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-{
- "metadata": {
- "name": "",
- "signature": "sha256:e6bfcf139b40c8bb0a720cb8a5d777909d42ae46922a9515532a8aeacdd6716f"
- },
- "nbformat": 3,
- "nbformat_minor": 0,
- "worksheets": [
- {
- "cells": [
- {
- "cell_type": "heading",
- "level": 1,
- "metadata": {},
- "source": [
- "Chapter 02: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": {}
- }
- ]
-} \ No newline at end of file