OTTO CYCLE SIMULATOR IN PYTHON

import math
import matplotlib.pyplot as plt

def engine_kinematics(bore, stroke,con_rod,cr,start_crank, end_crank):
	
	a=stroke/2
	R=con_rod/a

	V_s = (math.pi/4)*pow(bore,2)*stroke
	V_c = V_s/(cr-1)

	sc = math.radians(start_crank)
	ec = math.radians(end_crank)

	num_values = 100

	dtheta = (ec-sc)/(num_values-1)

	V=[]

	for i in range(0,num_values):
		theta = sc + i*dtheta

		term1=0.5*(cr-1)
		term2=R+1-math.cos(theta)
		term3=pow(pow(R,2)-pow(math.sin(theta),2),0.5)

		V.append((1+term1*(term2-term3))*V_c)
	
	return V

p1 = 101325
t1 = 500
t3 = 2300

bore = 0.1
stroke = 0.1
con_rod = 0.15
cr = 12
gamma = 1.4  

v_s = (math.pi/4)*pow(bore,2)*stroke
v_c = v_s/(cr-1)
v1 = v_c+v_s

v2 = v_c
p2 = p1*pow(v1,gamma)/pow(v2,gamma)

rhs=p1*v1/t1
t2=p2*v2/rhs
V_compression = engine_kinematics(bore, stroke, con_rod, cr, 180, 0)

constant=p1*pow(v1,gamma)
P_compression=[]

for v in V_compression:
	P_compression.append(constant/pow(v,gamma))

v3 = v2
p3 = rhs*t3/v3

V_expansion = engine_kinematics(bore, stroke, con_rod, cr, 0, 180)

constant=p3*pow(v3,gamma)
P_expansion=[]

for v in V_expansion:
	P_expansion.append(constant/pow(v,gamma))

v4 = v1
p4 = p3*pow(v3,gamma)/pow(v4,gamma)
t4 = p4*v4/rhs

efficiency = 1-(1/(pow(cr,gamma)-1))
print(efficiency)

plt.plot([v2,v3],[p2,p3])
plt.plot([v4,v1],[p4,p1])
plt.plot(V_compression,P_compression)
plt.plot(V_expansion,P_expansion)
plt.show()