{
 "metadata": {
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  "signature": "sha256:85e9fe66492d8e2bf21b397989dbba9327240cd1300820fe26869c1390e3cf15"
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 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "heading",
     "level": 1,
     "metadata": {},
     "source": [
      "Chapter1-Introduction fluid mechanics"
     ]
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Ex1-pg13"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import math\n",
      "##initialization of new variables\n",
      "#calculate density \n",
      "M=29. ## Molecular weight of air\n",
      "R=8314.3 ## J/mol K  Gas constant\n",
      "T=300. ##K  Temperature\n",
      "P=1. ##kg/cm^2  Pressure\n",
      "g=9.8 ##m/s^2  Acceleration due to gravity\n",
      "##calculations\n",
      "R=R/M\n",
      "P=P*g*10**4\n",
      "rho=P/(R*T)\n",
      "##result\n",
      "print'%s %.2f %s'%(' Density = ',rho,' kg/m^3 ')\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        " Density =  1.14  kg/m^3 \n"
       ]
      }
     ],
     "prompt_number": 1
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Ex2-pg13"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import math\n",
      "##initialization of new variables\n",
      "#calculate shear stress\n",
      "t=2. ##cm  thickness\n",
      "U=3. ##m/s   Velocity\n",
      "mu=0.29 ##kg/m s   Coefficient of Viscocity\n",
      "##calculations\n",
      "tau=mu*U/(t*10**-2)\n",
      "##results\n",
      "print'%s %.2f %s'%(' Shear = ',tau,' N/m^2')\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        " Shear =  43.50  N/m^2\n"
       ]
      }
     ],
     "prompt_number": 2
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Ex3-pg13"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import  math\n",
      "##initialization of new variables\n",
      "#calculate pressure differnce\n",
      "sigma=2.5*10**-2 ##N/m\n",
      "D=10 ##cm\n",
      "##calculations\n",
      "R=D/2.\n",
      "dP=2.*sigma/(R*10**-2)\n",
      "##result\n",
      "print'%s %.2f %s'%('The pressure difference is = ',dP,' N/m^2')\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "The pressure difference is =  1.00  N/m^2\n"
       ]
      }
     ],
     "prompt_number": 3
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Ex4-pg15"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import  math\n",
      "##initialization of new variables\n",
      "#calculate rise of water and rise of mercury\n",
      "R=1. ##mm\n",
      "sigma=0.073 ##N/m\n",
      "theta=0. ##degrees\n",
      "rho=1000. ##kg/m^3\n",
      "g=9.8 ##m/s^2\n",
      "##calculations\n",
      "theta=theta*math.pi/180 ##radians\n",
      "h=2*sigma*math.cos(theta)/(rho*g*R*10**-3)\n",
      "##result\n",
      "print'%s %.2f %s'%('The rise of water = ',h,' m')\n",
      "R=1. ##mm\n",
      "sigma=0.48 ##N/m\n",
      "theta=130. ##degrees\n",
      "rho=13600. ##kg/m^3\n",
      "g=9.8 ##m/s^2\n",
      "##calculations\n",
      "theta=theta*math.pi/180 ##radians\n",
      "h=2*sigma*math.cos(theta)/(rho*g*R*10**-3)\n",
      "##result\n",
      "print'%s %.2e %s'%('\\n The rise of mercury = ',h,' m')\n",
      "\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "The rise of water =  0.01  m\n",
        "\n",
        " The rise of mercury =  -4.63e-03  m\n"
       ]
      }
     ],
     "prompt_number": 4
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Ex5-pg15"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import  math\n",
      "##initialization of new variables\n",
      "#calculate chenge in pressure and change in volume\n",
      "E=2.34*10**9 ##N/m^2  Modulus of Elasticity\n",
      "d=1 ##km    depth\n",
      "rho=1000. ##kg/m^3   density\n",
      "g=9.8 ##m/s^2    Acceleration due to gravity\n",
      "##calculations\n",
      "d=d*1000. \n",
      "dp=rho*g*d\n",
      "dVV=dp/E\n",
      "##result\n",
      "print'%s %.2e %s'%('The change in pressure is ',dp,' N/m^2 ')\n",
      "print'%s %.3e %s'%('\\n Change in volume is ',dVV,'')\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "The change in pressure is  9.80e+06  N/m^2 \n",
        "\n",
        " Change in volume is  4.188e-03 \n"
       ]
      }
     ],
     "prompt_number": 5
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Ex6-pg16"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import  math\n",
      "##initialization of new variables\n",
      "#calculate speed of sound in air and speed of sound in sea water\n",
      "T=300. ##K\n",
      "gama=1.4\n",
      "R=286.6\n",
      "##calculation\n",
      "## for air\n",
      "a=math.sqrt(gama*R*T)\n",
      "##result\n",
      "print'%s %.2f %s'%('The speed of sound in air is ',a,' m/s ')\n",
      "## for sea water\n",
      "E=2.34*10**9 ## N/m^2\n",
      "rho=1000. ##kg/cm^2\n",
      "a=math.sqrt(E/rho)\n",
      "##result\n",
      "print'%s %.2f %s'%(' \\n The speed of sound in sea waer is ',a,' m/s ')\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "The speed of sound in air is  346.95  m/s \n",
        " \n",
        " The speed of sound in sea waer is  1529.71  m/s \n"
       ]
      }
     ],
     "prompt_number": 6
    }
   ],
   "metadata": {}
  }
 ]
}