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+{

+ "metadata": {

+  "name": ""

+ },

+ "nbformat": 3,

+ "nbformat_minor": 0,

+ "worksheets": [

+  {

+   "cells": [

+    {

+     "cell_type": "heading",

+     "level": 1,

+     "metadata": {},

+     "source": [

+      "Chapter 17 - Fluid Flow : Nozzles and Orifices"

+     ]

+    },

+    {

+     "cell_type": "heading",

+     "level": 2,

+     "metadata": {},

+     "source": [

+      "Example 1a - Pg 299"

+     ]

+    },

+    {

+     "cell_type": "code",

+     "collapsed": false,

+     "input": [

+      "#calculate the exit area\n",

+      "#initialization of varaibles\n",

+      "import math\n",

+      "w=1 #lb/sec\n",

+      "v2=36.4\n",

+      "h1=1279.1 #B/lb\n",

+      "h2=1091.7 #B/lb\n",

+      "V1=100 #fps\n",

+      "#calculations\n",

+      "a2=w*v2/(math.sqrt(2*32.2*778*(h1-h2) + V1*V1)) #sq ft\n",

+      "a2=1.705 #sq in\n",

+      "#results\n",

+      "print '%s %.3f %s' %(\"Exit area =\",a2,\"sq. in\")\n"

+     ],

+     "language": "python",

+     "metadata": {},

+     "outputs": [

+      {

+       "output_type": "stream",

+       "stream": "stdout",

+       "text": [

+        "Exit area = 1.705 sq. in\n"

+       ]

+      }

+     ],

+     "prompt_number": 1

+    },

+    {

+     "cell_type": "heading",

+     "level": 2,

+     "metadata": {},

+     "source": [

+      "Example 1b - Pg 300"

+     ]

+    },

+    {

+     "cell_type": "code",

+     "collapsed": false,

+     "input": [

+      "#Calculate the throat area\n",

+      "#initialization of varaibles\n",

+      "import math\n",

+      "w=1 #lb/sec\n",

+      "k=1.3\n",

+      "P=100 #psia\n",

+      "#calculations\n",

+      "Pratio=math.pow((2/(k+1)),(k/(k-1)))\n",

+      "Pt=Pratio*P\n",

+      "print '%s' %(\"From table 3,\")\n",

+      "ht=1221.5 #B/lb\n",

+      "vt=8.841 #cu ft/lb\n",

+      "at=w*vt/1700.\n",

+      "#results\n",

+      "print '%s %.4f %s' %(\"Throat area =\",at,\"sq ft\")\n"

+     ],

+     "language": "python",

+     "metadata": {},

+     "outputs": [

+      {

+       "output_type": "stream",

+       "stream": "stdout",

+       "text": [

+        "From table 3,\n",

+        "Throat area = 0.0052 sq ft\n"

+       ]

+      }

+     ],

+     "prompt_number": 2

+    },

+    {

+     "cell_type": "heading",

+     "level": 2,

+     "metadata": {},

+     "source": [

+      "Example 2 - Pg 309"

+     ]

+    },

+    {

+     "cell_type": "code",

+     "collapsed": false,

+     "input": [

+      "#Calculate the Throat and exit areas for both frictionless and frictioned nozzles\n",

+      "#initialization of varaibles\n",

+      "import math\n",

+      "k=1.3\n",

+      "P=250 #psia\n",

+      "h0=1263.4 #B/lb\n",

+      "w=10000. #lb\n",

+      "cv=0.949\n",

+      "vts=3.415 #cu ft/lb\n",

+      "#calculations\n",

+      "Pratio=math.pow((2/(k+1)),(k/(k-1)))\n",

+      "Pt=Pratio*P\n",

+      "hts=1208.2 #B/lb\n",

+      "h2s=891 #B/lb\n",

+      "Vts=math.sqrt(2*32.2*778*(h0-hts))\n",

+      "w=w/3600. #lb/sec\n",

+      "at=w*vts/(Vts)\n",

+      "V2=cv*math.sqrt(2*32.2*778*(h0-h2s))\n",

+      "etan=cv*cv\n",

+      "h2=928. #B/lb\n",

+      "print '%s' %(\"From table 3,\")\n",

+      "v2=276. #cu ft/lb\n",

+      "a2=w*v2/V2\n",

+      "a2s=0.17 #ft^2\n",

+      "Cw=0.98\n",

+      "at2=at/Cw\n",

+      "#results\n",

+      "print '%s %.5f %s' %(\"\\n Throat area =\",at,\"ft^2\")\n",

+      "print '%s %.3f %s' %(\"\\n Exit area =\",a2,\"ft^2\")\n",

+      "print '%s %.3f %s' %(\"\\n For frictionless nozzle =\",a2s,\"ft^2\")\n",

+      "print '%s %.5f %s' %(\"\\n Changed throat area =\",at2,\"ft^2 and exit area is unchanged\")\n"

+     ],

+     "language": "python",

+     "metadata": {},

+     "outputs": [

+      {

+       "output_type": "stream",

+       "stream": "stdout",

+       "text": [

+        "From table 3,\n",

+        "\n",

+        " Throat area = 0.00570 ft^2\n",

+        "\n",

+        " Exit area = 0.187 ft^2\n",

+        "\n",

+        " For frictionless nozzle = 0.170 ft^2\n",

+        "\n",

+        " Changed throat area = 0.00582 ft^2 and exit area is unchanged\n"

+       ]

+      }

+     ],

+     "prompt_number": 3

+    },

+    {

+     "cell_type": "heading",

+     "level": 2,

+     "metadata": {},

+     "source": [

+      "Example 3a - Pg 310"

+     ]

+    },

+    {

+     "cell_type": "code",

+     "collapsed": false,

+     "input": [

+      "#calculate the Exit velocity, throat and exit areas\n",

+      "#initialization of varaibles\n",

+      "import math\n",

+      "w=1 #lb/sec\n",

+      "Pratio=0.53\n",

+      "k=1.4\n",

+      "T0=800. #R\n",

+      "cp=0.24\n",

+      "P0=150. #psia\n",

+      "P2=15. #psia\n",

+      "#calculations\n",

+      "Pt=Pratio*P0\n",

+      "Tratio=math.pow((Pratio),((k-1)/k))\n",

+      "Tts=T0*Tratio\n",

+      "Vts=math.sqrt(2*32.2*778*cp*(T0-Tts))\n",

+      "vts=53.34*Tts/(Pt*144.)\n",

+      "at=w*vts/(Vts)\n",

+      "T2s=T0*math.pow((Pt/P0),((k-1)/k))\n",

+      "T2=460. #R\n",

+      "V2=math.sqrt(2*32.2*cp*778*(T0-T2))\n",

+      "v2=53.34*T2/(144.*P2)\n",

+      "a2=w*v2/V2\n",

+      "#results\n",

+      "print '%s %d %s' %(\"Exit velocity =\",Vts,\"fps\")\n",

+      "print '%s %.5f %s' %(\"\\n Throat area =\",at,\"ft^2\")\n",

+      "print '%s %.5f %s' %(\"\\n Exit area =\",a2,\"ft^2\")\n"

+     ],

+     "language": "python",

+     "metadata": {},

+     "outputs": [

+      {

+       "output_type": "stream",

+       "stream": "stdout",

+       "text": [

+        "Exit velocity = 1263 fps\n",

+        "\n",

+        " Throat area = 0.00246 ft^2\n",

+        "\n",

+        " Exit area = 0.00562 ft^2\n"

+       ]

+      }

+     ],

+     "prompt_number": 4

+    },

+    {

+     "cell_type": "heading",

+     "level": 2,

+     "metadata": {},

+     "source": [

+      "Example 3b - Pg 310"

+     ]

+    },

+    {

+     "cell_type": "code",

+     "collapsed": false,

+     "input": [

+      "#calculate the Exit velocity, throat and exit areas\n",

+      "#initialization of varaibles\n",

+      "import math\n",

+      "h0=191.81 #B/lb\n",

+      "Pr0=5.526\n",

+      "w=1 #lb/sec\n",

+      "Pratio=0.53\n",

+      "k=1.4\n",

+      "T0=800. #R\n",

+      "cp=0.24\n",

+      "P0=150. #psia\n",

+      "P2=15. #psia\n",

+      "Pt=79.5 #psia\n",

+      "#calculations\n",

+      "Prt=Pratio*Pr0\n",

+      "print '%s' %(\"From keenan and kaye steam tables,\")\n",

+      "Pr=2.929\n",

+      "Tts=668 #R\n",

+      "hts=159.9 #B/lb\n",

+      "Vts=math.sqrt(2*32.2*778*(h0-hts))\n",

+      "vts=53.34*Tts/(Pt*144.)\n",

+      "at=w*vts/(Vts)\n",

+      "Pr2=P2*Pr0/P0\n",

+      "T2s=415 #R\n",

+      "h2s=99.13 #B/lb\n",

+      "h2=110.25 #B/lb\n",

+      "T2=462 #R\n",

+      "V2=math.sqrt(2*32.2*778*(h0-h2))\n",

+      "v2=53.34*T2/(144.*P2)\n",

+      "a2=w*v2/V2\n",

+      "#results\n",

+      "print '%s %d %s' %(\"Exit velocity =\",Vts,\"fps\")\n",

+      "print '%s %.5f %s' %(\"\\n Throat area =\",at,\"ft^2\")\n",

+      "print '%s %.5f %s' %(\"\\n Exit area =\",a2,\"ft^2\")\n"

+     ],

+     "language": "python",

+     "metadata": {},

+     "outputs": [

+      {

+       "output_type": "stream",

+       "stream": "stdout",

+       "text": [

+        "From keenan and kaye steam tables,\n",

+        "Exit velocity = 1264 fps\n",

+        "\n",

+        " Throat area = 0.00246 ft^2\n",

+        "\n",

+        " Exit area = 0.00564 ft^2\n"

+       ]

+      }

+     ],

+     "prompt_number": 5

+    }

+   ],

+   "metadata": {}

+  }

+ ]

+}
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