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Diffstat (limited to 'Fluid_Mechanics/Chapter_24.ipynb')
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diff --git a/Fluid_Mechanics/Chapter_24.ipynb b/Fluid_Mechanics/Chapter_24.ipynb new file mode 100755 index 00000000..ef4fb925 --- /dev/null +++ b/Fluid_Mechanics/Chapter_24.ipynb @@ -0,0 +1,183 @@ +{ + "metadata": { + "name": "", + "signature": "sha256:0997b77d100b3345365d77881e9dcf23833d271e3f7741c8fb4ad6c260c5ffc6" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Chapter 24: Positive Displacement Machines" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 24.1, Page 860" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from __future__ import division\n", + "import math\n", + "\n", + " #Initializing the variables\n", + "H_at = 10.3;\n", + "Hs = 1.5;\n", + "Hd = 4.5;\n", + "Ls = 2;\n", + "Ld = 15;\n", + "g = 9.81;\n", + "Ds = 0.4; # Diameter of stroke\n", + "Db = 0.15; # Diameter of bore\n", + "Dd = 0.05; # Diameter of discharge and suction pipe\n", + "nu = 0.2;\n", + "f = 0.01;\n", + "abs_pump_pressure = 2.4;\n", + "\n", + " #Calculations\n", + "A = math.pi*(Db)**2/4;\n", + "a = math.pi*(Dd)**2/4;\n", + "r = Ds/2;\n", + "W = 2*math.pi*nu;\n", + "Hsf = 0; \n", + "def H_suck(n):\n", + " y = H_at - Hs +(-1)**n*(L/g)*(A/a)*W**2*r; \n", + " return y\n", + "\n", + "def H(n,DischargeOrSuction):\n", + " if(DischargeOrSuction == 1):\n", + " y = H_at - Hs +(-1)**n*(Ls/g)*(A/a)*W**2*r;\n", + " elif(DischargeOrSuction == 2):\n", + " y = H_at + Hd +(-1)**n*(Ld/g)*(A/a)*W**2*r;\n", + " else:\n", + " print \"There is something wrong :\"\n", + " return y\n", + "\n", + "def H_mid(DischargeOrSuction,uA):\n", + " if(DischargeOrSuction == 1):\n", + " Hsf = 4*f*Ls/(2*Dd*g)*(uA/a)**2;\n", + " y = H_at - Hs - Hsf;\n", + " elif(DischargeOrSuction == 2):\n", + " Hsf = 4*f*Ld/(2*Dd*g)*(uA/a)**2;\n", + " y = H_at + Hd + Hsf;\n", + " else:\n", + " print \"There is something wrong :\"\n", + " return y\n", + "\n", + "Hs_start = H(1,1); # Inertia head negative hence n = 1\n", + "Hs_end = H(2,1); # Inertia head positive hence n = 2\n", + "Hd_start = H(1,2);\n", + "Hd_end = H(2,2);\n", + "u = W*r;\n", + "Hs_mid = H_mid(1,u*A);\n", + "slip = 0.04;\n", + "Hd_mid = H_mid(2,u*A);\n", + "suction = [Hs_start, Hs_end, Hs_mid];\n", + "discharge = [Hd_start, Hd_end, Hd_mid];\n", + "suction1=[0,0,0]\n", + "discharge1=[0,0,0]\n", + "for c in range(3):\n", + " suction1[c] =round(suction[c],2)\n", + " discharge1[c] =round(discharge[c],2)\n", + "W_max = (abs((abs_pump_pressure - H_at + Hs)*(g/Ls)*(a/A)*(1/r)))**0.5;\n", + "W_max_rev = W_max/(2*math.pi)*60; # maximum rotation speed in rev/min\n", + "\n", + "header = \"Start End Mid\";\n", + "\n", + "print \"\\n!----Part(a)----! Head at \\n\",header\n", + "print suction1\n", + "print \"\\n!----Part(b)----! Head at \\n\",header\n", + "print discharge1\n", + "print \"\\n!----Part(c)----1 \\nDrive speed for s eperation (rev/min) :\",round(W_max_rev)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n", + "!----Part(a)----! Head at \n", + "Start End Mid\n", + "[8.22, 9.38, 8.38]\n", + "\n", + "!----Part(b)----! Head at \n", + "Start End Mid\n", + "[10.45, 19.15, 17.93]\n", + "\n", + "!----Part(c)----1 \n", + "Drive speed for s eperation (rev/min) : 40.0\n" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 24.2, Page 863" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from __future__ import division\n", + "import math\n", + "\n", + " #Example 24.2 \n", + "\n", + " #Initializing the variables\n", + "H_friction = 2.4;\n", + "H_at = 10.3;\n", + "Hs = 1.5;\n", + "L =2;\n", + "f = 0.01;\n", + "d = 0.05;\n", + "g = 9.81; # Diameter of stroke\n", + "Db = 0.15; # Diameter of bore\n", + "r = 0.2;\n", + "\n", + " #Calculations\n", + "A = math.pi*(Db)**2/4;\n", + "a = math.pi*(d)**2/4;\n", + "W= (((H_at - Hs - H_friction )*(2*d*g/(4*f*L)))**0.5)*(a/A)*(math.pi/r); # in rad/s\n", + "W_rev = W/(2*math.pi)*60; # maximum rotation speed in rev/min\n", + "# IMPORTANT : In book conversion from rad/s to rev/min is wrong, so answer will be diffrent from book\n", + " \n", + "print \"speed in (rad/s) :\",round(W,2)\n", + "print \"Increase in speed (rev/min):\",round(W_rev-40,2)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "speed in (rad/s) : 15.46\n", + "Increase in speed (rev/min): 107.65\n" + ] + } + ], + "prompt_number": 2 + } + ], + "metadata": {} + } + ] +}
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