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{
"metadata": {
"name": "",
"signature": "sha256:57afc22e72f8124575cf49b21448070d3e8a0ab91ff492996411fc02ec3e922d"
},
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"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Chapter 13 : Unsteady-Flow Problems"
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 13.1 Page No : 449"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math \n",
"\t\n",
"#Initialization of variables\n",
"ken = 0.5\n",
"kex = 0.2\n",
"f = 0.0018\n",
"l = 10. \t#ft\n",
"dia = 3. \t#in\n",
"z1 = 8.\n",
"z2 = 5.\n",
"\t\n",
"#calculations\n",
"x1 = ken+kex+f*l*12/dia\n",
"t = 35.5*2/3 *(z1**(3./2) - z2**(3./2))\n",
"\t\n",
"#Results\n",
"print \"Time reqired = %.f s\"%(t)\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Time reqired = 271 s\n"
]
}
],
"prompt_number": 1
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 13.2 Page No : 451"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math \n",
"\t\n",
"#Initialization of variables\n",
"print (\"For steady state, dV/dt = 0\")\n",
"Q = 1600./449 #steady flow rate\n",
"A2 = 0.1963\n",
"g = 32.2\n",
"rp2 = 2000. #speed of rotation - rpm\n",
"\t\n",
"#calculations\n",
"V2 = Q/A2\n",
"hp1 = 32*V2**2 /(2*g) -50\n",
"hp2 = hp1*(rp2/1650)**2\n",
"hpf = 169. \t#ft\n",
"Q = 4.1 \t#cfs\n",
"\t\n",
"#Results\n",
"print \"Steady state flow rate = %.2f cfs\"%(Q)\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"For steady state, dV/dt = 0\n",
"Steady state flow rate = 4.10 cfs\n"
]
}
],
"prompt_number": 2
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 13.3 Page No : 455"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math \n",
"from numpy import *\n",
"\t\n",
"#Initialization of variables\n",
"kl = 0.5\n",
"f = 0.02\n",
"L = 15. \t#length - m\n",
"D = 0.1 \t#ft\n",
"k = 3.5\n",
"g = 9.81\n",
"H = 2.\t#ft\n",
"\t\n",
"#calculations\n",
"k = kl+f*L/D\n",
"V0 = math.sqrt(2*g*H/(1+k))\n",
"Q = array([0.25, 0.5, 0.75])\n",
"V = V0*Q\n",
"Vfun = (2.95+V)/(2.95-V)\n",
"lnVfun = log(Vfun)\n",
"t = 1.129*lnVfun\n",
"\n",
"print \"ln t,s\"\n",
"#Results\n",
"for i in range(len(t)):\n",
" print \"%.3f %.3f\"%(lnVfun[i],t[i])\n",
"\n",
"print (\"Similarly, it can be calculated for L = 150,1500 ft\")\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"ln t,s\n",
"0.511 0.577\n",
"1.100 1.242\n",
"1.949 2.201\n",
"Similarly, it can be calculated for L = 150,1500 ft\n"
]
}
],
"prompt_number": 4
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 13.4 Page No : 462"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math \n",
"\t\n",
"#Initialization of variables\n",
"Q = 30. \t#cfs\n",
"r = 2. \t#ft\n",
"cp = 3200.\n",
"rho = 1.94\n",
"Q2 = 10. \t#cfs\n",
"z = 300. \t#ft\n",
"\t\n",
"#calculations\n",
"V = Q/(math.pi*r**2)\n",
"ph = rho*cp*V/144\n",
"phd = 4000/cp /(2*r) *ph\n",
"dV = (Q2-Q)/(math.pi*r**2)\n",
"dph = -rho*cp*dV/144\n",
"ph3 = rho*cp*V/3 /144\n",
"ph4 = ph3*z*2/cp\n",
"\t\n",
"#Results\n",
"print \"Water hammer pressure = %.1f psi\"%(ph)\n",
"print \" Water hammer pressure in case 2 = %.1f psi\"%(phd)\n",
"print \" Water hammer pressure in case 3 = %.1f psi\"%(dph)\n",
"print \" Pressure at valve in case 4 = %.1f psi\"%(ph3)\n",
"print \" Pressure at 300 ft from reservoir = %.2f psi\"%(ph4)\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Water hammer pressure = 102.9 psi\n",
" Water hammer pressure in case 2 = 32.2 psi\n",
" Water hammer pressure in case 3 = 68.6 psi\n",
" Pressure at valve in case 4 = 34.3 psi\n",
" Pressure at 300 ft from reservoir = 6.43 psi\n"
]
}
],
"prompt_number": 6
}
],
"metadata": {}
}
]
}
|
