From 64d949698432e05f2a372d9edc859c5b9df1f438 Mon Sep 17 00:00:00 2001 From: kinitrupti Date: Fri, 12 May 2017 18:40:35 +0530 Subject: Revised list of TBCs --- .../Chapter8.ipynb | 286 +++++++++++++++++++++ 1 file changed, 286 insertions(+) create mode 100755 sample_notebooks/Gopi KrishnaManchukonda/Gopi KrishnaManchukonda_version_backup/Chapter8.ipynb (limited to 'sample_notebooks/Gopi KrishnaManchukonda/Gopi KrishnaManchukonda_version_backup/Chapter8.ipynb') diff --git a/sample_notebooks/Gopi KrishnaManchukonda/Gopi KrishnaManchukonda_version_backup/Chapter8.ipynb b/sample_notebooks/Gopi KrishnaManchukonda/Gopi KrishnaManchukonda_version_backup/Chapter8.ipynb new file mode 100755 index 00000000..c1c1744c --- /dev/null +++ b/sample_notebooks/Gopi KrishnaManchukonda/Gopi KrishnaManchukonda_version_backup/Chapter8.ipynb @@ -0,0 +1,286 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Chapter 8 - Thermal flow" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 1 - pg 168" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(a)Final velocity of steam is (m/s) = 636.38\n", + "(b)Percentage reduction in velocity is (percent) = 6.19\n" + ] + } + ], + "source": [ + "#calculate the Final velocity and percentage reduction in velocity\n", + "#Input data\n", + "P1=12.;#Pressure of Dry saturated steam entering a steam nozzle in bar\n", + "P2=1.5;#Discharge pressure of Dry saturated steam in bar\n", + "f=0.95;#Dryness fraction of the discharged steam\n", + "l=12.;#Heat drop lost in friction in percentage\n", + "hg1=2784.8;#Specific enthalpy of steam at 12 bar from steam tables in kJ/kg\n", + "hg2=2582.3;#Specific enthalpy of 0.95 dry steam at 1.5 bar from steam tables in kJ/kg\n", + "\n", + "#Calculations\n", + "hd=hg1-hg2;#Heat drop in kJ/kg\n", + "V1=44.72*(hd)**(0.5);#Velocity of steam at discharge from the nozzle in m/s\n", + "n=1-(l/100.);#Nozzle coefficient when 12 percent heat drop is lost in friction\n", + "V2=44.72*(n*hd)**(0.5);#Velocity of steam in m/s\n", + "percentV=((V1-V2)/V1)*100;#Percentage reduction in velocity\n", + "\n", + "#Output\n", + "print '(a)Final velocity of steam is (m/s) = ',round(V1 ,2)\n", + "print '(b)Percentage reduction in velocity is (percent) = ',round(percentV,2)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 2 - pg 174" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The mass of steam discharged,when the exit diameter of the nozzle is 12mm is (kg/hour) = 236.47\n" + ] + } + ], + "source": [ + "#calculate the mass of steam\n", + "#Input data\n", + "P1=12.;#Initial pressure of dry saturated steam expanded in a nozzle in bar\n", + "P2=0.95;#Final pressure of dry saturated steam expanded in a nozzle in bar\n", + "f=10.;#Frictional loss in the nozzle of the total heat drop in percentage\n", + "d=12.;#Exit diameter of the nozzle in mm\n", + "hd=437.1;#Heat drop in kJ/kg from steam tables\n", + "q=0.859;#Dryness fraction of steam at discharge pressure\n", + "vg=1.777;#Specific volume of dry saturated steam at 0.95 bar\n", + "\n", + "#Calculations\n", + "n=1-(f/100);#Nozzle coefficient from moiller chart\n", + "V2=44.72*(n*hd)**(0.5);#Velocity of steam at nozzle exit in m/s\n", + "A=(3.14/4)*(0.012)**(2);#Area of the nozzle at the exit in mm**2\n", + "m=((A*V2)/(q*vg))*3600;#Mass of steam discharged through the nozzle per hour in kg/hour\n", + "\n", + "#Output\n", + "print 'The mass of steam discharged,when the exit diameter of the nozzle is 12mm is (kg/hour) = ',round(m,2)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 3 - pg 176" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(a)Throat area of steam nozzle is (cm^2) = 1.67\n", + "(b)Exit area of steam nozzle is (cm^2) = 2.016\n", + "(c)Exit velocity of the nozzle is (m/s) = 831.62\n" + ] + } + ], + "source": [ + "#calculate the throat area of steam and exit area,exit velocity\n", + "#Input data\n", + "P1=12.;#Inlet pressure of steam nozzle in bar\n", + "T1=250.;#Inlet temperature of steam nozzle in degrees celcius\n", + "P2=2.;#Final pressure of the steam nozzle in bar\n", + "n=1.3;#Polytropic constant for superheated steam\n", + "St=6.831;#For isentropic expansion, entropy remains constant in kJ/kg\n", + "h1=2935.4#Enthalpy of steam at P1 from steam table in kJ/kg\n", + "ht=2860.;#Enthalpy of steam at pt in kJ/kg\n", + "vt=0.325;#Specific volume of steam at the throat conditions in m**3/kg\n", + "m=0.2;#Mass of steam discharged through the nozzle in kg/hour\n", + "q=0.947;#The dryness fraction of steam at exit from steam tables\n", + "hg=2589.6;#Enthalpy of steam at exit in kJ/kg\n", + "vs=0.8854;#Specific volume of saturated steam in m**3/kg\n", + "\n", + "#Calculations\n", + "pt=(P2/(n+1))**(n/(n-1))*P1;#Critical pressure ratio i.e.,Throat pressure in bar\n", + "Vt=(2*1000*(h1-ht))**(0.5);#Velocity of steam at throat in m/s\n", + "At=((m*vt)/Vt)*10**4;#Area of the throat in cm**2 from continuity equation\n", + "ve=q*vs;#Specific volume of steam at exit in m**3/kg\n", + "Ve=(2*1000*(h1-hg))**(0.5);#Velocity of steam at nozzle exit in m/s\n", + "Ae=((m*ve)/Ve)*10**4;#Exit area in cm**2\n", + "\n", + "#Output\n", + "print '(a)Throat area of steam nozzle is (cm^2) = ',round(At,2)\n", + "print '(b)Exit area of steam nozzle is (cm^2) = ',round(Ae,3)\n", + "print '(c)Exit velocity of the nozzle is (m/s) = ',round(Ve,2)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 4 - pg 177" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(a)Final exit velocity of steam is (m/s) = 785.246\n", + "(b)Cross sectional area of the nozzle at exit for maximum discharge is (mm^2) = 677.736\n" + ] + } + ], + "source": [ + "#calculate the Final exit velocity, Cross sectional area\n", + "#Input data\n", + "P1=10.;#Pressure of steam in bar\n", + "f=0.9;#Dryness fraction of steam\n", + "At=350.;#Throat area in mm**2\n", + "Pb=1.4;#Back pressure in bar\n", + "h1=2574.8;#Enthalpy of steam at nozzle inlet from steam tables in kJ/kg\n", + "ft=0.87;#Dryness fraction of steam at throat pressure\n", + "fe=0.81;#Dryness fraction of steam at exit pressure\n", + "ht=2481.;#Enthalpy of steam at throat pressure at ft in kJ/kg\n", + "vt=0.285;#Specific volume of steam at throat in m**3/kg\n", + "he=2266.2;#Enthalpy of steam at exit conditions in kJ/kg\n", + "ve=1.001;#Specific volume of steam at exit conditions in m**3/kg\n", + "\n", + "#Calculations\n", + "Pt=0.582*P1;#Steam pressure at the throat in bar\n", + "hd=h1-ht;#Enthalpy drop upto the throat in kJ/kg\n", + "Vt=44.7*(hd)**(0.5);#Velocity of steam at the throat in m/s\n", + "hde=h1-he;#Enthalpy drop from nozzle entrance to exit in kJ/kg\n", + "Ve=44.7*(hde)**(0.5);#Velocity of steam at nozzle exit in m/s\n", + "Ae=(At*Vt*ve)/(Ve*vt);#Exit area of nozzle from the mass rate of flow equation in mm**2\n", + "\n", + "#Output\n", + "print '(a)Final exit velocity of steam is (m/s) = ',round(Ve,3)\n", + "print '(b)Cross sectional area of the nozzle at exit for maximum discharge is (mm^2) = ',round(Ae,3)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 5 - pg 192" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(a)Velocity of steam at throat is (m/s) = 530.78\n", + "(b)Temperature of steam at the throat is (degrees celcius) = 202.8\n", + "(c)Cone angle of the divergent portion is (degrees) = 2.134\n" + ] + } + ], + "source": [ + "#calculate the Velocity of steam at throat, temperature and cone angle\n", + "#Input data\n", + "import math\n", + "P1=7.;#Inlet pressure of a convergent divergent steam nozzle in bar\n", + "T1=275.;#Inlet temperature of the nozzle in degrees celcius\n", + "P2=1.;#Discharge pressure of steam in bar\n", + "l=60.;#Length of diverging portion of the nozzle in mm\n", + "dt=6.;#Diameter of the throat in mm\n", + "f1=10.;#Percent of total available enthalpy drop lost in friction in the diverging portion in percentage\n", + "h1=3006.9;#Enthalpy of steam at 7bar pressure and 275 degrees celcius in kJ/kg\n", + "ht=2865.9;#Enthalpy at the throat from Moiller chart in kJ/kg\n", + "he=2616.7;#Enthalpy at the exit from moiller chart in kJ/kg\n", + "vt=0.555;#Specific volume of steam at throat in m**3/kg\n", + "Tt=202.8;#Temperature of steam at throat in degrees celcius from moiller chart\n", + "ve=1.65;#Volume of steam at exit in m**3/kg\n", + "\n", + "#Calculations\n", + "Pt=0.546*P1;#The throat pressure for maximum discharge in bar\n", + "hd=h1-ht;#Enthalpy drop upto throat in kJ/kg\n", + "Vt=44.7*(hd)**(0.5);#Velocity of steam at throat in m/s\n", + "hid=h1-he;#Total isentropic drop from 7 bar,275 degrees celcius to 1 bar in kJ/kg\n", + "hda=(1-(f1/100.))*(hid);#Actual heat drop in kJ/kg\n", + "Ve=44.7*(hda)**(0.5);#Velocity at exit in m/s\n", + "At=(3.14/4)*(6./1000)**(2);#Throat area of the nozzle in m**2\n", + "m=(At*Vt)/vt;#Mass flow rate at nozzle throat in kg/s\n", + "Ae=((m*ve)/Ve)*10**4;#Exit area of the nozzle in cm**2\n", + "de=(((Ae*4)/3.14)**(0.5))*10;#Diameter of the nozzle at exit in mm\n", + "alpha=math.atan((de-dt)/(2*60))*180/math.pi;#Half of the cone angle of the nozzle in degrees\n", + "alpha1=2*alpha;#Cone angle of the nozzle in degrees\n", + "\n", + "#Output\n", + "print '(a)Velocity of steam at throat is (m/s) = ',round(Vt,2)\n", + "print '(b)Temperature of steam at the throat is (degrees celcius) =',Tt\n", + "print '(c)Cone angle of the divergent portion is (degrees) =',round(alpha1,3)\n" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 2", + "language": "python", + "name": "python2" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 2 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython2", + "version": "2.7.9" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} -- cgit