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{
"metadata": {
"name": "",
"signature": "sha256:a18675a96e26e95bc119a7095e6c5f784a91bb484f337fa10d53e05acf798c32"
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"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Chapter 9 : Potential Flow"
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 9.4 Page No : 339"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math \n",
"\t\t\t\n",
"#Initialization of variables\n",
"k = 1.5\n",
"r = 40. \t \t\t#cm\n",
"theta = 45. \t\t\t#degrees\n",
"\t\t\t\n",
"#calculations\n",
"vr = -2*k*r*math.cos(math.radians(2*theta))\n",
"vt = 2*k*r*math.sin(math.radians(2*theta))\n",
"\t\t\t\n",
"#results\n",
"print \"velocity in radial direction = %d cm/s\"%(vr)\n",
"print \" velcoity in angular direction = %d cm/s\"%(vt)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"velocity in radial direction = 0 cm/s\n",
" velcoity in angular direction = 120 cm/s\n"
]
}
],
"prompt_number": 2
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 9.14 Page No : 371"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math \n",
"\t\t\t\n",
"#Initialization of variables\n",
"T = 4.5 #m^2/s\n",
"a = 0.6 #diameter - m\n",
"u = 5. \t\t \t#velocity - m/s\n",
"rho = 1000. \t\t\t#kg/m**3\n",
"\t\t\t\n",
"#calculations\n",
"sint = 0.5*(1- T/(2*math.pi*a*u))\n",
"theta = math.degrees(math.asin((sint)))\n",
"dp = 0.5*rho*u**2 *(1 - (2 + T/(2*math.pi*a*u))**2)\n",
"\t\t\t\n",
"#results\n",
"print \"Angle = %.1f or %.1f degrees\"%(theta,180-theta)\n",
"print \" Min guage pressure = %.2f kN/m**2\"%(dp/1000)\n",
"\n",
"#The answer in textbook is wrong. please check"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Angle = 22.4 or 157.6 degrees\n",
" Min guage pressure = -50.15 kN/m**2\n"
]
}
],
"prompt_number": 1
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 9.15 Page No : 371"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math \n",
"\t\t\t\n",
"#Initialization of variables\n",
"T = 6*math.pi\n",
"r = 1./3\n",
"\t\t\t\n",
"#calculations\n",
"vab = T/(4*math.pi)\n",
"vba = T/(2*math.pi)\n",
"w = vab/r\n",
"\t\t\t\n",
"#results\n",
"print \"rate of rotation = %.1f rad/s\"%(w)\n",
"print \"speed of A by B = %.1f m/s\"%(vab)\n",
"print \"speed of B by A = %.1f m/s\"%(vba)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"rate of rotation = 4.5 rad/s\n",
"speed of A by B = 1.5 m/s\n",
"speed of B by A = 3.0 m/s\n"
]
}
],
"prompt_number": 4
}
],
"metadata": {}
}
]
}
|
