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| author | hardythe1 | 2015-04-07 15:58:05 +0530 |
|---|---|---|
| committer | hardythe1 | 2015-04-07 15:58:05 +0530 |
| commit | c7fe425ef3c5e8804f2f5de3d8fffedf5e2f1131 (patch) | |
| tree | 725a7d43dc1687edf95bc36d39bebc3000f1de8f /mechanics_of_fluid/Chapter3-_1.ipynb | |
| parent | 62aa228e2519ac7b7f1aef53001f2f2e988a6eb1 (diff) | |
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| -rwxr-xr-x | mechanics_of_fluid/Chapter3-_1.ipynb | 268 |
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diff --git a/mechanics_of_fluid/Chapter3-_1.ipynb b/mechanics_of_fluid/Chapter3-_1.ipynb new file mode 100755 index 00000000..41b83b2a --- /dev/null +++ b/mechanics_of_fluid/Chapter3-_1.ipynb @@ -0,0 +1,268 @@ +{
+ "metadata": {
+ "name": "",
+ "signature": "sha256:333c941e92e4c238ee8e681acc0f0427a31d9cb623c5863e0f5d970ef2bcf529"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "Chapter3-The Principles Governing Fluids in Motion"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Ex2-pg105"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "#calculate Overall efficiency of the pump\n",
+ "u_A=1.35; ## m/s\n",
+ "d_A=0.225; ## m\n",
+ "d_B=0.150; ## m\n",
+ "d_C=0.150; ## m\n",
+ "d=5.6; ##m\n",
+ "friction=2.5; ## kW\n",
+ "power_req=12.7; ## kW\n",
+ "\n",
+ "rho=1000.; ## kg/m^3\n",
+ "rho_m=13560.; ## kg/m^3\n",
+ "\n",
+ "g=9.81; ## m/s^2\n",
+ "\n",
+ "pC=35000.; ## Pa\n",
+ "pA=rho_m*g*(-d_B);\n",
+ "\n",
+ "Area_A=math.pi*d_A**2/4;\n",
+ "Area_B=math.pi*d_B**2/4;\n",
+ "Area_C=math.pi*d_C**2/4;\n",
+ "\n",
+ "u_B=u_A*(Area_A/Area_B);\n",
+ "u_C=u_A*(Area_A/Area_C);\n",
+ "\n",
+ "## Energy_added_by_pump/time = (Mass/time)*((pC-pA)/rho+(u_C^2-u_A^2)/2+g*(zC-zA))\n",
+ "\n",
+ "Energy_added = Area_A*u_A*(pC-pA+rho/2.*(u_C**2-u_A**2)+rho*g*d)/1000.+friction;\n",
+ "\n",
+ "Efficiency=Energy_added/power_req*100.;\n",
+ "\n",
+ "print'%s %.1f %s'%(\"Overall efficiency of the pump =\",Efficiency,\" %\")\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Overall efficiency of the pump = 67.7 %\n"
+ ]
+ }
+ ],
+ "prompt_number": 1
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Ex3-pg119"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "#calculate Rate of discharge\n",
+ "d_jet = 0.0086; ## m\n",
+ "d_orifice = 0.011; ## m\n",
+ "x = 2.; ## m\n",
+ "y = 0.6; ## m\n",
+ "h = 1.75; ## m\n",
+ "g = 9.81; ## m/s^2\n",
+ "\n",
+ "A2 = math.pi/4.*d_orifice**2;\n",
+ "\n",
+ "Cc = (d_jet/d_orifice)**2.; ## Coefficient of Contraction\n",
+ "\n",
+ "Cv = x/2./math.sqrt(y*h); ## Coefficient of velocity\n",
+ "\n",
+ "Cd = Cv*Cc; ## Coefficient of Discharge\n",
+ "\n",
+ "Q = Cd*A2*math.sqrt(2.*g*h);\n",
+ "\n",
+ "print'%s %.4f %s'%(\"Rate of discharge =\",Q,\"m^3/s \")\n",
+ "\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Rate of discharge = 0.0003 m^3/s \n"
+ ]
+ }
+ ],
+ "prompt_number": 2
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Ex4-pg122"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "#calculate Flow rate\n",
+ "Cd=0.97;\n",
+ "d1=0.28; ## m\n",
+ "d2=0.14; ## m\n",
+ "\n",
+ "g=9.81; ## m/s^2\n",
+ "d=0.05; ## difference in mercury level in metre\n",
+ "rho=1000.; ## kg/m^3\n",
+ "rho_m=13600.; ## kg/m^3\n",
+ "\n",
+ "A1=math.pi/4.*d1**2.;\n",
+ "A2=math.pi/4.*d2**2.;\n",
+ "\n",
+ "p_diff=(rho_m-rho)*g*d;\n",
+ "h=p_diff/rho/g;\n",
+ "\n",
+ "Q=Cd*A1*((2.*g*h)/((A1/A2)**2-1.))**(1./2.);\n",
+ "\n",
+ "print'%s %.4f %s'%(\"Flow rate =\",Q,\"m^3/s \")\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Flow rate = 0.0542 m^3/s \n"
+ ]
+ }
+ ],
+ "prompt_number": 3
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Ex5-pg125"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "#calculate Mass flow rate\n",
+ "Cd=0.62;\n",
+ "g=9.81; ## m/s^2\n",
+ "d=0.1; ## m\n",
+ "d0=0.06; ## m\n",
+ "d1=0.12; ## m\n",
+ "\n",
+ "rho=1000.; ## kg/m^3\n",
+ "rho_m=13600.; ## kg/m^3\n",
+ "rho_f=0.86*10**3; ##kg/m^3\n",
+ "\n",
+ "A0=math.pi/4.*d0**2.;\n",
+ "A1=math.pi/4.*d1**2.;\n",
+ "\n",
+ "p_diff=(rho_m-rho_f)*g*d;\n",
+ "\n",
+ "h=p_diff/rho_f/g;\n",
+ "\n",
+ "Q=Cd*A0*((2.*g*h)/(1.-(A0/A1)**2))**(1./2.);\n",
+ "\n",
+ "m=rho_f*Q;\n",
+ "\n",
+ "print'%s %.2f %s'%(\"Mass flow rate =\",m,\"kg/s \")\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Mass flow rate = 8.39 kg/s \n"
+ ]
+ }
+ ],
+ "prompt_number": 4
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Ex6-pg130"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "Cd=0.61;\n",
+ "#calculate Rate of discharge\n",
+ "g=9.81; ## m/s^2\n",
+ "b=0.6; ## m\n",
+ "H=0.155; ## mQ\n",
+ "A=0.26; ## m^2\n",
+ "u1=0.254; ## m/s\n",
+ "\n",
+ "Q=2./3.*Cd*math.sqrt(2.*g*b*(H)**3/2);\n",
+ "\n",
+ "velo=Q/A;\n",
+ "\n",
+ "H1=H+u1**2/(2.*g);\n",
+ "\n",
+ "Q1=2./3.*Cd*math.sqrt(2*g*b*(H1)**3/2);\n",
+ "\n",
+ "print'%s %.3f %s'%(\"Discharge =\",Q1,\"m^3/s\")\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Discharge = 0.062 m^3/s\n"
+ ]
+ }
+ ],
+ "prompt_number": 6
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+}
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