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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": {}
+ }
+ ]
+} \ No newline at end of file