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diff --git a/Fluid_Mechanics-Fundamentals_&_Applications/chapter2.ipynb b/Fluid_Mechanics-Fundamentals_&_Applications/chapter2.ipynb new file mode 100755 index 00000000..86ce62ad --- /dev/null +++ b/Fluid_Mechanics-Fundamentals_&_Applications/chapter2.ipynb @@ -0,0 +1,330 @@ +{ + "metadata": { + "name": "", + "signature": "sha256:5e6755c0967514d4a088b6f2680d41d08af3d13ac494e49b4b241d86db6baa26" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Chapter 2:Properties of Fluids" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 2.2-1, Page Number 41" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + " \n", + "#Variable Decleration\n", + "l=6 #Length in m\n", + "b=4 #Breadth in m\n", + "h=5 #Height in m\n", + "R=0.287 #Gas Constant in kPa.m^3/kg.K\n", + "P=100 # pressure in kPa\n", + "T=25 # Temperature in degree Centigrade\n", + "To=273.15 #Temperature conversion in Kelvin\n", + "rho_H2O=1000 #Density of water\n", + "\n", + "#Calculations\n", + "rho=P/(R*(T+To)) #Density in kg/m^3\n", + "SG=rho/rho_H2O #Specific Gravity of Air\n", + "V=l*b*h #Volume of the room in m^3\n", + "m=rho*V #mass of air in kg\n", + "\n", + "#Results\n", + "print\"The density of Air is\", round(rho,2), \"kg/m^3\"\n", + "print\"The Specific Gravity of Air is\",round(SG,5)\n", + "print\"The mass of air is\",round(m),\"kg\"\n", + "\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The density of Air is 1.17 kg/m^3\n", + "The Specific Gravity of Air is 0.00117\n", + "The mass of air is 140.0 kg\n" + ] + } + ], + "prompt_number": 15 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 2.2-2, Page Number 42" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "\n", + "#Variable Decleration\n", + "T=30 #Temperature in the System in Degree Centigrade\n", + "#Value from the table for corresponding Temperature\n", + "P=4.25 #Pressure in kPa\n", + "\n", + "#Calculations\n", + "Pmin=P #Minimum Pressure to avoid Cavitation in kPa\n", + "\n", + "#Result\n", + "print\"The minimum pressure required to avoid cavitation is\",Pmin,\"kPa\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The minimum pressure required to avoid cavitation is 4.25 kPa\n" + ] + } + ], + "prompt_number": 5 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 2.2-3, Page No:47" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "#The variables repeat hence a different notation has been used to code the following example\n", + "#Variable Decleration\n", + "T1=20 #Temperature of water Initially in Degree Centigrade\n", + "P1=1 #Pressure initially in atm\n", + "T2=50 #Temperature of water after heating in Degree Centigrade\n", + "P2=100 #Pressure after Compression in atm\n", + "rho=998 # density of water at 1 atm in kg/m^3\n", + "alpha=4.8*10**-5 #isothermal compressibility of water in atm^-1\n", + "beta=0.337*10**-3 #Coefficient of volume expansion at avg temp in K^-1\n", + "\n", + "#Calculations\n", + "\n", + "#Part (a)\n", + "deltarho1=-beta*rho*(T2-T1) #Change in density in kg/m^3\n", + "rho2a=deltarho1+rho #density of water at 50 degrees in kg/m^3\n", + "\n", + "#Part(b)\n", + "deltarho2=alpha*rho*(P2-P1) #Change in density in kg/m^3\n", + "rho2b=rho+deltarho2 #density of water at 100atm and 20 degrees in kg/m^3\n", + "\n", + "#Result\n", + "print\"The density changes to\", round(rho2a),\"kg/m^3 when heated to 50 degrees\"\n", + "print\"The density changes to\",round(rho2b,1),\"kg/m^3 when compressed to 100atm isothermally\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The density changes to 988.0 kg/m^3 when heated to 50 degrees\n", + "The density changes to 1002.7 kg/m^3 when compressed to 100atm isothermally\n" + ] + } + ], + "prompt_number": 16 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 2.2-4, Page No: 50" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "\n", + "#Variable Decleration\n", + "V=200 #Speed of air in m/s\n", + "T=30 #Temperature in degree centigrade\n", + "k=1.4 #Specific Heat Ratio\n", + "R=0.287 #Gas Constant in kJ/kg K\n", + "To=273.15 #Temperature conversion factor\n", + "f=1000 #conversion factor in m^2/s^2\n", + "\n", + "#Calculations\n", + "\n", + "#Part(a)\n", + "c=(k*R*(T+To)*(f))**0.5 #Speed of sound in m/s\n", + "\n", + "#Part(b)\n", + "Ma=V/c #Mach Number\n", + "\n", + "#Result\n", + "print\"The speed of sound in air at 30degrees is\",round(c),\"m/s\"\n", + "print\"The mach number is\",round(Ma,3),\" which is subsonic since Ma<1\"\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The speed of sound in air at 30degrees is 349.0 m/s\n", + "The mach number is 0.573 which is subsonic since Ma<1\n" + ] + } + ], + "prompt_number": 2 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 2.2-5, Page No:55" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "\n", + "#Variable Decleration\n", + "L=0.4 #Length of viscometer in m\n", + "T=1.8 #Torque measured in N.m\n", + "l=0.0015 #Gap between the two cylinders in m\n", + "R=0.06 #Radius if inner shaft in m\n", + "ndot=300/60 #speed of the shaft\n", + "\n", + "#Calculations\n", + "mu=(T*l)/(4*pi**2*R**3*ndot*L) #Viscosity in s/m^2\n", + "\n", + "#Result\n", + "print\"The viscosity of the liquid is\",round(mu,3),\"s/m^2\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The viscosity of the liquid is 0.158 s/m^2\n" + ] + } + ], + "prompt_number": 18 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 2.2-6, Page No:59" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "\n", + "#Variable Decleration\n", + "R=0.3*10**-3 #Radius of glass tube in m\n", + "sigma_s=0.073 #Surface Tension in water at 20 degrees in N/m\n", + "phi=0 #Angle made by the water surface in degrees\n", + "g=9.81 #Acceleration due to gravity in m/s^2\n", + "rho=1000 #Density of water in kg/m^3\n", + "\n", + "#Calculations\n", + "h_m=(2*sigma_s*cos(phi))/(rho*g*R) #Capillary rise in m\n", + "h=h_m*100 #Capillary rise in cm\n", + "\n", + "#Result\n", + "print\"The capillary rise is\",round(h),\"cm\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The capillary rise is 5.0 cm\n" + ] + } + ], + "prompt_number": 21 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example No:2.2-7, Page No:60" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "\n", + "#Variable Decleration\n", + "rho_water=1000 #Density of water in kg/m^3\n", + "g=9.81 #Acceleration due to gravity in m/s^2\n", + "h=0.05 #Capillary Rise in m\n", + "\n", + "#Calculations\n", + "deltaP=(rho_water*g*h)/(1000*100) #Pressure difference in atm\n", + "\n", + "#Result\n", + "print\"The pressure difference is\",round(deltaP,3),\"atm\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The pressure difference is 0.005 atm\n" + ] + } + ], + "prompt_number": 23 + } + ], + "metadata": {} + } + ] +}
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