Otto Cycle Temperature Calculator

Otto Cycle Temperature

Otto Cycle Temperature Equation

During compression (process 1-2): $$ T_2 = T_1 \cdot \left(\frac{V_1}{V_2}\right)^{\gamma - 1} $$ During expansion (process 3-4): $$ T_4 = T_3 \cdot \left(\frac{V_3}{V_4}\right)^{\gamma - 1} $$
where:

T₁ = Temperature at the beginning of the compression stroke (K)

T₂ = Temperature after the compression stroke (K)

T₃ = Temperature at the beginning of the expansion stroke (K)

T₄ = Temperature after the expansion stroke (K)

V₁ = Volume of the cylinder at the beginning of the compression stroke at bottom dead center (m³)

V₂ = Volume of the cylinder after the compression stroke at top dead center (m³)

V₃ = Volume of the cylinder at the beginning of the expansion stroke stroke at top dead center (m³)

V₄ = Volume of the cylinder after the expansion stroke at bottom dead center (m³)

γ = Ratio of specific heats (Dimensionless)

Calculator

Property to Calculate:

Temperature at the beginning of the compression stroke (T₁) :

Temperature after the compression stroke (T₂) :

Temperature at the beginning of the expansion stroke (T₃) :

Temperature after the expansion stroke (T₄) :

Volume of the cylinder beginning of the compression stroke at bottom dead center (V₁):

Volume of the after the compression stroke at top dead center (V₂):

Volume of the cylinder beginning of the expansion stroke stroke at top dead center (V₃):

Volume of the cylinder after the expansion stroke at bottom dead center (V₄):

Specific heat at constant volume (C_v):

Equation Assumptions

The working fluid behaves as an ideal gas.
Specific heats remain constant.
Compression and expansion processes are adiabatic.
There is perfect mixing of the air and fuel.