Project

Air Cycle

%Inputs 
gamma = 1.4


%state variables
p1= 101325
t1 = 500
t3 = 2300



% Engine geometric parameters
bore = 01.;
stroke = 0.1 ; 
cond_rod = 0.15 ;
cr = 12;

%Calculating the swept volume and the clearance volume
v_swept = (pi/4)*bore^2*stroke;
v_clearance = v_swept/(cr-1);

v1 = v_swept + v_clearance
v2 = v_clearance

%State variables at state point 2
% p2v2^gamma = p1v1^gamma
% p2 = p1*(v1/v2)^gamma = p1*cr^gamma
p2 = p1*cr^gamma;

%p1v1/t1 = p2v2/t2 | t2 = p2*v2*t1/(p1*v1)
t2 = p2*v2*t1/(p1*v1);


constant_c = p1*v1^gamma;
V_compression = piston_kinematics(bore , stroke, cond_rod,cr, 0,180);

P_compression = constant_c./V_compression.^gamma;



%state variables at state point 3
v3 = v2

% p3v3/t3 = p2v2/t2 | p3 = p2*t3/t2
p3 = p2*t3/t2

constant_c = p3*v3^gamma;
V_expansion = piston_kinematics(bore , stroke, cond_rod,cr, 0,180);

P_expansion = constant_c./V_compression.^gamma;

% State variables at state point 4
v4 = v1

%p3v3^gamma = p4v4^gamma | p4 = p3(v3/v4)^gamma
p4 = p3*(v3/v4)^gamma

figure(1)
hold on
plot(v1,p1,\'*\',\'color\',\'r\')
plot(V_compression,P_compression,\'*\',\'color\',\'r\')
plot(V_expansion,P_expansion,\'*\',\'color\',\'r\')
plot(v4,p4,\'*\',\'color\',\'r\')
xlabel(\'volume\')
ylabel(\'pressure\')


figure(2)
plot([v1 v2 v3 v4 v1],[p1 p2 p3 p4 p1],\'color\',\'b\')
xlabel(\'volume\')
ylabel(\'pressure\')



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