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authorpriyanka2015-06-24 15:03:17 +0530
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treeab291cffc65280e58ac82470ba63fbcca7805165 /1226/CH16
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+clc;funcprot(0);//EXAMPLE 16.1
+// Initialisation of Variables
+pwu=735;............//Power developed by naturally aspirated engine in kW
+afru=12.8;.............//Air fuel ratio for naturally aspirated engine
+bsfc=0.350;......//Brake specific fuel consumption in kg/kWh
+metau=0.86;...........//Mechanical efficiency of naturally aspirated engine
+pi=730;...........//Inlet pressure in mm of Hg absolute
+tm=325;...........//Mixture temperature in Kelvin
+pr=1.6;.............//Pressure ratio of supercharged engine
+etaa=0.7;.............//Adiabatic efficiency of supercharged engine
+metas=0.9;..............//Mechanical efficiency of supercharged engine
+afrs=12.8;.............//Air fuel ratio for supercharged engine
+rhohg=13600;.............//Density of mercury in kg/m^3
+R=0.287;...................//Gas constant in kJ/kgK
+ga=1.4;................//Degree of freedom for gas
+cp=1.005;..................//Specific heat of the fuel
+g=9.81;................//Acceleration due to gravity in m/s^2
+//calculations
+t2=tm*(pr)^((ga-1)/ga);..............//Ideal temperature for the supercharged engine
+t2a=tm+(t2-tm)/etaa;................//Actual temperature for the supercharged engine
+wa=cp*(t2a-tm);.....................//Work of the supercharger
+wsup=cp*(t2a-tm)/metas;..............//Work required to drive the supercharger in kJ/kg of air
+//When unsupercharged
+p1=(pi/1000)*((g*rhohg)/1000);..............//Inlet pressure in kN/m^2
+rhounsup=p1/(R*tm);
+maunsup=(bsfc*pwu*afrs)/3600;...................//Air consumption in kg/s for unsupercharged engine
+//When supercharged
+rhosup=(pr*p1)/(R*t2a);
+masup=maunsup*(rhosup/rhounsup);..................//Air consumption in kg/s
+Psup=masup*wsup;...............//Power required to run the supercharger in kW
+disp(Psup,"The Power required to run the supercharger (kW):")
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+clc;funcprot(0);//EXAMPLE 16.2
+// Initialisation of Variables
+p1=1.0132;..............//Mean pressure at sea level in bar
+t1=283;................//Mean temperature at sea level in Kelvin
+BP=260;....................//Brake Power output in kW
+etaV=0.78;..................//Volumetric efficiency at sea level free air condition
+sfc=0.247;............//Specific Fuel consumption in kg/kW.h
+afr=17;...................//Air fuel ratio
+N=1500;...................//Engine rpm
+at=2700;.................//Altitude in mts
+p2=0.72;................//Pressure in bar at the given altitude
+Psup=0.08;.................//8% power of engine is taken by the supercharger
+R=287;...................//Gas constant in J/kgK
+t2=32+273;..............//Temperature in Kelvin at the given altitude
+//calculations
+mf=(sfc*BP)/60;.............//Fuel consumption in kg/min
+ma = mf*afr;..................//Air consumption in ig/min
+acps = ma/(N/2);............//Air consumption per stroke in kg
+Vs=(acps*R*t1)/(etaV*p1*10^5);................//Engine capacity in m^3
+disp(Vs,"The Engin Capacity in m^3:")
+pmb=(BP*6)/(Vs*10*(N/2));........//Brake Mean Effective Pressure in bar
+disp(pmb,"The Brake mean effective pressure is (bar) :")
+gp=BP/(1-Psup);.................//Gross power produced by supercharged engine in kW
+masup=ma*gp/BP;......................//Mass of air required for supercharged engine in kg
+matc=masup/(N/2);..............//Mass of air taken per cycle
+pressure=(matc*R*t2)/(etaV*10^5*Vs);
+disp(pressure-p2,"The Increase of pressure required (in bar):")
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+clc;funcprot(0);//EXAMPLE 16.3
+// Initialisation of Variables
+ec=3600*10^(-6);.............//Engine capacity in m^3
+pw=13;...............//Power developed in kW per m^3 of free air induced per minute
+etaV=0.82;............//Volumetric Efficiency
+N=3000;................//Engine rpm
+p1=1.0132;...........................//Initial Air pressure in bar
+t1=298;........................//Initial Temperature in Kelvin
+pr=1.8;.....................//Pressure ratio in rotary compressor
+etaC=0.75;.................//Isentropic efficiency of compressor
+etaM=0.8;....................//Mechanical efficiency
+ga=1.4;.....................//Degree of freedom for the gas
+td=4;.......................//The amount by which the temperature is kess than delivery temperature from compressor
+R=287;......................//Gas constant in J/kg.K
+cp=1.005;.....................//Specific heat capacity
+//Calculations
+Vs=(ec*N)/2;....................//Swept volume in m^3/min
+Vu=Vs*etaV;....................//Unsupercharged volume induced per min
+rcdp=pr*p1;........//Rotary compressor delivery pressure
+t2=t1*(pr)^((ga-1)/ga);..............//Ideal temperature for the supercharged engine
+t2a=t1+(t2-t1)/etaC;................//Actual temperature for the supercharged engine
+ta=t2a-td;............................//Temperature of air at intake to the engine cylinder
+V1=(rcdp*Vs*t1)/(p1*ta);.................//Equivalent volume at 1.0132 bar and 298 K
+Vinc=V1-Vs;...........................//Increase in induced Volume of air in m^3/min
+ipincai=pw*Vinc;.......................//Increase in IP from air induced in kW
+ipinciip=((rcdp-p1)*10^5*Vs)/(60*1000);...........//Increase in IP due to increased induction pressure kW
+ipinctot=ipincai+ipinciip;...............//Total increase in Input Power in kW
+bpinc=ipinctot*etaM;....................//Increase in Brake Power of the engine in kW
+ma=(rcdp*10^5*Vs)/(60*R*ta);...................//Mass of air delivered by the compressor kg/s
+pc=(ma*cp*(t2a-t1))/etaM;....................//Power required by the compressor
+bpincnet=bpinc-pc;..........................//Net Increase in BP
+disp(bpincnet,"The Net increase in Brake Power in kW:")
+
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+clc;funcprot(0);//EXAMPLE 16.4
+// Initialisation of Variables
+p1=1.0132;..............//Mean pressure at sea level in bar
+t1=283;................//Mean temperature at sea level in Kelvin
+BP=250;....................//Brake Power output in kW
+etaV=0.78;..................//Volumetric efficiency at sea level free air condition
+sfc=0.245;............//Specific Fuel consumption in kg/kW.h
+afr=17;...................//Air fuel ratio
+N=1500;...................//Engine rpm
+at=2700;.................//Altitude in mts
+p2=0.72;................//Pressure in bar at the given altitude
+Psup=0.08;.................//8% power of engine is taken by the supercharger
+R=287;...................//Gas constant in J/kgK
+t2=32+273;..............//Temperature in Kelvin at the given altitude
+//calculations
+mf=(sfc*BP)/60;.............//Fuel consumption in kg/min
+ma = mf*afr;..................//Air consumption in ig/min
+acps = ma/(N/2);............//Air consumption per stroke in kg
+Vs=(acps*R*t1)/(etaV*p1*10^5);................//Engine capacity in m^3
+disp(Vs,"The Engin Capacity in m^3:")
+pmb=(BP*6)/(Vs*10*(N/2));........//Brake Mean Effective Pressure in bar
+disp(pmb,"The Brake mean effective pressure is (bar) :")
+gp=BP/(1-Psup);.................//Gross power produced by supercharged engine in kW
+masup=ma*gp/BP;......................//Mass of air required for supercharged engine in kg
+matc=masup/(N/2);..............//Mass of air taken per cycle
+pressure=(matc*R*t2)/(etaV*10^5*Vs);
+disp(pressure-p2,"The Increase of pressure required (in bar):")
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+clc;funcprot(0);//EXAMPLE 16.5
+// Initialisation of Variables
+t1=298;.................//Temperature of the air while entering the compressor in Kelvin
+qrej=1210;..............//Amount of heat rejected in cooler in kJ/min
+t2=273+65;...............//Temperature of the air leaving the cooler in Kelvin
+p2=1.75;.................//Pressure of the air leaving the cooler in bar
+n=6;.....................//No of cylinders
+d=0.1;...................//Bore of the cylinder in m
+l=0.11;...................//Stroke of the cylinder in m
+etaV=0.72;................//volumetric efficiency
+N=2000;...............//Engine rpm
+Tout=150;..................//Torque Output in Nm
+etaM=0.8;..................//Mechanical efficiency
+R=287;.......................//Gas constant for air in J/kgK
+cp=1.005;...................//Specific capacity of air
+//calculations
+BP=(2*%pi*N*Tout)/(60*1000);...........//Brake power in kW
+IP=BP/etaM;..........//Input Power in kW
+Vc=(%pi/4)*d*d*l;...................//Cylinder Volume in m^3
+pmi=(6*IP)/(n*Vc*(N/2)*10);................//Indicated mean effective pressure
+disp(pmi,"The indicated mean effective pressure (in bar):")
+Vs=Vc*6*(N/2);.........................//Engine Swept Volume in m^3/min
+Vaa=Vs*etaV;..........................//Aspirated volume of air into engine in m^3/min
+maa=(p2*10^5*Vaa)/(R*t2);..............//Aspirated air mass flow into the engine in kg/min
+disp(maa,"The total aspirated air mass flow into the engine (in kg/min):")
+t2a=((((BP/cp)/(qrej/(60*cp)))*t2)-t1)/(((BP/cp)/(qrej/(60*cp)))-1);
+mc=((BP/cp)/(t2a-t1))*60;........................//Air flow into the compressor in kg/min
+disp(mc,"Air flow into the compressor in kg/min:")
+
+