{ "metadata": { "name": "", "signature": "sha256:ba867fe9fbc8067f0691ccade40c2ad894318b7fde36802aa91fc404852bb7c8" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "2: Viscosity" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example number 2.1, Page number 11" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#importing modules\n", "import math\n", "from __future__ import division\n", "\n", "#Variable declaration\n", "eta=8.9*10**-4; #coefficient of viscosity of water(Ns/m**2)\n", "a=0.054*10**-2; #radius of capillary tube(m)\n", "l=56*10**-2; #length of capillary tube(m)\n", "h=34*10**-4; #height of pressure head(m)\n", "t=5*60; #time of flow(s)\n", "g=9.8;\n", "rho=10**3; #density of water(kg/m**3)\n", "\n", "#Calculation\n", "V=math.pi*h*g*rho*(a**4)/(8*eta*l); #volume of water in 1 sec(m**3)\n", "V5=V*t; #volme of water flowing in 5 minutes(m**3)\n", "m=V5*rho; #mass of water flowing in 5 minutes(kg)\n", "\n", "#Result\n", "print \"mass of water flowing in 5 minutes is\",round(m*10**3,4),\"g\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "mass of water flowing in 5 minutes is 0.6697 g\n" ] } ], "prompt_number": 5 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example number 2.2, Page number 12" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#importing modules\n", "import math\n", "from __future__ import division\n", "\n", "#Variable declaration\n", "t1=6; #time taken by water(s)\n", "t2=3.6; #time taken by alcohol(s)\n", "rho1=10**3; #density of water(kg/m**3)\n", "rho2=800; #density of alcohol(kg/m**3)\n", "eta1=8.9*10**-4; #viscosity of water(Ns/m**2)\n", "\n", "#Calculation\n", "eta2=t2*rho2*eta1/(t1*rho1); #viscosity of alcohol(Ns/m**2)\n", "\n", "#Result\n", "print \"viscosity of alcohol is\",eta2*10**4,\"*10**-4 Ns/m**2\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "viscosity of alcohol is 4.272 *10**-4 Ns/m**2\n" ] } ], "prompt_number": 7 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example number 2.3, Page number 12" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#importing modules\n", "import math\n", "from __future__ import division\n", "\n", "#Variable declaration\n", "sigma=1.26*10**-3; #density of medium(kg/m**3)\n", "eta=2*10**-5; #viscosity of medium(Ns/m**2)\n", "r=0.2*10**-2; #radius of body(m)\n", "rho=8*10**-3; #density of body(kg/m**3)\n", "g=9.8;\n", "\n", "#Calculation\n", "v=2*(r**2)*(rho-sigma)*g/(9*eta); #terminal velocity(m/s)\n", "\n", "#Result\n", "print \"terminal velocity is\",round(v*10**3,4),\"*10**-3 m/s\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "terminal velocity is 2.9356 *10**-3 m/s\n" ] } ], "prompt_number": 12 } ], "metadata": {} } ] }