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author: hardythe1 2015-04-07 15:58:05 +0530
committer: hardythe1 2015-04-07 15:58:05 +0530
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+{
+ "metadata": {
+  "name": "",
+  "signature": "sha256:902aab6334eafa9c076aa9433328b057ddfc9db48d6910774ed6bb3aa051c994"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+  {
+   "cells": [
+    {
+     "cell_type": "heading",
+     "level": 1,
+     "metadata": {},
+     "source": [
+      "Chapter 11 - Thermodynamics of Fluid flow"
+     ]
+    },
+    {
+     "cell_type": "heading",
+     "level": 2,
+     "metadata": {},
+     "source": [
+      "Example 1 - Pg 181"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "#calculate the reynolds number\n",
+      "#Initialization of variables\n",
+      "d=2.067 #in\n",
+      "P=20 #psia\n",
+      "R=53.35 \n",
+      "T=600 #R\n",
+      "mu=0.0486 #lb /ft.hr\n",
+      "v=50 #ft/s\n",
+      "#calculations\n",
+      "rho=P*144./(R*T)\n",
+      "Re=d*v*rho*3600./(12*mu)\n",
+      "#results\n",
+      "print '%s %d' %(\"Reynolds number = \",Re)\n",
+      "print '%s' %('The answers are a bit different due to rounding off error in textbook')\n"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Reynolds number =  57398\n",
+        "The answers are a bit different due to rounding off error in textbook\n"
+       ]
+      }
+     ],
+     "prompt_number": 1
+    },
+    {
+     "cell_type": "heading",
+     "level": 2,
+     "metadata": {},
+     "source": [
+      "Example 2 - Pg 184"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "#calculate the change in pressure and the percent change\n",
+      "#Initialization of variables\n",
+      "eps=0.00015 \n",
+      "D=2.067/12. #ft\n",
+      "l=100 #ft\n",
+      "P=20 #psia\n",
+      "R=53.35 \n",
+      "T=600 #R\n",
+      "mu=0.0486 #lb /ft.hr\n",
+      "v=50 #ft/s\n",
+      "g=32.17 #ft/s^2\n",
+      "#calculations\n",
+      "rho=P*144/(R*T)\n",
+      "Re=D*v*rho*3600./(mu)\n",
+      "ed=eps/D\n",
+      "print '%s' %(\"From figure 11.5\")\n",
+      "f=0.0235\n",
+      "dp=f*l*rho*v*v /(2*D*g) /144.\n",
+      "change=dp/P *100.\n",
+      "#results\n",
+      "print '%s %.2f %s' %(\"Change in pressure =\",dp,\"psi\")\n",
+      "print '%s %.2f %s' %(\"\\n Percentage change in pressure =\",change,\" percent\")\n"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "From figure 11.5\n",
+        "Change in pressure = 0.33 psi\n",
+        "\n",
+        " Percentage change in pressure = 1.66  percent\n"
+       ]
+      }
+     ],
+     "prompt_number": 2
+    },
+    {
+     "cell_type": "heading",
+     "level": 2,
+     "metadata": {},
+     "source": [
+      "Example 3 - Pg 190"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "#calculate the final pressure\n",
+      "#Initialization of variables\n",
+      "v1=60. #ft/s\n",
+      "d1=10. #in\n",
+      "d2=15. #in\n",
+      "P=15. #psia\n",
+      "R=53.35\n",
+      "T=540. #R\n",
+      "g=32.17 #ft/s^2\n",
+      "v1=60. #ft/s\n",
+      "#calculations\n",
+      "v2=v1*d1*d1 /d2/d2\n",
+      "rho=P*144/(R*T)\n",
+      "dp=rho*(v2*v2 -v1*v1)/(2*g) /144.\n",
+      "p2=P-dp\n",
+      "#results\n",
+      "print '%s %.2f %s' %(\"Final pressure =\",p2,\" psia\")\n"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Final pressure = 15.02  psia\n"
+       ]
+      }
+     ],
+     "prompt_number": 3
+    },
+    {
+     "cell_type": "heading",
+     "level": 2,
+     "metadata": {},
+     "source": [
+      "Example 4 - Pg 192"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "#calculate the change in entropy\n",
+      "#Initialization of variables\n",
+      "J=778 #ft.lb/Btu\n",
+      "D=2.067/12. #ft\n",
+      "l=100 #ft\n",
+      "P=20 #psia\n",
+      "R=53.35 \n",
+      "T=600 #R\n",
+      "mu=0.0486 #lb /ft.hr\n",
+      "v=50 #ft/s\n",
+      "g=32.17 #ft/s^2\n",
+      "#calculations\n",
+      "f=0.0235\n",
+      "ds=f*v*v *l /(J*2*D*g*T)\n",
+      "#results\n",
+      "print '%s %.6f %s' %(\"Change in entropy =\",ds,\" Btu/lbm R\")\n"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Change in entropy = 0.001136  Btu/lbm R\n"
+       ]
+      }
+     ],
+     "prompt_number": 4
+    },
+    {
+     "cell_type": "heading",
+     "level": 2,
+     "metadata": {},
+     "source": [
+      "Example 5 - Pg 193"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "#calculate the pressure, enthalpy, entropy, temperature and density of the gas\n",
+      "#Initialization of variables\n",
+      "v=210 #ft/s\n",
+      "g=32.17 #ft/s^2\n",
+      "p=200. #psia\n",
+      "z=5. #ft\n",
+      "x=2.361\n",
+      "h=1210.3\n",
+      "J=778.\n",
+      "#calculations\n",
+      "P0=p + v*v /(2*g*144*x) + z/(144*x)\n",
+      "h0=h + v*v /(2*J*g) +z/J\n",
+      "S=1.5594 #units/lb\n",
+      "S0=S\n",
+      "t0=401.9 #F\n",
+      "v0=2.342 #cu ft/lb\n",
+      "rho0=1./v0\n",
+      "#results\n",
+      "print '%s %d %s' %(\"Pressure =\",P0,\"psia\")\n",
+      "print '%s %.2f %s' %(\"\\n Enthalpy =\",h0,\" Btu/lb\")\n",
+      "print '%s %.4f %s' %(\"\\n Entropy  =\",S0,\"units/lb\")\n",
+      "print '%s %.1f %s' %(\"\\n Temperature =\",t0,\" F\")\n",
+      "print '%s %.3f %s' %(\"\\n Density =\",rho0,\" lb/cu ft\")\n"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Pressure = 202 psia\n",
+        "\n",
+        " Enthalpy = 1211.19  Btu/lb\n",
+        "\n",
+        " Entropy  = 1.5594 units/lb\n",
+        "\n",
+        " Temperature = 401.9  F\n",
+        "\n",
+        " Density = 0.427  lb/cu ft\n"
+       ]
+      }
+     ],
+     "prompt_number": 5
+    },
+    {
+     "cell_type": "heading",
+     "level": 2,
+     "metadata": {},
+     "source": [
+      "Example 6 - Pg 197"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "#calculate the exit temperature\n",
+      "#Initialization of variables\n",
+      "%matplotlib inline\n",
+      "import matplotlib\n",
+      "from matplotlib import pyplot\n",
+      "import math\n",
+      "p1=40. #psia\n",
+      "t1=80. #F\n",
+      "p2=30. #psia\n",
+      "ar=0.5 #sq ft\n",
+      "v1=200. #ft/s\n",
+      "R=53.35\n",
+      "cp=0.24\n",
+      "g=32.17\n",
+      "J=778.\n",
+      "#calculations\n",
+      "rho1=144*p1/(R*(t1+460))\n",
+      "G=rho1*v1\n",
+      "h10= cp*t1 + p1*p1 /(2*g*rho1*rho1 *J)\n",
+      "t2=78 #F\n",
+      "h2=cp*t2\n",
+      "g2=h10-h2\n",
+      "rho2=math.sqrt(p1*p1 /(2*g*g2*J))\n",
+      "P2=rho2*R*(t2+460)/144. \n",
+      "ds2=cp*math.log((t2+460.)/(t1+460.)) - R/J *math.log(P2/p1)\n",
+      "t3=77 #F\n",
+      "h3=cp*t3\n",
+      "g3=h10-h3\n",
+      "rho3=math.sqrt(p1*p1 /(2*g*g3*J))\n",
+      "P3=rho3*R*(t3+460)/144. \n",
+      "ds3=cp*math.log((t3+460.)/(t1+460.)) - R/J *math.log(P3/p1)\n",
+      "t4=79 #F\n",
+      "h4=cp*t4\n",
+      "g4=h10-h4\n",
+      "rho4=math.sqrt(p1*p1 /(2*g*g4*J))\n",
+      "P4=rho4*R*(t4+460)/144. \n",
+      "ds4=cp*math.log((t4+460)/(t1+460.)) - R/J *math.log(P4/p1)\n",
+      "h5=18.62\n",
+      "t5=h5/cp\n",
+      "Gv=([h4, h2, h3])\n",
+      "Pv=([P4, P2, P3])\n",
+      "Sv=([ds4, ds2, ds3])\n",
+      "pyplot.figure(1)\n",
+      "pyplot.title(\"Fanno line diagram , Enthalpy vs Entropy\")\n",
+      "pyplot.xlabel(\"Entropy\")\n",
+      "pyplot.ylabel(\"Enthalpy Btu/lb\")\n",
+      "pyplot.plot(Sv,Gv)\n",
+      "\n",
+      "pyplot.figure(2)\n",
+      "pyplot.title(\"Fanno line diagram , Pressure vs Entropy\")\n",
+      "pyplot.xlabel(\"Entropy\")\n",
+      "pyplot.ylabel(\"Pressure psia\")\n",
+      "pyplot.plot(Sv,Pv)\n",
+      "#results\n",
+      "print '%s %.1f %s' %(\"Temperature at exit =\",t5,\" F\")\n"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Populating the interactive namespace from numpy and matplotlib\n",
+        "Temperature at exit = 77.6  F"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stderr",
+       "text": [
+        "WARNING: pylab import has clobbered these variables: ['f']\n",
+        "`%matplotlib` prevents importing * from pylab and numpy\n"
+       ]
+      },
+      {
+       "metadata": {},
+       "output_type": "display_data",
+       "png": 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3RBKHOO5HcoiZvQd8CDwPzAOeylUAIlI4u+8ehqffdNNQOnlc/S4lB6rSa+tN\nwnAmz7h7j2j4+OPd/cRCBJiJSiQiNffCC3DiibDrrnDDDdCqVdwRSaHEcUHiD+7+OVDPzOq7+2Rg\n51wFICLx2HPPUDrZeONQOnniibgjklJVlRLJs8BhwFWEcbM+BXZ29z75Dy8zlUhEcqO8PJRO9twT\nrr8eWraMOyLJpzhKJL8CvgH+ADxNGB7l4FwFICLxKyuDN9+EZs2gWzd48sm4I5JSogsSRWQdkyeH\n0slee8Ff/6rSSW0UR6+tI8zsPTNbYWZfRY8VuQpARIrLXnuF0knjxqF08vTTcUckxa4qbSRzgYPc\n/d3ChFR1KpGI5Nezz8LJJ0O/fuH2vi1S3s9USk0cbSSfFGMSEZH869cvlE7q1w89uyZNijsiKUaZ\nxtqqGOJtT2Bz4FHg+2iZu/vD+Q8vM5VIRApn0iQ45RTYf3+49lrYSAMllaxClkgOBg4i3I9kFbBf\nNH8Q6rUlUufst18onbiH0smzz8YdkRSLqrSR7O7uL1W2LA4qkYjE4+mn4dRTYcAAGDUKmjePOyKp\njjjaSG6s4jIRqSP694eZM+H770Pp5Lnn4o5I4tQg3Qoz2xXoA2xmZn8EKrJXc6B+AWITkSLWogXc\ncUe4eHHQIDjkEBg5MlzUKHVLphJJI35KGs2BZtFjBXBk/kMTkVJw4IGh7WTlSthhB3g+tptvS1yq\n0kbS0d3nFSac6lEbiUhxeeIJOP10OOwwuPpqaNo07ogklTjaSBqb2W1m9oyZTY4eqhEVkfUcdFBo\nO1m+PJROXngh7oikEKp6P5KbgenAj9Fid/dpeY6tUiqRiBSvxx+HM86AgQPhyithww3jjkgq5LpE\nUpVEMs3dd8rVCXNJiUSkuC1dCkOHwquvwrhx4Q6NEr84EskI4DPgYeC7iuXu/kWugqgpJRKR0vDo\no3DmmfCb38Dll6t0Erc4Esk8YL2N3L1TroKoKSUSkdLx+edw1lkwbRrceSf0if3WeHVXwRNJjQ9s\nNhYYAHzq7t2iZb2Bm4CGwGrgTHefmmLflsDtwPaEJHaiu7+SYjslEpES89BD8LvfwXHHwWWXQZMm\ncUdU9xSs15aZnZcwPTBp3ZVVOPY4oH/SslHAJe7eAxgWzadyA/Cku28LdAc0+rBILXHEEeG6k/nz\noUcPeGW9n4hSajJ1/z06YfqipHUHVHZgd38RWJa0eDFQcUeDlsCi5P3MrAWwh7uPjY6z2t2XV3Y+\nESkdm24oL77eAAAOBklEQVQK990Hf/kL/OpXcP758O23cUclNVWV60hy6QJgtJnNB64BLkyxTSfg\nMzMbZ2bTo2tY1DQnUgsNHBhKJ3PnQs+eoXeXlJ60Y23lyR3AUHd/JKouGwvsmyKmnsDv3H2qmV1P\nSEDDUh1wxIgRa6fLysooKyvLQ9giki+bbQYPPAD33x/G6xoyBEaMCLf6ldwoLy+nvLw8b8fPdGOr\nH4FvotkmhHuSVGji7pUmITPrCExMaGxf4e4bRdMGfOnuLZL22Rx4uaJXmJntDlzg7gelOL4a20Vq\nkSVLwkWMs2eHnl29esUdUe1UsMZ2d6/v7s2jR4OE6eZVSSJpvG9mfaPpvYE5Kc77CbDAzDpHi/oB\nb9fwfCJSQtq0Cb26Lr44DLfy5z/Dd99Vvp/EK5/dfycAfYHWwBJC1dRMYAzQmFDCOdPdZ5hZW+A2\ndx8Q7bsDoftvI2AuMCRVg7tKJCK11yefhAEg586F8eNDG4rkRslcR1IISiQitZs7/POf8Mc/wmmn\nwSWXQKNGcUdV+uIY/VdEJBZm4cLFN94Ij169YMaMuKOSZEokIlL0ttgCHnsMzjkH9t8/9Or6/vu4\no5IKSiQiUhLM4IQTQolk6lTYZZdQSpH4KZGISEnZcstwJ8azz4Z99w3jdf3wQ9xR1W1qbBeRkrVw\nIZxySrj+ZPx46NYt7ohKgxrbRUQi7drBk0+G0YT33huuuAJWr447qrpHJRIRqRUWLICTTw53Zbzz\nTujaNe6IipdKJCIiKbRvD08/HS5i3GsvuOoqlU4KRSUSEal15s+Hk06C5ctD6WS77eKOqLioRCIi\nUokOHWDSpJBM+vaFkSNVOsknlUhEpFabNy8klJUrQ+lkm23ijih+KpGIiFRDx47wzDMwaBDssQdc\ncw38+GPcUdUuKpGISJ3x4Ydw4olhaPpx46BLl7gjiodKJCIiNdSpE/znP3DMMbDbbjB6tEonuaAS\niYjUSXPnhtLJ6tWhdNK5c+X71BYqkYiI5MBWW8HkyXDUUdCnD1x/PaxZE3dUpUklEhGp895/H4YM\nCSMMjx0LW28dd0T5pRKJiEiObb01lJfD4YfDL38JN96o0kl1qEQiIpJgzpxQOmnQILSd/PzncUeU\neyqRiIjkUefO8MILcOih0Ls3jBmj0kllVCIREUlj9mwYPBg22CC0nXTqFHdEuaESiYhIgXTpAi+9\nBAceGEonN9+s0kkqKpGIiFTBu++G0kmzZnDHHWHolVKlEomISAy23Rb++1/Ybz/o1QtuvRX0OzZQ\niUREpJrefjuUTjbeGG6/PQxbX0pUIhERidn228PLL4c7Me60E9x2W90unahEIiKShbfeCqWT1q1D\nQmnfPu6IKqcSiYhIEenaNZROdt8devYM3YTr2u/bvJVIzGwsMAD41N27Rct6AzcBDYHVwJnuPjXF\nvvOAFcCPwA/u3jvNOVQiEZGi8eaboXSy+ebw979Du3ZxR5RaKZVIxgH9k5aNAi5x9x7AsGg+FQfK\n3L1HuiQiIlJsuneHKVPCeF09e4Zb+9aF37p5SyTu/iKwLGnxYqBFNN0SWJThEDnLliIihdKwIQwb\nBpMmhaHpDz4YPv447qjyq9BtJBcAo81sPnANcGGa7Rx41sxeM7NTChadiEiO7LgjvPoq7LxzmL7r\nrtpbOslrry0z6whMTGgjeRYY4+6PmNlA4FR33zfFflu4+2Iz2xR4BjgrKuEkb6c2EhEpejNmwKBB\n4Wr4W2+FLbaIN55ct5E0yNWBqqi3u/eLph8Ebk+1kbsvjv5+ZmaPAL2B9RIJwIgRI9ZOl5WVUVZW\nlsNwRUSy16MHvPYaXH457LADXHdduG+8FagCv7y8nPLy8rwdv9AlkunAH9z9eTPbB7ja3Xsl7bMh\nUN/dvzKzpsAk4FJ3n5Ti+CqRiEhJmTYtlE623hpuuSX08Cq0kum1ZWYTgP8BXcxsgZkNAU4FRpnZ\n68Dl0Txm1tbM/hXtujnwYrTNFOCJVElERKQU7bRTSCbbbx9KJxMmlH7bia5sFxGJydSp4bqTLl3C\nEPVt2hTmvCVTIhERkcx69Qqlky5dQunk/vvjjqhmVCIRESkCU6aE0knXruH2vpttlr9zqUQiIlIL\n7bJL6CbcqVO4Qv7hh+OOqOpUIhERKTKvvAJz5sAJJ+Tn+LkukSiRiIjUMaraEhGRoqJEIiIiWVEi\nERGRrCiRiIhIVpRIREQkK0okIiKSFSUSERHJihKJiIhkRYlERESyokQiIiJZUSIREZGsKJGIiEhW\nlEhERCQrSiQiIpIVJRIREcmKEomIiGRFiURERLKiRCIiIllRIhERkawokYiISFaUSEREJCtKJCIi\nkhUlEhERyUreEomZjTWzJWY2M2FZbzN71cxmmNlUM+uVYf/60XYT8xWjiIhkL58lknFA/6Rlo4BL\n3L0HMCyaT+ds4B3A8xNe/MrLy+MOocZKOXZQ/HFT/LVL3hKJu78ILEtavBhoEU23BBal2tfM2gEH\nArcDlq8Y41bKb8ZSjh0Uf9wUf+3SoMDnuwB4ycyuJSSxXdNsdx1wLrBRoQITEZGaKXRj+x3AUHfv\nAPwBGJu8gZkdBHzq7jOoxaUREZHawtzz1wRhZh2Bie7eLZpf4e4bRdMGfOnuLZL2uRI4HlgNbEAo\nlTzk7iekOH6tbT8REcknd8/ZD/VCV229b2Z93f15YG9gTvIG7n4RcBGAmfUF/pQqiUTbqsQiIhKz\nvCUSM5sA9AVam9kCQi+tU4ExZtYYWBXNY2ZtgdvcfUCKQ6nUISJSxPJatSUiIrVf0VzZbmb9zWyW\nmb1nZuen2ebGaP0bZtajsn2rcwFkzPGvd/FmtLyVmT1jZnPMbJKZtSyx+K8xs3ej7R82sxbrH7V4\n409Yf46ZrTGzVqUUu5mdFb3+b5nZyHzEnq/4S+Gza2btzWyymb0dvcZDE7Yv+s9uJfFX77Pr7rE/\ngPrA+0BHoCHwOrBt0jYHAk9G07sAr1S2L1AO7B9NHwBMLrb4o/k9gB7AzKR9RgHnRdPnA1eXWPz7\nAvWi6atLLf5oXXvgaeBDoFWpxA7sBTwDNIzmNy2l174UPrvA5sCO0XQzYDawTTRf9J/dNPFXfHdW\n67NbLCWS3sD77j7P3X8A7gUOTdrmEGA8gLtPAVqa2eaV7FulCyBjjh9PffHmOvtEf3+Vh9ghT/G7\n+zPuviaanQK0K6X4I38FzstL1EG+Yj8DuCo6Ju7+WYnFX+yf3Tbu/om7vx4t/xp4F9gyeR+K87Ob\nLv620Xy1PrvFkki2BBYkzC/kp39IZdu0zbDvBcBoM5sPXANcmMOYqxJbdbdJ1sbdl0TTS4A22QSZ\nQb7iT3Qi8GSNoqtcXuI3s0OBhe7+Zi6CTCNfr/0vgD3N7BUzKzeznbOONLV8xV/sn911vlgtXOrQ\ng/ClC8X/2a0s/kSVfnaLJZFUtcW/ut19K70AMkdqGn+Vezp4KGPmq2dEXuM3sz8D37v7PdWKqupy\nHr+ZbUjohj48w/65kK/XvgGwsbv/kjBKxP3VDayK8hV/yXx2zawZ8CBwdvTLft0Ni/yzmyn+qn52\niyWRLCLURVdoT8iambZpF22Tad/e7v5INP0goRiYDzWNv7Li+pKKKgAz2wL4NMs408lX/JjZYEId\n7bHZhZhRPuLfilDv/IaZfRhtP83MNss62sxx5eq1Xwg8DODuU4E1ZrZJdqGmlK/4S+Kza2YNgYeA\nu9390YRtSuKzmyH+6n1289EAVIMGowbAXMIHtxGVNxj9kp8ajNLuC0wH+kbT+wBTiy3+hPUdSd3Y\nfn40fQH5a7DLV/z9gbeB1sX6/skUf9L6fDW25+u1Pw24NJruDMwvpde+FD67hF/5dwHXpThu0X92\nK4m/Wp/dnD+xLF6QAwi9Bt4HLoyWnQaclrDNTdH6N4CemfaNlu9MqPN7HXgZ6FGk8U8APga+I9Rl\nDomWtwKeJYwAMAloWWLxvwd8BMyIHv9XSvEnHf8D8pBI8vjaNwT+AcwEpgFlpfTal8JnF9gdWBPF\nWPEe7x+tK/rPbiXxV+uzqwsSRUQkK8XSRiIiIiVKiURERLKiRCIiIllRIhERkawokYiISFaUSERE\nJCuFvkOiSFEzsx+BxLG1Jrj7qAzb9yUMIfFy3oMTKVJKJCLr+sbde1S+2Vp7AV8RLppbh5nVd/cf\ncxaZSJHSBYkiCczsK3dvnmL5POBO4GDCVeMDCVdjvwz8SBhLaShwMvAtsCPwEnA3cAvQhDCUxYnu\n/qWZlROuKO5L+EF3IuEK9FlAH3f/3MzqEa5Y/qW7L83PMxbJntpIRNbVJLorX8VjYLTcgc/cfSfg\nZuBP7j6PkCT+6u493f2laLu2wK7u/ifCWEbnuvsOhOFKhiccr0lU+jkTGOvh/g9389Mgef2A15VE\npNipaktkXasyVG09HP2dDhyesDx5iO4H3N2j25O28HDzJgg3F3ogYbsJEG7uZGYbmdlGhOHSHwNu\nIJRSxtX8qYgUhkokIlX3XfT3RzL/CPsmzfLK7mfi7r6QMAT53kAv4KnqhShSeEokItn5ClivTQXA\n3ZcDy8xs92jR8YR7kUNIKkcBROu/dPevonW3E6q47nc1YkoJUNWWyLqamNmMhPmn3P2ipG0S73g3\nEXjQzA4hNLbDunetGwTcEt1xcS4wJGGbb81sOj81tleYSKjSUrWWlAT12hKJgZlNBs5x9+kp1u0M\njHb3voWPTKT6VCIRKSJmdgFwOnBM3LGIVJVKJCIikhU1touISFaUSEREJCtKJCIikhUlEhERyYoS\niYiIZEWJREREsvL/2P9NFOaFOqMAAAAASUVORK5CYII=\n",
+       "text": [
+        "<matplotlib.figure.Figure at 0x5bd2c30>"
+       ]
+      },
+      {
+       "metadata": {},
+       "output_type": "display_data",
+       "png": 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gFNIdUotJjeEnR8RSo/G7TcLs8154IT0V77nn4Fe/gm9/2w87ss9r9TaJiPgE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\n",
+       "text": [
+        "<matplotlib.figure.Figure at 0x5bf3270>"
+       ]
+      }
+     ],
+     "prompt_number": 7
+    },
+    {
+     "cell_type": "heading",
+     "level": 2,
+     "metadata": {},
+     "source": [
+      "Example 7 - Pg 199"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "#calculate the velocity required\n",
+      "#Initialization of variables\n",
+      "p1=40 #psia\n",
+      "t1=80. #F\n",
+      "p2=30 #psia\n",
+      "ar=0.5 #sq ft\n",
+      "v1=200 #ft/s\n",
+      "R=53.35\n",
+      "cp=0.24\n",
+      "g=32.17\n",
+      "J=778.\n",
+      "t2=78. #F\n",
+      "#calculations\n",
+      "G=40 #lb/sq ft/sec\n",
+      "rho2=144*p2/(R*(t2+460.))\n",
+      "v2=p1/rho2\n",
+      "#results\n",
+      "print '%s %d %s' %(\"Velocity =\",v2,\"ft/s\")\n"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Velocity = 265 ft/s\n"
+       ]
+      }
+     ],
+     "prompt_number": 18
+    },
+    {
+     "cell_type": "heading",
+     "level": 2,
+     "metadata": {},
+     "source": [
+      "Example 8 - Pg 206"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "#calculate the velocity, diameter, specific volume, density and diameter of nozzle\n",
+      "#Initialization of variables\n",
+      "%matplotlib inline\n",
+      "import math\n",
+      "import numpy\n",
+      "import matplotlib\n",
+      "from matplotlib import pyplot\n",
+      "P2=([180., 160., 140., 120., 100., 80., 60., 40., 20.])\n",
+      "k=1.4\n",
+      "p1=200 #psia\n",
+      "t1=240+460. #R\n",
+      "cp=0.24\n",
+      "J=778.\n",
+      "gc=32.2\n",
+      "R=53.35\n",
+      "m=4. #lb/sec\n",
+      "#calculations\n",
+      "b = len(P2)\n",
+      "pr=numpy.zeros(b);\n",
+      "prr=numpy.zeros(b);\n",
+      "T2=numpy.zeros(b);\n",
+      "dt=numpy.zeros(b);\n",
+      "dh=numpy.zeros(b);\n",
+      "v2=numpy.zeros(b);\n",
+      "vol=numpy.zeros(b);\n",
+      "A2=numpy.zeros(b);\n",
+      "dia=numpy.zeros(b);\n",
+      "rad=numpy.zeros(b);\n",
+      "den=numpy.zeros(b);\n",
+      "for i in range (0,b):\n",
+      "\tpr[i] = p1/P2[i]\n",
+      "\tprr[i]=math.pow(pr[i],((k-1)/k))\n",
+      "\tT2[i]=t1 /prr[i]\n",
+      "\tdt[i]= t1 -T2[i]\n",
+      "\tdh[i]=dt[i]*cp\n",
+      "\tv2[i]=math.sqrt(2*gc*J*dh[i])\n",
+      "\tvol[i]=(R*T2[i]) /(P2[i]*144.)\n",
+      "\tA2[i]=m*vol[i]*144. /v2[i]\n",
+      "\tdia[i]=math.sqrt(4/ math.pi *A2[i])\n",
+      "\trad[i]=dia[i]/2.\n",
+      "\tden[i]=1. /vol[i]\n",
+      "\n",
+      "pyplot.figure(1)\n",
+      "pyplot.title ('Velocity vs pressure')\n",
+      "pyplot.xlabel('Pressure in psia')\n",
+      "pyplot.ylabel('velocity in ft/s')\n",
+      "pyplot.plot(P2,v2)\n",
+      "\n",
+      "pyplot.figure(2)\n",
+      "pyplot.title('specific volume vs pressure')\n",
+      "pyplot.xlabel('Pressure in psia')\n",
+      "pyplot.ylabel('specific volume in cu ft/lb')\n",
+      "pyplot.plot(P2,vol)\n",
+      "\n",
+      "pyplot.figure(3)\n",
+      "pyplot.title('Radius vs Pressure')\n",
+      "pyplot.xlabel('Pressure in psia')\n",
+      "pyplot.ylabel('Radius in in')\n",
+      "plot(P2,rad)\n",
+      "#results\n",
+      "print '%s' %('Velocity in ft/s')\n",
+      "print (v2)\n",
+      "print '%s' %('Specific volume in cu ft/lb')\n",
+      "print (vol)\n",
+      "print '%s' %('Density in lb/cu ft')\n",
+      "print (den)\n",
+      "print '%s' %('Diameter of nozzle in in')\n",
+      "print (dia)\n"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Populating the interactive namespace from numpy and matplotlib\n",
+        "Velocity in ft/s"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "[  499.61112617   721.04131991   903.0653517   1069.14361272  1229.75524527\n",
+        "  1392.40468067  1565.24666139  1761.46433404  2014.34825773]\n",
+        "Specific volume in cu ft/lb\n",
+        "[ 1.39805384  1.52076257  1.6729549   1.86768387  2.12745999  2.4950706\n",
+        "  3.06425423  4.09358926  6.71623201]\n",
+        "Density in lb/cu ft\n",
+        "[ 0.71528003  0.65756484  0.59774475  0.53542252  0.47004409  0.40079026\n",
+        "  0.32634368  0.2442844   0.14889301]\n",
+        "Diameter of nozzle in in\n",
+        "[ 1.43255795  1.24370371  1.16559809  1.1318789   1.12638708  1.14637045\n",
+        "  1.19822204  1.30551392  1.56373036]\n"
+       ]
+      },
+      {
+       "metadata": {},
+       "output_type": "display_data",
+       "png": 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EYh3VggUwdiycemras33EiNRX0qVL0ZFZLaj4KKxa4ARiHV0E3Htv2rt95szU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\n",
+       "text": [
+        "<matplotlib.figure.Figure at 0x7b96290>"
+       ]
+      },
+      {
+       "metadata": {},
+       "output_type": "display_data",
+       "png": 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KKxcdnVnlVSPxT4qIrST9BJgSERdJejQiti630Ny5nfitW+bOTesFX3EF3Htv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\n4hzkiETAuWYAAAAASUVORK5CYII=\n",
+       "text": [
+        "<matplotlib.figure.Figure at 0x5d968d0>"
+       ]
+      },
+      {
+       "metadata": {},
+       "output_type": "display_data",
+       "png": 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84AlgRERMLdimD/AwMCwi5knqFxFvFLNvtr9bGu20dGnqux06NJUcMaslCxem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\nRK5CYII=\n",
+       "text": [
+        "<matplotlib.figure.Figure at 0x5d7e810>"
+       ]
+      }
+     ],
+     "prompt_number": 17
+    },
+    {
+     "cell_type": "heading",
+     "level": 2,
+     "metadata": {},
+     "source": [
+      "Example 9 - Pg 210"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "#calcualte the nozzle exit area\n",
+      "#Initialization of variables\n",
+      "import math\n",
+      "p1=200. #psia\n",
+      "t1=480. #F\n",
+      "eff=0.95\n",
+      "g=32.2 #ft/s^2\n",
+      "J=778.\n",
+      "mf=3.4 #lb/s\n",
+      "#calculations\n",
+      "print '%s' %(\"From steam tables,\")\n",
+      "h1=1257.8 \n",
+      "h2=1210.5 \n",
+      "dh=eff*(h1-h2)\n",
+      "ve=math.sqrt(2*g*J*dh)\n",
+      "h3=h1-dh\n",
+      "vs=3.961\n",
+      "Ae=mf*vs/ve *144.\n",
+      "#results\n",
+      "print '%s %.3f %s' %(\"Nozzle exit area =\",Ae,\"sq.in\")\n"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "From steam tables,\n",
+        "Nozzle exit area = 1.292 sq.in\n"
+       ]
+      }
+     ],
+     "prompt_number": 19
+    },
+    {
+     "cell_type": "heading",
+     "level": 2,
+     "metadata": {},
+     "source": [
+      "Example 10 - Pg 216"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "#calculate the final temperature, pressure and exit velocity in both cases\n",
+      "#Initialization of variables\n",
+      "import math\n",
+      "import numpy\n",
+      "from numpy import roots\n",
+      "R=53.35\n",
+      "v=300. #ft/s\n",
+      "p=100 #psia\n",
+      "t1=200 #F\n",
+      "q=500 #Btu/s\n",
+      "gc=32.2 #ft/s^2\n",
+      "J=778\n",
+      "#calculations\n",
+      "rho1=p*144/(R*(460.+t1))\n",
+      "s=([1., -0.206, 0.00535])\n",
+      "vec=numpy.roots(s)\n",
+      "rho2=vec[0]\n",
+      "t2=(236.6 - 0.301/rho2/rho2)/0.248\n",
+      "P2=rho2*R*(t2+462) /144.\n",
+      "v2=math.sqrt(2*gc*J*(236.6-0.248*t2))\n",
+      "v22=rho1*v/rho2\n",
+      "#results\n",
+      "print '%s %.1f %s' %(\"Final temperature =\",t2,\" F\")\n",
+      "print '%s %.1f %s' %(\"\\n Final pressure =\",P2,\" psia\")\n",
+      "print '%s %.1f %s' %(\"\\n Exit velocity in case 1 =\",v2,\"ft/s\")\n",
+      "print '%s %.1f %s' %(\"\\n Exit velocity in case 2 =\",v22,\" ft/s\")\n"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Final temperature = 914.6  F\n",
+        "\n",
+        " Final pressure = 89.5  psia\n",
+        "\n",
+        " Exit velocity in case 1 = 699.7 ft/s\n",
+        "\n",
+        " Exit velocity in case 2 = 699.0  ft/s\n"
+       ]
+      }
+     ],
+     "prompt_number": 20
+    }
+   ],
+   "metadata": {}
+  }
+ ]
+}
+\ No newline at end of file
author	hardythe1	2015-04-07 15:58:05 +0530
committer	hardythe1	2015-04-07 15:58:05 +0530
commit	92cca121f959c6616e3da431c1e2d23c4fa5e886 (patch)
tree	205e68d0ce598ac5caca7de839a2934d746cce86 /Thermodynamics_for_Engineers/Chapter_11_2.ipynb
parent	b14c13fcc6bb6d01c468805d612acb353ec168ac (diff)
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