Project

Week 2 Air standard Cycle

        CREATING THE OTTO CYCLE P-V PLOT AND DETERMINING THR THERMAL EFFICIENCY%1) Your code should create a PV diagram%Otto cycle plotclear allclose allclc%Inputsgamma = 1.4;t3 = 2300%State variablesp1 = 101325;t1 = 500;%Engine geomatric parameterbore = 0.1;stroke = 0.1;con_rod = 0.15;cr = 12;%Calculating the swept volume and the clearence volumev_swept = (pi/4)*bore^2*stroke;v_clearence = v_swept/(cr-1);v1 = v_swept + v_clearencev2 = v_clearence%State variable at point 2%p2v2^gamma=p1v1^gammap2 = p1*cr^gamma%p1v1/t1 = p2v2/t2 | t2 = p2v2t1/p1v1t2 = p2*v2*t1/(p1*v1)v_compression = engine_kinematics(bore,stroke,con_rod,cr,180,0)c_const1 = p1*v1^gamma;%p_compression*v_vompression^gamma=c_constp_compression = c_const1./v_compression.^gamma;%State variable at point 2v3 = v2%p3v3/t3 = p2v2/t2 | p3 = p2v2t3/t2v3 p3 = p2*v2*t3/(t2*v3)%State variable at point 4v4 = v1%p3v3^gamma = p4v4^gamma | p4 = p3v3/v4p4 = p3*(v3/v4)^gammav_expansion = engine_kinematics(bore,stroke,con_rod,cr,0,180)c_const2 = p3*v3^gamma;%p_compression*v_vompression^gamma=c_constp_expansion = c_const2./v_expansion.^gamma;%2) You should output the thermal efficiency of the engine.%Thermal efficiencythermal_efficiency = 1-(1/cr^(gamma-1))figure(1)hold on plot(v1,p1,'*','color','r') %Isentropic compressionplot(v_compression,p_compression)plot(v2,p2,'*','color','r')%Constant volume heat additionplot([v2 v3],[p2 p3],'color','r')plot(v3,p3,'*','color','r') %Isentropic expansionplot(v_expansion,p_expansion)plot(v4,p4,'*','color','r') %Constant volume heat rejectionplot([v4 v1],[p4 p1],'color','c')xlabel('volume')ylabel('pressure')title('P-V diagram of otto cycle')                            CREATING THE FUNCTION%Pston kinematicsfunction[v] = engine_kinematics(bore,stroke,con_rod,cr,start_crank,end_crank)%Inputsa = stroke/2;R = con_rod/a;v_s = pi/4*bore^2*stroke;v_c = v_s/(cr-1);theta = linspace(start_crank,end_crank,360);term1 = 0.5*(cr-1);term2 = R+1-cosd(theta);term3 = (R^2-sind(theta).^2).^0.5;%Final formulav = (1+term1*(term2-term3)).*v_cend
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