path: root/Basic_Fluid_Mechanics_by_Peerless/ch12.ipynb

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  {
   "cells": [
    {
     "cell_type": "heading",
     "level": 1,
     "metadata": {},
     "source": [
      "Chapter 12 : Turbomachines: Further Analysis"
     ]
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Example 12.1 Page No : 461"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%matplotlib inline\n",
      "from matplotlib.pyplot import *\n",
      "import math \n",
      "\t\n",
      "#initialisation of variables\n",
      "d= 0.0764 \t        #lbm/ft**3\n",
      "u= 3.74*10**-7 \t    #lbf sec/ft**2\n",
      "D= 15.           \t#in\n",
      "g= 32.2 \t        #ft/sec**2\n",
      "p= 14.7 \t        #lb/in**2\n",
      "r1= [0.02, 0.04, 0.06, 0.08, 0.1, 1.15]\n",
      "r2= [0.0338, 0.0267, 0.0199, 0.0159, 0.0132, 0.0100]\n",
      "r3= [0.46, 0.92, 1.38, 1.84, 2.3, 2.64]\n",
      "r4= [2.97, 2.35, 1.75, 1.4, 1.16, 0.88]\n",
      "r5= [0.0206, 0.0163, 0.0121, 0.0097, 0.0081, 0.0061]\n",
      "\t\n",
      "#CALCULATIONS\n",
      "re= (d/u)*(p*100*2*math.pi/60)*(D/12)**2/g\n",
      "\t\n",
      "#RESULTS\n",
      "print  'Reynolds Number = %.2e '%(re)\n",
      "print \"m/qwD**3     g0deltaPe/QW**2D**2     m(lbm/sec)      deltap(lbf/ft**2)      deltap(lbf/in**2)\"\n",
      "for i in range(len(r1)):\n",
      "    print \"%7.2f     %8.4f              %7.2f         %7.2f              %8.4f\"%(r1[i],r2[i],r3[i],r4[i],r5[i])\n",
      "\n",
      "plot(r3,r5)\n",
      "xlabel(\"m lbm/sec\")\n",
      "ylabel( \"dPs lbf/ft**2\") \n",
      "suptitle(\"Actual perfomance curve\")\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Populating the interactive namespace from numpy and matplotlib\n",
        "Reynolds Number = 1.53e+06 \n",
        "m/qwD**3     g0deltaPe/QW**2D**2     m(lbm/sec)      deltap(lbf/ft**2)      deltap(lbf/in**2)\n",
        "   0.02       0.0338                 0.46            2.97                0.0206\n",
        "   0.04       0.0267                 0.92            2.35                0.0163\n",
        "   0.06       0.0199                 1.38            1.75                0.0121\n",
        "   0.08       0.0159                 1.84            1.40                0.0097\n",
        "   0.10       0.0132                 2.30            1.16                0.0081\n",
        "   1.15       0.0100                 2.64            0.88                0.0061\n"
       ]
      },
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 1,
       "text": [
        "<matplotlib.text.Text at 0x1c015d0>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
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ExI/8Nmu+Z0/44ANrs601a+Dhh61kI97jtURis9kqVM5UYHRA8TJj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\nIlIlSiQiIlIlSiQiIlIlSiQiIlIl/w/IbjDGd8tQDQAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x1c01590>"
       ]
      }
     ],
     "prompt_number": 1
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Example 12.2 Page No : 464"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import math \n",
      "\t\n",
      "#initialisation of variables\n",
      "psif= 10.2       \t#lbf/in**2 pressure\n",
      "usit= 3.8*10**-7 \t#lbf sec/ft**2 viscosity\n",
      "usif= 3.52*10**-7 \t#lbf sec/ft**2 viscosity\n",
      "Tsit= 530.       \t#R temperature\n",
      "Tsif= 480.          #R temperature\n",
      "wf= 15000.       \t#rev/min speed\n",
      "\t\n",
      "#CALCULATIONS\n",
      "Psit= psif*usit*math.sqrt(Tsit/Tsif)/usif\n",
      "wt= wf*math.sqrt(Tsit/Tsif)\n",
      "\t\n",
      "#RESULTS\n",
      "print  'Pressure in the test cell = %.1f lbf/in**2'%(Psit) \n",
      "print  ' Compressor speed = %.f rev.min'%(wt) \n",
      "\n",
      "# book answer is wrong."
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Pressure in the test cell = 11.6 lbf/in**2\n",
        " Compressor speed = 15762 rev.min\n"
       ]
      }
     ],
     "prompt_number": 2
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Example 12.3 Page No : 474"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import math \n",
      "\t\n",
      "#initialisation of variables\n",
      "w= 62.3 \t#lbf/ft**3 weight\n",
      "d= 0.375 \t#in diameter\n",
      "ro= 0.75 \t#ft radius\n",
      "l= 1.25 \t#ft length\n",
      "b= 120. \t#degrees angle\n",
      "do= 0.25 \t#in diameter\n",
      "p= 750. \t#lbf/in**2\n",
      "g= 32.1 \t#ft/sec**2\n",
      "f= 0.03     # friction factor\n",
      "f1= 0.9\n",
      "f2= 0.3\n",
      "w1= 60. \t#rad/sec\n",
      "\t\n",
      "#CALCULATIONS\n",
      "Q= math.sqrt(((p/w)+((60*ro)**2/(2*g))+do)*math.pi**2*g*(d/12)**4/((d/do)**4-1+(l*f/(d/12))+f1+f2))*0.353\n",
      "Vwo= w1*ro+(4*Q/(math.pi*(do/12)**2))*math.cos(math.radians(b))\n",
      "C= w*Q*Vwo*ro/g\n",
      "\t\n",
      "#RESULTS\n",
      "print  ' Flow Rate = %.4f ft**3/sec'%(Q) \n",
      "print  ' Vwo = %.2f ft/sec'%(Vwo) \n",
      "print  ' Driving Torque = %.3f lbf ft'%(C) \n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        " Flow Rate = 0.0160 ft**3/sec\n",
        " Vwo = 21.56 ft/sec\n",
        " Driving Torque = 0.502 lbf ft\n"
       ]
      }
     ],
     "prompt_number": 3
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Example 12.4 Page No : 491"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "\t\n",
      "#initialisation of variables\n",
      "W= 38.   \t#rev/sec speed\n",
      "w= 62.4 \t#lbf/ft**3 density\n",
      "m= 2000. \t#lbm/sec flow rate\n",
      "g= 32.2 \t#ft/sec**2\n",
      "ps= 5000. \t#lbf/ft**2 pressure rise\n",
      "S3= 4.6\n",
      "e= 0.91\n",
      "\t\n",
      "#CALCULATIONS\n",
      "S1= W*(w*m**2/(g*ps)**3)**0.25\n",
      "D= S3*(m**2/(w*g*ps))**0.25\n",
      "\t\n",
      "#RESULTS\n",
      "print  ' S1 = %.3f'%(S1)  \n",
      "print  ' Diameter = %.2f ft'%(D)  \n",
      "print  ' efficiency = %.2f '%(e)\n",
      "\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        " S1 = 0.594\n",
        " Diameter = 3.65 ft\n",
        " efficiency = 0.91 \n"
       ]
      }
     ],
     "prompt_number": 4
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Example 12.5 Page No : 495"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import math \n",
      "\t\n",
      "#initialisation of variables\n",
      "d= 6.    \t#in diameter\n",
      "f= 0.25\n",
      "l= 1200. \t#ft long\n",
      "p= 55.   \t#lbm/ft**3\n",
      "w= 740.  \t#rev/min\n",
      "g= 32.2 \t#ft/sec**2\n",
      "n= 0.87     # efficiency\n",
      "d1= 1.78 \t#ft\n",
      "\t\n",
      "#CALCULATIONS\n",
      "D= (0.13*math.pi**2*(d/12)**5/(8*f*l*0.012**2))**0.25*d1\n",
      "m= 0.012*p*(w*2*math.pi/60)*D**3\n",
      "dps= 0.13*p*(w*2*math.pi*D/60)**2/g\n",
      "P= m*10*dps/(p*n)\n",
      "\t\n",
      "#RESULTS\n",
      "print  ' Diameter = %.2f ft'%(D) \n",
      "print  ' Mass flow rate = %.1f lbm/sec'%(m) \n",
      "print  ' pressure rise = %.1f lbf/ft**2'%(round(dps,-1))\n",
      "print  ' shaft power = %.2e ft lbf/sec'%(P)\n",
      "\n",
      "# rounding off error"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        " Diameter = 1.04 ft\n",
        " Mass flow rate = 57.3 lbm/sec\n",
        " pressure rise = 1440.0 lbf/ft**2\n",
        " shaft power = 1.72e+04 ft lbf/sec\n"
       ]
      }
     ],
     "prompt_number": 5
    }
   ],
   "metadata": {}
  }
 ]
}