diff options
Diffstat (limited to 'Fluid_Mechanics_and_Hydraulic_Machines/ch10.ipynb')
| -rwxr-xr-x | Fluid_Mechanics_and_Hydraulic_Machines/ch10.ipynb | 817 |
1 files changed, 817 insertions, 0 deletions
diff --git a/Fluid_Mechanics_and_Hydraulic_Machines/ch10.ipynb b/Fluid_Mechanics_and_Hydraulic_Machines/ch10.ipynb new file mode 100755 index 00000000..3f713b01 --- /dev/null +++ b/Fluid_Mechanics_and_Hydraulic_Machines/ch10.ipynb @@ -0,0 +1,817 @@ +{ + "metadata": { + "name": "", + "signature": "sha256:e622aaab4152afb43a745018655d3a8638f8ca2d38533a29b1d9f716597d102a" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Chapter 10 : Centrifugal Pump" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 10.1 Page No : 210" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math \n", + "\n", + "# Variables\n", + "N = 900./60\n", + "x1 = 90.\n", + "D1 = 0.2\n", + "D2 = 0.4\n", + "n = 0.7\n", + "g = 9.81\n", + "u1 = math.pi*D1*N\n", + "u2 = 2*u1 \t\t\t# as D2 = 2D1\n", + "y1 = 20.\n", + "\n", + "# Calculations \n", + "Vf1 = u1*math.tan(math.radians(y1))\n", + "Vr1 = Vf1/math.sin(math.radians(y1))\n", + "Vf2 = Vf1\n", + "Vr2 = Vr1\n", + "x = (Vr2*Vr2-Vf1*Vf1)**0.5\n", + "Vw2 = u2-x\n", + "B1 = 0.02\n", + "Q = math.pi*D1*B1*Vf1\n", + "H = Vw2*u2/g\n", + "w = 9810\n", + "P = (w*Q*Vw2*u2)/(g*1000)\n", + "inputpower = (w*Q*H)/(1000*n)\n", + "print \"discharge through the pump %.4f litre/s \\\n", + "\\nheat developed %f m \\\n", + "\\npower in Kw at outlet %.3f \\\n", + "\\ninput power if overall efficiency is 70%% : %.4f kW\" \\\n", + "%(Q*1000,H,P,inputpower)\n", + "\n", + "# note : rounding off error" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "discharge through the pump 43.1069 litre/s \n", + "heat developed 18.109366 m \n", + "power in Kw at outlet 7.658 \n", + "input power if overall efficiency is 70% : 10.9401 kW\n" + ] + } + ], + "prompt_number": 11 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 10.2 Page No : 212" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "# Variables\n", + "Hs = 2.\n", + "Hd = 20.\n", + "Hfs = 1.\n", + "Hfd = 5.\n", + "Q = 1./60\n", + "N = 1450./60\n", + "ds = 0.1\n", + "dd = ds\n", + "n = 0.75\n", + "g = 9.81\n", + "w = 9810.\n", + "\n", + "# Calculations \n", + "a = 3.142*ds*ds/4\n", + "Vs = Q/a\n", + "Vd = Vs\n", + "Ht = Hs+Hd+Hfs+Hfd+(Vs*Vs/(2*g))+(Vd*Vd/(2*g))\n", + "Pi = (w*Q*Ht)/(n*1000)\n", + "Ns = ((N*(Q**0.5))/(Ht**0.75))*60\n", + "\n", + "# Results \n", + "print \"total head developed by the pump,power input to the pump,specific speed of pump in r.p.m\",round(Ht,4),round(Pi,5),round(Ns,3)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "total head developed by the pump,power input to the pump,specific speed of pump in r.p.m 28.4589 6.20404 15.192\n" + ] + } + ], + "prompt_number": 2 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 10.3 Page No : 213" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math \n", + "\n", + "# Variables\n", + "d2 = 0.6\n", + "Q = 20./60\n", + "N = 1400./60\n", + "V1 = 2.8\n", + "g = 9.81\n", + "y2 = 30.\n", + "w = 9810.\n", + "Vf1 = V1\n", + "Vf2 = V1\n", + "\n", + "# Calculations \n", + "u2 = 3.142*d2*N\n", + "x = Vf2/math.radians(math.tan(y2))\n", + "Vw2 = u2-x\n", + "Hm = Vw2*u2/g\n", + "P = (w*Q*Hm)/1000\n", + "\n", + "# Results \n", + "print \"head developed, pump power\",round(Hm,4),round(P,4)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "head developed, pump power 309.5484 1012.2231\n" + ] + } + ], + "prompt_number": 3 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 10.4 Page No : 214" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "# Variables\n", + "N = 1450./60\n", + "N1 = 1650./60\n", + "H = 12.\n", + "P = 6.\n", + "\n", + "# Calculations \n", + "H1 = H*((N1/N)**2)\n", + "P1 = P*((N1/N)**3)\n", + "\n", + "# Results \n", + "print \"head developed and power required if pump runs at 1650 r.p.m\",round(H1,4),round(P1,4)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "head developed and power required if pump runs at 1650 r.p.m 15.5386 8.841\n" + ] + } + ], + "prompt_number": 4 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 10.5 Page No : 215" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "# Variables\n", + "Q = 0.03\n", + "Hs = 18.\n", + "d = 0.1\n", + "l = 90.\n", + "n = 0.8\n", + "w = 9810.\n", + "a = 3.142*d*d/4\n", + "f = 0.04\n", + "g = 9.81\n", + "\n", + "# Calculations \n", + "Vd = Q/a\n", + "H1 = (4*f*l*Vd*Vd)/(d*2*g)+(Vd*Vd/(2*g))\n", + "Hm = Hs+H1\n", + "P = (w*Q*Hm)/(n*1000)\n", + "\n", + "# Results \n", + "print \"power required to drive the pump\",round(P,3),\"kW\"\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "power required to drive the pump 46.279 kW\n" + ] + } + ], + "prompt_number": 6 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 10.6 Page No : 216" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "# Variables\n", + "Q = 0.04\n", + "Hm = 30.\n", + "n = 0.75\n", + "w = 9810.\n", + "\n", + "# Calculations \n", + "p = w*Q*Hm/1000\n", + "P = p/n\n", + "\n", + "# Results \n", + "print \"output power of the pump,power required to drive the motor\",p,P\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "output power of the pump,power required to drive the motor 11.772 15.696\n" + ] + } + ], + "prompt_number": 6 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 10.7 Page No : 216" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "# Variables\n", + "Q = 1.8/60\n", + "d = 0.1\n", + "n = 0.72\n", + "Hs = 20.\n", + "w = 9810.\n", + "Hl = 8.\n", + "\n", + "# Calculations \n", + "Hm = Hs+Hl\n", + "p = (w*Hm*Q)/1000\n", + "P = p/n\n", + "print \"water power required to the pump,power required to run the pump\",p,P\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "water power required to the pump,power required to run the pump 8.2404 11.445\n" + ] + } + ], + "prompt_number": 7 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 10.8 Page No : 217" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math \n", + "\n", + "# Variables\n", + "d2 = 0.6\n", + "Q = 15./60\n", + "N = 1450./60\n", + "V1 = 2.6\n", + "g = 9.81\n", + "y2 = 30.\n", + "w = 9810.\n", + "Vf1 = V1\n", + "Vf2 = V1\n", + "\n", + "# Calculations \n", + "u2 = math.pi*d2*N\n", + "x = Vf2/math.tan(math.radians(y2))\n", + "Vw2 = u2-x\n", + "Hm = Vw2*u2/g\n", + "P = (w*Q*Hm)/1000\n", + "\n", + "# Results \n", + "print \"head developed, pump power\",round(Hm,4),round(P,4)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "head developed, pump power 190.6161 467.4859\n" + ] + } + ], + "prompt_number": 12 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 10.9 Page No : 217" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "# Variables\n", + "Q = 0.05\n", + "p = 392.4*1000\n", + "n = 0.65\n", + "s = 0.8\n", + "w1 = 9810.\n", + "\n", + "# Calculations \n", + "Hw = p/w1\n", + "Hoil = p/(w1*s)\n", + "Pw = (w1*Q*Hw)/(n*1000)\n", + "Poil = (w1*s*Q*Hoil)/(n*1000)\n", + "\n", + "# Results \n", + "print \"power in Kw to drive the pump with water and oil of s,p = 0.8\",round(Poil,6),round(Pw,6)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "power in Kw to drive the pump with water and oil of s,p = 0.8 30.184615 30.184615\n" + ] + } + ], + "prompt_number": 8 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 10.10 Page No : 218" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math \n", + "\n", + "# Variables\n", + "Q = 0.118\n", + "N = 1450./60\n", + "Hm = 25.\n", + "d2 = 0.25\n", + "B2 = 0.05\n", + "n = 0.75\n", + "g = 9.81\n", + "\n", + "# Calculations \n", + "u2 = math.pi*d2*N\n", + "Vf2 = Q/(math.pi*d2*B2)\n", + "Vw2 = g*Hm/(n*u2)\n", + "y2 = math.degrees(math.atan(Vf2/(u2-Vw2)))\n", + "\n", + "# Results \n", + "print \"vane angle in degree at the outer nperiphery of the impeller\",round(y2,2)\n", + "\n", + "# note : rounding off error\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "vane angle in degree at the outer nperiphery of the impeller 59.75\n" + ] + } + ], + "prompt_number": 15 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 10.11 Page No : 219" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math \n", + "\n", + "# Variables\n", + "Hm = 14.5\n", + "N = 1000./60\n", + "y2 = 30.\n", + "d2 = 0.3\n", + "B2 = 0.05\n", + "g = 9.81\n", + "n = 0.95\n", + "\n", + "# Calculations \n", + "u2 = math.pi*d2*N\n", + "Vw2 = g*Hm/(n*u2)\n", + "Vf2 = (u2-Vw2)*math.tan(math.radians(y2))\n", + "Q = math.pi*d2*B2*Vf2\n", + "\n", + "# Results \n", + "print \"discharge of pump in m3/sec if manometric efficiency if 95%% : %.3f litre/s\"%(Q*1000)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "discharge of pump in m3/sec if manometric efficiency if 95% : 168.024 litre/s\n" + ] + } + ], + "prompt_number": 18 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 10.12 Page No : 220" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math \n", + "\n", + "# Variables\n", + "d2 = 1.2\n", + "N = 200./60\n", + "Q = 1.88\n", + "Hm = 6.\n", + "y2 = 26.\n", + "g = 9.81\n", + "Vf2 = 2.5\n", + "d1 = 0.6\n", + "u2 = math.pi*d2*N\n", + "\n", + "# Calculations \n", + "Vw2 = u2-(Vf2/math.tan(math.radians(y2)))\n", + "n = g*Hm/(Vw2*u2)\n", + "z1 = (math.pi*d2/60)**2\n", + "z2 = (math.pi*d1/60)**2\n", + "N1 = (Hm*2*g/(z1-z2))**0.5\n", + "\n", + "# Results \n", + "print \"least speed to start pump : %.3f r.p.m \\\n", + "\\nmanometric efficiency : %.2f %%\"%(N1,(n*100))\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "least speed to start pump : 199.395 r.p.m \n", + "manometric efficiency : 62.95 %\n" + ] + } + ], + "prompt_number": 21 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 10.13 Page No : 222" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math \n", + "\n", + "# Variables\n", + "Q = 0.125\n", + "Hm = 25.\n", + "N = 660./60\n", + "d2 = 0.6\n", + "d1 = d2*0.5\n", + "a = 0.06\n", + "y2 = 45.\n", + "g = 9.81\n", + "\n", + "# Calculations \n", + "u2 = math.pi*d2*N\n", + "u1 = u2*0.5\n", + "Vf2 = Q/a\n", + "Vw2 = u2-(Vf2/math.tan(math.radians(y2)))\n", + "n = g*Hm/(Vw2*u2)\n", + "Vf1 = Q/(a)\n", + "y1 = math.degrees(math.atan(Vf1/u1))\n", + "\n", + "# Results \n", + "print \"manometric efficiency %.2f %% \\\n", + "\\nvane angle at inlet : %.2f degrees\"%((n*100),y1)\n", + "\n", + "# note : rounding off error." + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "manometric efficiency 63.42 % \n", + "vane angle at inlet : 11.36 degrees\n" + ] + } + ], + "prompt_number": 26 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 10.14 Page No : 223" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math \n", + "\n", + "# Variables\n", + "n = 3.\n", + "d2 = 0.4\n", + "B2 = 0.02\n", + "y2 = 45.\n", + "da = 0.1\n", + "nm = 0.9\n", + "w = 9810.\n", + "no = 0.8\n", + "g = 9.81\n", + "N = 1000./60\n", + "Q = 0.05\n", + "\n", + "# Calculations \n", + "Vf2 = Q/(math.pi*d2*nm*B2)\n", + "u2 = math.pi*d2*N\n", + "Vw2 = u2-(Vf2/math.tan(math.radians(y2)))\n", + "Hm = nm*Vw2*u2/g\n", + "Ht = n*Hm\n", + "P = w*Q*Ht/1000\n", + "Ps = P/no\n", + "\n", + "# Results \n", + "print \"shaft power in Kw %.2f\"%Ps\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "shaft power in Kw 66.21\n" + ] + } + ], + "prompt_number": 28 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 10.15 Page No : 225" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "# Variables\n", + "n = 6.\n", + "Q = 0.12\n", + "p = 5003.1*1000\n", + "N = 1450./60\n", + "w = 9810.\n", + "\n", + "# Calculations \n", + "Ht = p/w\n", + "h = Ht/n\n", + "Ns = (N*(Q**0.5)/(h**0.75))*60\n", + "\n", + "# Results \n", + "print \"radial impeller would be selected\",round(Ns,2)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "radial impeller would be selected 17.94\n" + ] + } + ], + "prompt_number": 12 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 10.16 Page No : 225" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math \n", + "\n", + "# Variables\n", + "sg = 1.08\n", + "w = 9810.*sg\n", + "Q = 0.3\n", + "H = 12.\n", + "no = 0.75\n", + "\n", + "# Calculations \n", + "P = w*Q*H/(no*1000)\n", + "p = w*H\n", + "\n", + "# Results \n", + "print \"power in Kw required by the pump,pressure developed by the pump in N/m2\",round(P,3),p\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "power in Kw required by the pump,pressure developed by the pump in N/m2 50.855 127137.6\n" + ] + } + ], + "prompt_number": 13 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 10.17 Page No : 226" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "# Variables\n", + "d1 = 0.3\n", + "N1 = 2000./60\n", + "Q1 = 3.\n", + "Hm1 = 30.\n", + "Q2 = 5.\n", + "N2 = 1500./60\n", + "Ht = 200.\n", + "\n", + "# Calculations \n", + "Hm2 = ((N2/N1)*((Q2/Q1)**0.5)*(Hm1**0.75))**1.3333\n", + "n = Ht/Hm2\n", + "d2 = ((Hm2/Hm1)**0.5)*(N1/N2)*d1\n", + "\n", + "# Results \n", + "print \"number of stages and diameter of each impeller in cm\",round(n,3),round((d2*100),2)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "number of stages and diameter of each impeller in cm 6.96 39.15\n" + ] + } + ], + "prompt_number": 14 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [], + "language": "python", + "metadata": {}, + "outputs": [] + } + ], + "metadata": {} + } + ] +}
\ No newline at end of file |