{ "metadata": { "name": "", "signature": "sha256:35125badba4aaa9b528697efd91fa6b7acc4c2f1f63bb28106c08928483bd0b9" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Chapter 8 :Viscosity and Viscous Flow" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 8.1 Page No : 157" ] }, { "cell_type": "code", "collapsed": false, "input": [ "\n", "import math \n", "\n", "#initialisation of variables\n", "v= 10.01 \t#poise velocity\n", "g= 32.2 \t#ft/sec**2\n", "d= 30.48 \t#cm\n", "w= 453.6 \t#gm\n", "\n", "#CALCULATIONS\n", "M= round(v*d/w,3)\n", "F= M/g\n", "\n", "#RESULTS\n", "print 'Pound in unit of mass = %.3f lb/ft sec absolute units'%(M)\n", "print ' Pound in unit of force = %.4f slugs/ft sec'%(F)\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Pound in unit of mass = 0.673 lb/ft sec absolute units\n", " Pound in unit of force = 0.0209 slugs/ft sec\n" ] } ], "prompt_number": 1 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 8.2 Page No : 157" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import math \n", "\n", "#initialisation of variables\n", "W= 20. \t#tons/hr oil\n", "l= 1000. \t#ft long\n", "w= 57. \t#lb/ft**3 weighs\n", "kv= 0.0205 \t#ft**2/sec kinematic viscisity\n", "d= 6. \t#in diameter\n", "g= 32.2 \t#ft/sec**2\n", "\n", "#CALCULATIONS\n", "Q= W*2240/(3600*w)\n", "A= math.pi*(d/12)**2/4\n", "v= Q/A\n", "R= v*(d/12)/kv\n", "n= w*kv/g\n", "P= 32*v*n*l/((d/12)**2*w)\n", "HP= P*2240*W/(3600*500)\n", "\n", "#RESULTS\n", "print 'Reynolds number = %.1f '%(R)\n", "print ' H.P required = %.2f hp'%(HP)\n", "\n", "#The answer is a bit different due to rounding off error in textbook\n", "\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Reynolds number = 27.1 \n", " H.P required = 2.26 hp\n" ] } ], "prompt_number": 2 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 8.4 Page No : 159" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import math \n", "\n", "#initialisation of variables\n", "n= 0.0067 \t#poise\n", "l= 10. \t#ft length\n", "w= 62. \t#lb/ft**3 density\n", "d= 1. \t#in\n", "Q= 2. \t#ft**2/sec\n", "sm= 13.57\n", "k1= 0.003\n", "k2= 0.0725\n", "r= 0.3\n", "g= 32.2 \t#ft/sec**2\n", "\n", "#CALCULATIONS\n", "n1= n*30.48/453.6\n", "v= Q*4/(60*math.pi*(d/12)**2)\n", "RN= v*(d/12)*w/n1\n", "f= k1+(k2/RN**r)\n", "hf= 4*f*l*v**2/(2*g*(d/12))\n", "hl= hf*12/sm\n", "\n", "#RESULTS\n", "print 'Head lost in inches of mercury = %.2f in'%(hl)\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Head lost in inches of mercury = 1.37 in\n" ] } ], "prompt_number": 3 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 8.5 Page No : 160" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import math \n", "\n", "#initialisation of variables\n", "n= 0.91 \t#poise\n", "g= 32.2 \t#ft/sec\n", "N= 300. \t#r.p.m\n", "t= 0.01 \t#in\n", "r1= 0.25 \t#ft\n", "r2= 1./6 \t#ft\n", "\n", "#CALCULATIONS\n", "n1= n*30.48/(454*g)\n", "A= N*2*math.pi/60\n", "t1= t/12\n", "hp= math.pi*A**2*n1*(r1**4-r2**4)/(t1*1100)\n", "\n", "#RESULTS\n", "print 'Horse Power lost = %.4f '%(hp)\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Horse Power lost = 0.0201 \n" ] } ], "prompt_number": 1 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 8.6 Page No : 162" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import math \n", "\n", "#initialisation of variables\n", "vw= 0.3 \t#ft/sec\n", "dw= 1. \t#in\n", "da= 12. \t#in\n", "ww= 62.3 \t#lb/ft**3\n", "wa= 0.075 \t#lb/ft**3\n", "nw= 0.01 \t#poise\n", "na= 0.00018 \t#poise\n", "\n", "#CALCULATIONS\n", "va= vw*dw*ww*na/(nw*da*wa)\n", "\n", "#RESULTS\n", "print 'critical velocity of air = %.3f ft/sec'%(va)\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "critical velocity of air = 0.374 ft/sec\n" ] } ], "prompt_number": 5 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 8.7 Page No : 162" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import math \n", "\n", "#initialisation of variables\n", "dm= 0.75 \t#in\n", "dt= 0.25 \t#in\n", "dP= 10.4 \t#lb/in**2\n", "rd= 0.84\n", "w= 62.4 \t#lb/ft**3\n", "g= 32.2 \t#ft/sec**2\n", "\n", "#CALCULATIONS\n", "v1= math.sqrt(dP*144*g/(rd*w*((dm/dt)**4-1)))\n", "Q= math.pi*dm**2*v1*60*w/(4*144*10)\n", "\n", "#RESULTS\n", "print 'Discharge rate = %.1f gal.min'%(Q)\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Discharge rate = 3.9 gal.min\n" ] } ], "prompt_number": 6 } ], "metadata": {} } ] }