations\n",
"Tcu=solve(x+2*x*(k1/x1)*(x2/k2)-(T1-T2),x);\n",
"#q=k1*(Tcu/x1)=k2*(Tss/x2);\n",
"Tss = Tcu[0]*(k1/x1)*(x2/k2); # formula for temperature gradient in steel side\n",
"Tcul=T1-Tss;\n",
"Tcur=T2+Tss;\n",
"q=k2*Tss/(1000*x2); # formula for heat conducted, kW\\m^2\n",
"\n",
"#Results\n",
"print \"Temperature on left copper side is :\",round(Tcul,3),\"C\\n\"\n",
"print \"Temperature on right copper side is :\",round(Tcur,3),\"C\\n\"\n",
"print \"Heat conducted through the wall is :\",round(q,3),\"kW\\m^2\\n\"\n",
"print \"Our initial approximation was accurate within a few percent.\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Temperature on left copper side is : 254.971 C\n",
"\n",
"Temperature on right copper side is : 245.029 C\n",
"\n",
"Heat conducted through the wall is : 1232.749 kW\\m^2\n",
"\n",
"Our initial approximation was accurate within a few percent.\n"
]
}
],
"prompt_number": 2
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Example 1.3, Page number: 22"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from __future__ import division\n",
"import math\n",
"\n",
"#Variables\n",
"q1=6000; #Heat flux, W*m**-2\n",
"T1=120; #Heater Temperature, C\n",
"T2=70; #final Temperature of Heater, C\n",
"q2=2000; #final heat flux, W*m**-2\n",
"\n",
"#Calculations\n",
"h=q1/(T1-T2) #formula for average heat transfer cofficient\n",
"Tnew=T2+q2/h; #formula for new Heater temperature, C\n",
"\n",
"#Results\n",
"print \"Average Heat transfer coefficient is:\",h,\"W/(m^2*K)\\n\"\n",
"print \"New Heater Temperature is:\",round(Tnew,3),\"C\\n\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Average Heat transfer coefficient is: 120.0 W/(m^2*K)\n",
"\n",
"New Heater Temperature is: 86.667 C\n",
"\n"
]
}
],
"prompt_number": 3
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Example 1.4, Page number: 25"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from __future__ import division\n",
"import math\n",
"from numpy import array\n",
"from numpy import linspace\n",
"import matplotlib.pyplot as plt\n",
"from pylab import *\n",
"%matplotlib inline\n",
"\n",
"#Variables\n",
"h=250; #Heat Transfer Coefficient, W/(m**2*K)\n",
"k=45; #Thermal Conductivity, W/(m*K)\n",
"c=180; #Heat Capacity, J/(kg*K)\n",
"a=9300; #density, kg/m**3\n",
"T1=200; #temperature, C\n",
"D=0.001; #diameter of bead, m\n",
"t1=linspace(0,5,50); #defining time interval of 0.1 seconds\n",
"T=linspace(0,5,50);\n",
"i=0;\n",
"\n",
"#Calculations\n",
"while i<50:\n",
" T[i]=T1-c*math.exp(-t1[i]/((a*c*D)/(6*h))); #Calculating temperature at each time in degree C\n",
" i=i+1;\n",
"\n",
"plt.plot(t1,T);\n",
"plt.xlabel(\"Time(in sec)\");\n",
"plt.ylabel(\"Temperature(in degree C)\");\n",
"plt.title(\"Thermocouple response to a hot gas flow\");\n",
"plt.show();\n",
"\n",
"Bi = h*(D/2)/k; #biot no.\n",
"\n",
"#Results\n",
"print \"The value of Biot no for this thermocouple is\",round(Bi,5);\n",
"print \"Bi is <0.1 and hence the thermocouple could be considered as a lumped heat capacity system and the assumption taken is valid.\\n\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"ename": "ImportError",
"evalue": "DLL load failed: %1 is not a valid Win32 application.",
"output_type": "pyerr",
"traceback": [
"\u001b[1;31m---------------------------------------------------------------------------\u001b[0m\n\u001b[1;31mImportError\u001b[0m Traceback (most recent call last)",
"\u001b[1;32m<ipython-input-4-48a98dda89ad>\u001b[0m in \u001b[0;36m<module>\u001b[1;34m()\u001b[0m\n\u001b[0;32m 1\u001b[0m \u001b[1;32mfrom\u001b[0m \u001b[0m__future__\u001b[0m \u001b[1;32mimport\u001b[0m \u001b[0mdivision\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 2\u001b[0m \u001b[1;32mimport\u001b[0m \u001b[0mmath\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m----> 3\u001b[1;33m \u001b[1;32mfrom\u001b[0m \u001b[0mnumpy\u001b[0m \u001b[1;32mimport\u001b[0m \u001b[0marray\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 4\u001b[0m \u001b[1;32mfrom\u001b[0m \u001b[0mnumpy\u001b[0m \u001b[1;32mimport\u001b[0m \u001b[0mlinspace\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 5\u001b[0m \u001b[1;32mimport\u001b[0m \u001b[0mmatplotlib\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mpyplot\u001b[0m \u001b[1;32mas\u001b[0m \u001b[0mplt\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
"\u001b[1;32mC:\\Users\\jaidev\\Anaconda\\lib\\site-packages\\numpy\\__init__.py\u001b[0m in \u001b[0;36m<module>\u001b[1;34m()\u001b[0m\n\u001b[0;32m 151\u001b[0m \u001b[1;32mreturn\u001b[0m \u001b[0mloader\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m*\u001b[0m\u001b[0mpackages\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;33m**\u001b[0m\u001b[0moptions\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 152\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 153\u001b[1;33m \u001b[1;32mfrom\u001b[0m \u001b[1;33m.\u001b[0m \u001b[1;32mimport\u001b[0m \u001b[0madd_newdocs\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 154\u001b[0m \u001b[0m__all__\u001b[0m \u001b[1;33m=\u001b[0m \u001b[1;33m[\u001b[0m\u001b[1;34m'add_newdocs'\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;34m'ModuleDeprecationWarning'\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 155\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n",
"\u001b[1;32mC:\\Users\\jaidev\\Anaconda\\lib\\site-packages\\numpy\\add_newdocs.py\u001b[0m in \u001b[0;36m<module>\u001b[1;34m()\u001b[0m\n\u001b[0;32m 11\u001b[0m \u001b[1;32mfrom\u001b[0m \u001b[0m__future__\u001b[0m \u001b[1;32mimport\u001b[0m \u001b[0mdivision\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mabsolute_import\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mprint_function\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 12\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m---> 13\u001b[1;33m \u001b[1;32mfrom\u001b[0m \u001b[0mnumpy\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mlib\u001b[0m \u001b[1;32mimport\u001b[0m \u001b[0madd_newdoc\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 14\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 15\u001b[0m \u001b[1;31m###############################################################################\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
"\u001b[1;32mC:\\Users\\jaidev\\Anaconda\\lib\\site-packages\\numpy\\lib\\__init__.py\u001b[0m in \u001b[0;36m<module>\u001b[1;34m()\u001b[0m\n\u001b[0;32m 6\u001b[0m \u001b[1;32mfrom\u001b[0m \u001b[0mnumpy\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mversion\u001b[0m \u001b[1;32mimport\u001b[0m \u001b[0mversion\u001b[0m \u001b[1;32mas\u001b[0m \u001b[0m__version__\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 7\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m----> 8\u001b[1;33m \u001b[1;32mfrom\u001b[0m \u001b[1;33m.\u001b[0m\u001b[0mtype_check\u001b[0m \u001b[1;32mimport\u001b[0m \u001b[1;33m*\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 9\u001b[0m \u001b[1;32mfrom\u001b[0m \u001b[1;33m.\u001b[0m\u001b[0mindex_tricks\u001b[0m \u001b[1;32mimport\u001b[0m \u001b[1;33m*\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 10\u001b[0m \u001b[1;32mfrom\u001b[0m \u001b[1;33m.\u001b[0m\u001b[0mfunction_base\u001b[0m \u001b[1;32mimport\u001b[0m \u001b[1;33m*\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
"\u001b[1;32mC:\\Users\\jaidev\\Anaconda\\lib\\site-packages\\numpy\\lib\\type_check.py\u001b[0m in \u001b[0;36m<module>\u001b[1;34m()\u001b[0m\n\u001b[0;32m 9\u001b[0m 'common_type']\n\u001b[0;32m 10\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m---> 11\u001b[1;33m \u001b[1;32mimport\u001b[0m \u001b[0mnumpy\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mcore\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mnumeric\u001b[0m \u001b[1;32mas\u001b[0m \u001b[0m_nx\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 12\u001b[0m \u001b[1;32mfrom\u001b[0m \u001b[0mnumpy\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mcore\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mnumeric\u001b[0m \u001b[1;32mimport\u001b[0m \u001b[0masarray\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0masanyarray\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0marray\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0misnan\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0;31m \u001b[0m\u001b[0;31m\\\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 13\u001b[0m \u001b[0mobj2sctype\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mzeros\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
"\u001b[1;32mC:\\Users\\jaidev\\Anaconda\\lib\\site-packages\\numpy\\core\\__init__.py\u001b[0m in \u001b[0;36m<module>\u001b[1;34m()\u001b[0m\n\u001b[0;32m 4\u001b[0m \u001b[1;32mfrom\u001b[0m \u001b[0mnumpy\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mversion\u001b[0m \u001b[1;32mimport\u001b[0m \u001b[0mversion\u001b[0m \u001b[1;32mas\u001b[0m \u001b[0m__version__\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 5\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m----> 6\u001b[1;33m \u001b[1;32mfrom\u001b[0m \u001b[1;33m.\u001b[0m \u001b[1;32mimport\u001b[0m \u001b[0mmultiarray\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 7\u001b[0m \u001b[1;32mfrom\u001b[0m \u001b[1;33m.\u001b[0m \u001b[1;32mimport\u001b[0m \u001b[0mumath\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 8\u001b[0m \u001b[1;32mfrom\u001b[0m \u001b[1;33m.\u001b[0m \u001b[1;32mimport\u001b[0m \u001b[0m_internal\u001b[0m \u001b[1;31m# for freeze programs\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
"\u001b[1;31mImportError\u001b[0m: DLL load failed: %1 is not a valid Win32 application."
]
}
],
"prompt_number": 4
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Example 1.5, Page number: 32"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from __future__ import division\n",
"import math\n",
"from sympy import solve,symbols\n",
"\n",
"#Variables\n",
"x=symbols('x');\n",
"T1=293; #Temperature of air around thermocouple, K\n",
"T2=373; #Wall temperature, K\n",
"h=75; #Average Heat Transfer Coefficient, W/(m**2*K)\n",
"s=5.67*10**-8; #stefan Boltzman constant, W/(m**2*K**4)\n",
"\n",
"#Calculations\n",
"x=solve((h*(x-T1)+s*(x**4-T2**4)),x);\t #Calculating Thermocouple Temperature, K\n",
"y=x[1]-273;\t\t\t\t #Thermocouple Temperature, C\n",
"\n",
"#Results\n",
"print \"Thermocouple Temperature is :\",round(y,3),\"C\\n\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Thermocouple Temperature is : 28.395 C\n",
"\n"
]
}
],
"prompt_number": 1
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Example 1.6, Page number: 34"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from __future__ import division\n",
"import math\n",
"from sympy import solve,symbols\n",
"\n",
"#Variables\n",
"x=symbols('x');\n",
"e=0.4; #emissivity\n",
"T1=293; #Temperature of air around Thermocouple, K\n",
"T2=273; #wall Temperature, K\n",
"h=75; #Average Heat Transfer Coefficient, W/(m**2*K)\n",
"s=5.6704*10**-8; #stefan Boltzman constant, W/(m**2*K**4)\n",
"\n",
"#Calculations\n",
"z=solve(((s*e*((373)**4 - (x)**4)) - h*(x-293)),x);\t#Calculating Thermocouple Temperature, K\n",
"y=z[0]-273;\t\t\t\t\t #Thermocouple Temperature, C\n",
"\n",
"'''NOTE: Equation written is absolutely correct and solving this equation\n",
" should give real result as: 296.112 i.e. 23.112 C, but somehow python is giving wrong result.'''\n",
"\n",
"#Results\n",
"print \"Thermocouple Temperature is :\",round(y,1),\"C \\n\"\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Thermocouple Temperature is : 25.9 C \n",
"\n"
]
}
],
"prompt_number": 3
}
],
"metadata": {}
}
]
}
|
