The Mechanical Engineering Handbook



Otto Cycle Pressure

Otto Cycle Pressure Equation



During compression (process 1-2): $$ P_2 = P_1 \cdot \left(\frac{T_2}{T_1}\right) $$ During expansion (process 3-4): $$ P_4 = P_3 \cdot \left(\frac{T_4}{T_3}\right) $$
where:

P1   =   Pressure in the cylinder at the beginning of the compression stroke   (Pa)

P2   =   Pressure in the cylinder after the compression stroke   (Pa)

P3   =   Pressure in the cylinder at the beginning of the expansion stroke stroke   (Pa)

P4   =   Pressure in the cylinder after the expansion stroke  (Pa)

T1   =   Temperature at the beginning of the compression   (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)


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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.