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{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"CHAPTER16:SOME SPECIAL CASES COUETTE AND POISEUILLE FLOWS"
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example E01 : Pg 524"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# All the quantities are expressed in SI units\n",
"\n",
"mue = 1.7894*10**5; # coefficient of viscosity\n",
"ue = 60.96; # velocity of upper plate\n",
"D = 2.54*10**4; # distance between the 2 plates\n",
"T_w = 288.3; # temperature of the plates\n",
"Pr = 0.71; # Prandlt number\n",
"cp = 1004.5; # specific heat at constant pressure\n",
"\n",
"# (a)\n",
"# from eq.(16.6)\n",
"u = ue/2;\n",
"\n",
"# (b)\n",
"# from eq.(16.9)\n",
"tow_w = mue*ue/D;\n",
"\n",
"# (c)\n",
"# from eq.(16.34)\n",
"T = T_w + Pr*ue**2/8/cp;\n",
"\n",
"# (d)\n",
"# from eq.(16.35)\n",
"q_w_dot = mue/2*ue**2/D;\n",
"\n",
"# (e)\n",
"# from eq.(16.40)\n",
"T_aw = T_w + Pr/cp*ue**2/2;\n",
"\n",
"print\"(a)u =\",u,\"m/s\"\n",
"print\"(b)tow_w =\",tow_w,\"N/m2\"\n",
"print\"(c)T =\",T,\"K\"\n",
"print\"(d)q_w_dot =\",q_w_dot,\"Nm-1s-1\"\n",
"print\"(e)Taw =\",\"K\",T_aw\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"(a)u = 30.48 m/s\n",
"(b)tow_w = 429.456 N/m2\n",
"(c)T = 288.628328315 K\n",
"(d)q_w_dot = 13089.81888 Nm-1s-1\n",
"(e)Taw = K 289.613313258\n"
]
}
],
"prompt_number": 1
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example E02 : Pg 524"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# All the quantities are expressed in SI units\n",
"import math \n",
"from math import sqrt\n",
"mue = 1.7894*10**5; # coefficient of viscosity\n",
"Me = 3.; # mach number of upper plate\n",
"D = 2.54*10**4; # distance between the 2 plates\n",
"pe = 101000.; # ambient pressure\n",
"Te = 288.; # temperature of the plates\n",
"Tw = Te;\n",
"gam = 1.4; # ratio of specific heats\n",
"R = 287; # specific gas constant\n",
"Pr = 0.71; # Prandlt number\n",
"cp = 1004.5; # specific heat at constant pressure\n",
"tow_w = 72.; # shear stress on the lower wall\n",
"# the velocity of the upper plate is given by\n",
"ue = Me*sqrt(gam*R*Te);\n",
"# the density at both plates is\n",
"rho_e = pe/R/Te;\n",
"# the coefficient of skin friction is given by\n",
"cf = 2.*tow_w/rho_e/ue**2.;\n",
"# from eq.(16.92)\n",
"C_H = cf/2/Pr;\n",
"# from eq.(16.82)\n",
"h_aw = cp*Te + Pr*ue**2/2;\n",
"h_w = cp*Tw;\n",
"q_w_dot = rho_e*ue*(h_aw-h_w)*C_H;\n",
"print\"The heat transfer is given by:q_w_dot =\",q_w_dot/1e4,\"W/m2\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The heat transfer is given by:q_w_dot = 3.67387998933 W/m2\n"
]
}
],
"prompt_number": 2
}
],
"metadata": {}
}
]
}
|
