Air standard cycle - Python

\"\"\"
Ottocycle
\"\"\"
import math
import matplotlib.pyplot as plt

def kinematics(bore, stroke, conrod, cr, start_crank, end_crank):

	# geomtric parameters
	
	a = stroke/2
	R = conrod/a

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

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

	num_values = 50

	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(R,2) - pow(math.sin(theta),2)
		term3 = pow(term3, 0.5)
		V.append((1+ term1*(term2 - term3))*v_c)
	return V

# inputs
p1 = 101325
t1 = 500
gamma = 1.4
t3 = 2300

# geomtric parameters
bore = 0.1
stroke = 0.1
conrod = 0.15
cr = 12

# Volume 

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

# state point 2
v2 = v_c

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

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

constant = p1*pow(v1,gamma)

P_compression = []

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

# State point 3
v3 = v2

rhs = p2*v2/t2
p3 = rhs*t3/v3
V_expansion = kinematics(bore, stroke, conrod,cr,0,180)

constant = p3*pow(v3,gamma)

P_expansion = []

for v in V_expansion :
	P_expansion.append(constant/pow(v,gamma))
# state point 4 

v4 = v1

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

t4 = p4*v4/rhs

#Thermal efficiency
term5 = 1/pow(cr,(gamma-1))

Thermal_efficiency = 1 - term5
print(Thermal_efficiency)

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