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{
"metadata": {
"name": "",
"signature": "sha256:24438326f2aac267ced1e2e3aa21e094819eefb50d5f8862608b62208400992d"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Chapter 12: Incompressible Flow around a Body"
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 12.1, Page 399"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from __future__ import division\n",
"import math\n",
"\n",
"\n",
" #Initializing the variables\n",
"x =35;\n",
"T = 50;\n",
"m = 1;\n",
"g =9.81;\n",
"rho = 1.2;\n",
"A = 1.2;\n",
"U0 = 40*1000/3600; # Velocity in m/s\n",
"\n",
" #Calculations\n",
"L = T*math.sin(math.radians(x))+m*g;\n",
"D =T*math.cos(math.radians(x));\n",
"Cl = 2*L/(rho*U0**2*A);\n",
"Cd = 2*D/(rho*U0**2*A); \n",
"\n",
"print \"Lift Coefficient :\",round(Cl,3)\n",
"print \"Drag Coefficient :\",round(Cd,3)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Lift Coefficient : 0.433\n",
"Drag Coefficient : 0.461\n"
]
}
],
"prompt_number": 1
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 12.2, Page 406"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from __future__ import division\n",
"import math\n",
"\n",
"\n",
" #Initializing the variables\n",
"Vp =12;\n",
"lp = 40;\n",
"lm = 1;\n",
"As = 2500;\n",
"Dm = 32;\n",
"rhoP = 1025;\n",
"rhoM = 1000;\n",
"Ap = As;\n",
"\n",
" #Calculations\n",
"Am = As/40**2;\n",
"Vm = round(Vp*(lm/lp)**0.5,2);\n",
"Dfm = round(3.7*Vm**1.95*Am,1);\n",
"Rm = Dm - Dfm;\n",
"Rp = Rm *(rhoP/rhoM)*(lp/lm)**2*(Vp/Vm)**2;\n",
"Dfp = 2.9*Vp**1.8*Ap;\n",
"Dp = Rp + Dfp;\n",
"\n",
"print \"Expected total resistance (kN) :\",round(Dp/1000,2)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Expected total resistance (kN) : 1407.07\n"
]
}
],
"prompt_number": 2
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 12.3, Page 410"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from __future__ import division\n",
"import math\n",
"\n",
"\n",
" #Initializing the variables\n",
"U0 = 80*1000/3600;\n",
"d = 0.02;\n",
"rho =1.2;\n",
"mu = 1.7*10**-5;\n",
"A = 0.02*500; # Projected area of wire\n",
"N = 20; # No of cables\n",
"\n",
" #Calculations\n",
"Re = rho*U0*d/mu;\n",
"Cd = 1.2 # From figure 12.10 for given Re; \n",
"D = 0.5*rho*Cd*A*U0**2\n",
"F = N*D; \n",
"f = 0.198*(U0/d)*(1-19.7/Re);\n",
"\n",
"print \"Total force on tower (kN) :\",round(F/1000,2)\n",
"print \"Frequency (Hz) :\",round(f,1)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Total force on tower (kN) : 71.11\n",
"Frequency (Hz) : 219.9\n"
]
}
],
"prompt_number": 3
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 12.4, Page 415"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from __future__ import division\n",
"import math\n",
"\n",
"\n",
" #Initializing the variables\n",
"mu = 0.03;\n",
"d = 10**-3;\n",
"rhoP = 1.1*10**3;\n",
"g = 9.81;\n",
"rho0 = 0.9*10**3;\n",
" #Calculations\n",
"B = 18*mu/(d**2*rhoP);\n",
"t = round(4.60/B,4);\n",
"Vt = round(d**2*(rhoP - rho0)*g/(18*mu),5);\n",
"Re = rho0*Vt*d/mu;\n",
"\n",
"print \"Time taken by the particle take to reach 99 per cent of its terminal velocity (s):\",t\n",
"print \"\\nReynolds No corrosponding to the velocity :\",Re"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Time taken by the particle take to reach 99 per cent of its terminal velocity (s): 0.0094\n",
"\n",
"Reynolds No corrosponding to the velocity : 0.1089\n"
]
}
],
"prompt_number": 4
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 12.5, Page 417"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from __future__ import division\n",
"import math\n",
"\n",
"\n",
" #Initializing the variables\n",
"muO = 0.0027;\n",
"Vt = 3*10**-3;\n",
"rhoW = 1000;\n",
"rhoP = 2.4*rhoW;\n",
"rhoO = 0.9*rhoW;\n",
"g = 9.81;\n",
"muA = 1.7*10**-5;\n",
"rhoA = 1.3;\n",
"\n",
" #Calculations\n",
"d = (18*muO*Vt/(rhoP-rhoO)/g)**0.5;\n",
"Re = Vt*d*rhoO/muO;\n",
"\n",
" #Movement of particle in upward direction\n",
"if(Re < 1):\n",
" v = 0.5;\n",
" \n",
" Re=5; # from fig 12.15\n",
" vt = muA*Re/(rhoA*d);\n",
" u = vt+v;\n",
" print \"Velocity of air stream blowing vertically up (m/s) :\",round(u,3) \n",
"else:\n",
" print \"strokes law is not valid\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Velocity of air stream blowing vertically up (m/s) : 1.157\n"
]
}
],
"prompt_number": 5
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 12.6, Page 429"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from __future__ import division\n",
"import math\n",
"\n",
"\n",
" #Initializing the variables\n",
"c = 2;\n",
"s = 10;\n",
"rho = 5.33;\n",
"rho_ellip = 1.2;\n",
"D = 400;\n",
"L = 45000;\n",
"scale = 20;\n",
"U_windTunnel = 500;\n",
"U_proto = 400*1000/3600;\n",
"\n",
" #Calculations\n",
"A = c*s;\n",
"U_model = U_windTunnel/scale;\n",
"Cd = D/(0.5*rho*U_model**2*A);\n",
"Cl = L/(0.5*rho_ellip*U_proto**2*A); # Considering elliptical Lift model\n",
"Cdi = Cl**2/(math.pi*s/c); # Aspect Ratio = s/c \n",
"Cdt = Cd + Cdi;\n",
"Dw = 0.5*Cdt*rho_ellip*U_proto**2*A;\n",
"print \"Total drag on full sized wing (kN) :\",round(Dw/1000,2)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Total drag on full sized wing (kN) : 2.65\n"
]
}
],
"prompt_number": 6
}
],
"metadata": {}
}
]
}
|
