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Diffstat (limited to 'Mechanics_Of_Fluids/ch13.ipynb')
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diff --git a/Mechanics_Of_Fluids/ch13.ipynb b/Mechanics_Of_Fluids/ch13.ipynb new file mode 100755 index 00000000..7de1214f --- /dev/null +++ b/Mechanics_Of_Fluids/ch13.ipynb @@ -0,0 +1,295 @@ +{ + "metadata": { + "name": "" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Chapter 13 : Varying Flow in Open Channels" + ] + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 13.1.1 pageno : 413" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "\n", + "b= 15. \t\t\t#in\n", + "h= 1.25 \t\t\t#in\n", + "h1= 2.75 \t\t\t#in\n", + "g= 32.2 \t\t\t#ft/sec**2\n", + "\n", + "#CACULAIONS\n", + "Q= 3.09*(b/12.)*(h/12.)**1.5\n", + "u1= Q*144./(b*h1)\n", + "H= (u1**2./(2.*g))*12.\n", + "h2= H+h\n", + "Q1= 3.09*(b/12)*(h2/12.)**1.5\n", + "\n", + "#RESULTS\n", + "print ' Q = %.2f ft**3/sec'%Q\n", + "print ' Rate of flow= %.4f ft**3/sec'%(Q1)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " Q = 0.13 ft**3/sec\n", + " Rate of flow= 0.1359 ft**3/sec\n" + ] + } + ], + "prompt_number": 2 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 13.3.1 pageno : 418" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import math \n", + "#initialisation of variables\n", + "C= 100. \t\t\t#ft**0.5/sec\n", + "m= 2. \t\t\t#ft\n", + "i= 0.0003\n", + "y1= 2.6 \t\t\t#ft\n", + "y2= 2.5 \t\t\t#ft\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "u= C*math.sqrt(m*i)\n", + "f= u**2./(2.*32.2)\n", + "x= i/(1-f)\n", + "x1= round((y1-y2)/x,-1)\n", + "\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' Distance= %.f ft'%(x1)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " Distance= 300 ft\n" + ] + } + ], + "prompt_number": 3 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 13.4.1 pageno : 420" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import math \n", + "#initialisation of variables\n", + "\n", + "u1= 0.5 \t\t\t#ft**3/sec\n", + "b= 5. \t\t\t#ft\n", + "w= 4. \t\t\t#ft\n", + "g= 32.2\t\t\t#ft/sec**2\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "u= u1*12.*12/(b*w)\n", + "s= math.sqrt(g*w/12.)\n", + "F= u/s\n", + "r= 0.5*(math.sqrt(1.+8*F**2)-1)\n", + "y= r*w\n", + "yc= (((w*y*(y+w)))/2.)**(1/3.)\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "print ' critical depth= %.2f in'%(yc)\n", + "\n", + "# answer may vary because of rounding error" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " critical depth= 4.26 in\n" + ] + } + ], + "prompt_number": 4 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 13.4.2 page no : 421" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math \n", + "#initialisation of variables\n", + "\n", + "w= 2. \t\t\t#ft\n", + "F= 3.\n", + "d= 2. \t\t\t#ft\n", + "g= 32.2 \t\t\t#ft/sec**2\n", + "w1= 62.3 \t\t\t#lbf/ft**3\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "r= 0.5*(math.sqrt(1+8.*F**2.)-1)\n", + "y1= w/r\n", + "dy= w-y1\n", + "h1= dy**3/(4*w*y1)\n", + "u1= F*math.sqrt(g*y1)\n", + "W= w1*y1*u1*d*h1/550.\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' Horse-power dissipated = %.2f h.p'%(W)\n", + "\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " Horse-power dissipated = 1.11 h.p\n" + ] + } + ], + "prompt_number": 5 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 13.5.1 page no : 425" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import math \n", + "#initialisation of variables\n", + "\n", + "Q= 20. \t\t\t#ft/sec\n", + "h= 12. \t\t\t#in\n", + "g= 32.2 \t\t\t#ft/sec**2\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "F= Q/math.sqrt(g*h/12.)\n", + "r= 0.5*(math.sqrt(1+8.*F**2)-1)\n", + "y= h*r/12.\n", + "s=(y-(h/12.))**3*12./(4.*h*y)\n", + "Q1= s*62.3*Q/550.\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' Rate of flow= %.2f in'%(Q1)\n", + "\n", + "# Answers may vary because of rounding error" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " Rate of flow= 5.43 in\n" + ] + } + ], + "prompt_number": 7 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 13.6.1 pageno : 427" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import math \n", + "#initialisation of variables\n", + "\n", + "d= 0.94\n", + "b= 20. \t\t\t#ft\n", + "h= 5. \t\t\t#ft\n", + "w= 40. \t\t\t#ft\n", + "g= 32.2 \t\t\t#ft/sec**2\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "Q= 0.309*d*b*h**1.5\n", + "u=Q/(h*w)\n", + "h1= h+(u**2/(2*g))\n", + "Q1= 0.309*d*b*h1**1.5\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' Rate of flow= %.1f ft**3/sec'%(Q1)\n", + "\n", + "# Answer may vary because of rounding error." + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " Rate of flow= 65.0 ft**3/sec\n" + ] + } + ], + "prompt_number": 9 + } + ], + "metadata": {} + } + ] +}
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