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{
"metadata": {
"name": "",
"signature": "sha256:cffb7499e644cbe142eb25461633ec2cdaafe8ff11e84d4c7e11093fb9322221"
},
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"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Chapter 7 : Similitude and Dimensional Analysis"
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 7.2 Page No : 192"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\t\n",
"#Initialization of variables\n",
"Dratio = 8.\n",
"mu = 0.0006\n",
"rho = 52/32.2\n",
"vm = 1.22*10**-5 \t# lbs/ft**2\n",
"V = 45. # velocity - fps\n",
"Fm = 0.8\n",
"\t\n",
"#calculations\n",
"vp = round(mu/rho,7)\n",
"Vm = vm*V/(Dratio*vp)\n",
"Fratio = rho*V**2 /(1.94*Vm**2 *Dratio**2)\n",
"Fp = Fratio*Fm\n",
"\n",
"#Results\n",
"print \"velocity = %.2f fps\"%(Vm)\n",
"print \" Drag force = %d lb\"%(Fp)\n",
"\n",
"# note : The answer given in textbook for vp is wrong. Hence, the difference in answers\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"velocity = 0.18 fps\n",
" Drag force = 617 lb\n"
]
}
],
"prompt_number": 4
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 7.3 Page No : 195"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math \n",
"\t\n",
"#Initialization of variables\n",
"L = 50.\n",
"Fm = 0.02 \t#N\n",
"Vm = 1. \t#m/s\n",
"\t\n",
"#calculations\n",
"Fp = L**3 *Fm \n",
"Fp = Fp*0.2248\n",
"Vp = math.sqrt(L) *Vm\n",
"Vp = Vp*3.28\n",
"Hp = Fp*Vp/550\n",
"\t\n",
"#Results\n",
"print \"Required horsepower = %.1f hp\"%(Hp)\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Required horsepower = 23.7 hp\n"
]
}
],
"prompt_number": 2
}
],
"metadata": {}
}
]
}
|
