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{
"metadata": {
"name": "",
"signature": "sha256:1f6973f8c8d9996abb4c23a2c5352b16bfcd60086af954d2e49808504d3171d0"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"CHapter12-Unsteady Flow"
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Ex1-pg557"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"#calculate Time for which flow into the tank continues after the power failure \n",
"import scipy\n",
"from scipy import integrate\n",
"Q=0.05; ## m^3/s\n",
"d=0.15; ## m^2\n",
"h=8.; ## m\n",
"g=9.81; ## m/s^2\n",
"l=90.; ## m\n",
"f=0.007;\n",
"\n",
"u1=Q/(math.pi/4.*d**2.);\n",
"\n",
"def function(u):\n",
"\tfun=(1./((h*g/l)+(2.*f/d)*u**2))\n",
"\treturn fun\n",
"\n",
"t=scipy.integrate.quad(function,u1,0)\n",
"\n",
"\n",
"print(\"Time for which flow into the tank continues after the power failure is\" )\n",
"print'%s %.1f %s'%(\" \",-t[0],\"s\")\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Time for which flow into the tank continues after the power failure is\n",
" 2.6 s\n"
]
}
],
"prompt_number": 1
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Ex4-pg588"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"#calculate Estimate the height of tank required\n",
"\n",
"print(\"Estimate the height of tank required\")\n",
"\n",
"f=0.006;\n",
"l=1400.; ## m\n",
"g=9.81; ## m/s^2\n",
"d1=0.75; ## m\n",
"d2=3.; ## m\n",
"Q=1.2; ## m^3/s\n",
"a=20.; ## m\n",
"\n",
"K=4*f*l/(2*g*d1);\n",
"\n",
"## 2*K*Y = l*a/(g*A) = 8.919 s^2\n",
"\n",
"## Y=2*K*Y/2*K\n",
"\n",
"Y=8.919/(2*K);\n",
"## When t=0\n",
"\n",
"u0=Q/(math.pi/4*d1**2);\n",
"\n",
"y0=K*u0**2;\n",
"\n",
"C=-Y/K/math.exp(y0/Y);\n",
"\n",
"## To determine the height of the surge tank, we consider the condition y = y_max when u = 0. \n",
"\n",
"## 0 = 1/K*(y_max+Y) + C*exp(y_max/Y)\n",
"\n",
"## From the above eqn we get\n",
"\n",
"y_max=-Y;\n",
"\n",
"H=a-y_max;\n",
"print'%s %.1f %s'%(\"The minimum height of the surge tank =\",H,\"m\")\n",
"\n",
"\n",
"print(\"The actual design height should exceed the minimum required, say 23 m\")"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Estimate the height of tank required\n",
"The minimum height of the surge tank = 22.0 m\n",
"The actual design height should exceed the minimum required, say 23 m\n"
]
}
],
"prompt_number": 2
}
],
"metadata": {}
}
]
}
|
