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authorTrupti Kini2016-09-09 23:30:25 +0600
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Added(A)/Deleted(D) following books
A Heat_Transfer_Principles_And_Applications_by_Dutta/README.txt A Heat_Transfer_Principles_And_Applications_by_Dutta/ch10.ipynb A Heat_Transfer_Principles_And_Applications_by_Dutta/ch11.ipynb A Heat_Transfer_Principles_And_Applications_by_Dutta/ch2.ipynb A Heat_Transfer_Principles_And_Applications_by_Dutta/ch3.ipynb A Heat_Transfer_Principles_And_Applications_by_Dutta/ch4.ipynb A Heat_Transfer_Principles_And_Applications_by_Dutta/ch5.ipynb A Heat_Transfer_Principles_And_Applications_by_Dutta/ch6.ipynb A Heat_Transfer_Principles_And_Applications_by_Dutta/ch7.ipynb A Heat_Transfer_Principles_And_Applications_by_Dutta/ch8.ipynb A Heat_Transfer_Principles_And_Applications_by_Dutta/ch9.ipynb A Heat_Transfer_Principles_And_Applications_by_Dutta/screenshots/10.png A Heat_Transfer_Principles_And_Applications_by_Dutta/screenshots/5.png A Heat_Transfer_Principles_And_Applications_by_Dutta/screenshots/51.png A Heat_Transfer_in_SI_units_by_Holman/Chapter1.ipynb A Heat_Transfer_in_SI_units_by_Holman/Chapter10.ipynb A Heat_Transfer_in_SI_units_by_Holman/Chapter11.ipynb A Heat_Transfer_in_SI_units_by_Holman/Chapter2.ipynb A Heat_Transfer_in_SI_units_by_Holman/Chapter3.ipynb A Heat_Transfer_in_SI_units_by_Holman/Chapter4.ipynb A Heat_Transfer_in_SI_units_by_Holman/Chapter5.ipynb A Heat_Transfer_in_SI_units_by_Holman/Chapter6.ipynb A Heat_Transfer_in_SI_units_by_Holman/Chapter7.ipynb A Heat_Transfer_in_SI_units_by_Holman/Chapter8.ipynb A Heat_Transfer_in_SI_units_by_Holman/Chapter9.ipynb A Heat_Transfer_in_SI_units_by_Holman/README.txt A Heat_Transfer_in_SI_units_by_Holman/screenshots/9.1.png A Heat_Transfer_in_SI_units_by_Holman/screenshots/9.2.png A Heat_Transfer_in_SI_units_by_Holman/screenshots/9.4.png A Power_Electronics_Principles_and_Applications_by_Jacob/Chapter1.ipynb A Power_Electronics_Principles_and_Applications_by_Jacob/Chapter2.ipynb A Power_Electronics_Principles_and_Applications_by_Jacob/Chapter3.ipynb A Power_Electronics_Principles_and_Applications_by_Jacob/Chapter4.ipynb A Power_Electronics_Principles_and_Applications_by_Jacob/Chapter5.ipynb A Power_Electronics_Principles_and_Applications_by_Jacob/Chapter6.ipynb A Power_Electronics_Principles_and_Applications_by_Jacob/Chapter7.ipynb A Power_Electronics_Principles_and_Applications_by_Jacob/Chapter8.ipynb A Power_Electronics_Principles_and_Applications_by_Jacob/Chapter9.ipynb A Power_Electronics_Principles_and_Applications_by_Jacob/README.txt A Power_Electronics_Principles_and_Applications_by_Jacob/screenshots/4.png A Power_Electronics_Principles_and_Applications_by_Jacob/screenshots/5.png A Power_Electronics_Principles_and_Applications_by_Jacob/screenshots/6.png A sample_notebooks/AviralYadav/Chapter5.ipynb
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+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Chapter 11 : Boundary layer heat transfer"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 11.1 Page No : 478"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "i) Boundary layer thickness is 0.0033 m\n",
+ "Local drag coefficient is 8.72e-04 \n",
+ "total drag force is 0.615 N \n",
+ "Shear stress is 0.285 N/m**2\n"
+ ]
+ }
+ ],
+ "source": [
+ "import math \n",
+ "#Variable\n",
+ "v = 1. \t\t\t#m/s\n",
+ "#temprature\n",
+ "T = 25. \t\t\t# degree celcius\n",
+ "#length of plate,l = 1m\n",
+ "l = 1. \t\t\t#m\n",
+ "#width of plate,w = 0.5m\n",
+ "w = 0.5 \t\t\t#m\n",
+ "#angle of incidence,theta = 0 degree\n",
+ "theta = 0. \t\t\t#degree\n",
+ "\n",
+ "#Calculation\n",
+ "#for water at 25 degree celcius ,momentum diffusivity,\n",
+ "MD = 8.63*(10**-7) \t\t\t# m**2/s\n",
+ "#local Reynold no.\n",
+ "x = 0.5 \t\t\t#m\n",
+ "Re = x*v/MD \n",
+ "#from Eq. 11.39,the boundary layer thickness is\n",
+ "t = 5*x/(Re**0.5)\n",
+ "\n",
+ "\n",
+ "#Results\n",
+ "print \"i) Boundary layer thickness is %.4f m\"%(t)\n",
+ "\n",
+ "#local drag coefficient\n",
+ "#CD = local drag force per unit area (F)/kinetic energy per unit volume(KE)\n",
+ "#F = 0.332*rho*v**2*Re**0.5 and KE = 0.5*rho*v**2\n",
+ "CD = 0.332*v**2*(Re**-0.5)/(0.5)*v**2\n",
+ "\n",
+ "print \"Local drag coefficient is %.2e \"%(CD)\n",
+ "\n",
+ "#From eq 11.44, the drag force acting on one side of the plate is\n",
+ "#kinetic viscocity\n",
+ "mu = 8.6*(10**-4)\n",
+ "fd = 0.664*mu*v*(l*v/MD)**0.5*w\n",
+ "#the total force acting on both sides of the plate\n",
+ "\n",
+ "tfd = 2*fd\n",
+ "print \"total drag force is %.3f N \"%(tfd)\n",
+ "\n",
+ "#shear stress at any point in the boundary layer\n",
+ "#at a point in the boundary layer,\n",
+ "x = 0.5 \t\t\t#m\n",
+ "y = t/2\n",
+ "# n = blasius dimensionless variable\n",
+ "n = y/(MD*x/v)**0.5\n",
+ "#From table 11.1, at n = 2.5,f\"(n) = 0.218\n",
+ "#shear stress = tau\n",
+ "fn = 0.218 \t\t\t#f\"(n) = fn\n",
+ "tau = (mu*v*(v/(MD*x))**0.5)*fn\n",
+ "print \"Shear stress is %.3f N/m**2\"%(tau)\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 11.2 Page No : 488"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Thermal boundary layer thickness is 8.7 mm \n",
+ "heat transfer coeff is 6.9 W/m**2 C\n"
+ ]
+ }
+ ],
+ "source": [
+ "#Variable\n",
+ "Ts = 200. \t\t\t# C,temp. of air\n",
+ "Ta = 30. \t\t\t#C, temp .of surface\n",
+ "Va = 8. \t\t\t#m/s, velocity of air\n",
+ "d = 0.75 \t\t\t#m, dismath.tant from leading edge\n",
+ "\n",
+ "#Calculation and Results\n",
+ "Tm = (Ts+Ta)/2 \t\t\t#C, Mean temp. of boundary layer\n",
+ "mu = 2.5*10**-5 \t\t\t#m**2/s, vismath.cosity\n",
+ "P = 0.69 \t\t\t#prndatl no.\n",
+ "k = 0.036 \t\t\t#W/m c, thermal conductivity\n",
+ "Re = d*Va/mu \t\t\t#reynold no.\n",
+ "t = 5*d/(Re**0.5*P**(1./3)) \t\t\t#m, thermal boundary layer thickness\n",
+ "print \"Thermal boundary layer thickness is %.1f mm \"%(t*10**3)\n",
+ "\n",
+ "N = (0.332*Re**(0.5)*P**(1./3)) \t\t\t#Nusslet no.\n",
+ "h = k*N/d \t\t\t#heat transfer coefficent\n",
+ "print \"heat transfer coeff is %.1f W/m**2 C\"%(h)\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 11.3 Page No : 489"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Local rate of heat exchange is 235 W/m2\n",
+ "Plate temperature is :108 Celsius \n"
+ ]
+ }
+ ],
+ "source": [
+ "# Variables\n",
+ "#Free strean velocity (v1) and temp.(t1) on side 1\n",
+ "v1 = 6. \t\t\t#m/s\n",
+ "t1 = 150. \t\t\t#degree celcius\n",
+ "#same on side 2\n",
+ "v2 = 3. \t\t\t#m/s\n",
+ "t2 = 50. \t\t\t#degree celcius\n",
+ "#dismath.tant\n",
+ "x = 0.7 \t\t\t#m\n",
+ "#The plate temp. is assumed to be equal to the mean of the bulk air temp on the two sides of the plates\n",
+ "T = 100. \t\t\t#degree celcius\n",
+ "\n",
+ "# Calculations\n",
+ "#Side 1\n",
+ "#mean air temp.\n",
+ "tm1 = (T+t1)/2\n",
+ "#From thermophysical properties:kinetic vismath.cosity (kv),Prandtl no.(P), thermal conductivity (k)\n",
+ "kv1 = 2.6*10**-5 \t\t\t#m**2/s\n",
+ "P1 = 0.69\n",
+ "k1 = 0.0336 \t\t\t#W/m degree celcius\n",
+ "#Reynold no.\n",
+ "Re1 = x*v1/kv1\n",
+ "#Nusslet no(N1)\n",
+ "a = 1/3.\n",
+ "N1 = 0.332*(Re1)**0.5*P1**a\n",
+ "h1 = k1*N1/x\n",
+ "#Side 2 of the plate\n",
+ "tm2 = (T+t2)/2\n",
+ "#Similarly\n",
+ "kv2 = 2.076*(10)**-5 \t\t\t#m**2/s\n",
+ "P2 = 0.70\n",
+ "k2 = 0.03 \t\t\t#W/m degree celcius\n",
+ "Re2 = x*v2/kv2\n",
+ "N2 = 0.332*(Re2)**0.5*P2**a\n",
+ "h2 = k2*N2/x\n",
+ "#overall heat transfer coeff. \n",
+ "U = h1*h2/(h1+h2)\n",
+ "#The local rate of heat exchange\n",
+ "RH = U*(t1-t2)\n",
+ "\n",
+ "# Results\n",
+ "print \"Local rate of heat exchange is %.0f W/m2\"%(RH)\n",
+ "#the plate temp is given by\n",
+ "TP = t2+(t1-t2)*U/h2\n",
+ "print \"Plate temperature is :%.0f Celsius \"%(TP)\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 11.4 Page No : 490"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "The temprature of plate after 1 hour is 82 C\n"
+ ]
+ }
+ ],
+ "source": [
+ "import math\n",
+ "# Variables\n",
+ "T1 = 120. \t\t\t#C, initial temp.\n",
+ "T2 = 25. \t\t\t#C, Final temp.\n",
+ "Tm = (T1+T2)/2 \t\t\t#C, mean temp.\n",
+ "rho = 8880. \t\t\t#kg/m**3, density of plate\n",
+ "#Properties of air at mean temp.\n",
+ "mu = 2.07*10**-5 \t\t\t#m**2/s, vismath.cosity\n",
+ "Pr = 0.7 \t\t\t#Prandtl no.\n",
+ "k = 0.03 \t\t\t#W/m C, thermal conductivity\n",
+ "l = 0.4 \t\t\t#m, length of plate\n",
+ "w = 0.3 \t\t\t#m, width of plate\n",
+ "d = 0.0254 \t\t\t#m, thickness of plate\n",
+ "Vinf = 1. \t\t\t#m/s, air velocity\n",
+ "Re = l*Vinf/mu \t\t\t#REynold no.\n",
+ "\n",
+ "#from eq. 11.90 (b)\n",
+ "Nu = 0.664*(Re)**(1./2)*(Pr)**(1./3) \t\t\t#average Nusslet no.\n",
+ "#Nu = l*h/k\n",
+ "h = Nu*k/l \t\t\t#W/m**2 C, heat transfer coefficient\n",
+ "#Rate of change of temp. is given by\n",
+ "A = 2*l*w \t\t\t#m**2. area of plate\n",
+ "t = 1*3600. \t\t\t#s, time\n",
+ "cp = 0.385*10.**3 \t\t\t#j/kg K, specific heat\n",
+ "m = l*w*d*rho \t\t\t#kg, mass of plate\n",
+ "\n",
+ "#-d/dt(m*cp8dt) = A*hv*(T1-T2)\n",
+ "#appling the boundary condition \n",
+ "T = (T1-T2)*math.exp(-A*h*t/(m*cp))+T2\n",
+ "print \"The temprature of plate after 1 hour is %.0f C\"%(T)\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 11.5 Page No : 508"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Nusslet no is: 388 \n"
+ ]
+ }
+ ],
+ "source": [
+ "import math\n",
+ "# Variables\n",
+ "#Reynold no (Re),friction factor(f),Prandlt no. (P)\n",
+ "Re = 7.44*(10**4)\n",
+ "f = 0.00485\n",
+ "P = 5.12\n",
+ "x = P-1 \t\t\t#assume\n",
+ "\n",
+ "# Calculations\n",
+ "#according to Von Karmen anamath.logy\n",
+ "N = ((f/2)*Re*P)/(1+(5*math.sqrt(f/2))*(x+math.log(1+(5./6)*x)))\n",
+ "\n",
+ "# Results\n",
+ "print \"Nusslet no is: %.0f \"%(N)\n",
+ "\n"
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 2",
+ "language": "python",
+ "name": "python2"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 2
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython2",
+ "version": "2.7.6"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}