Which Equation Will be applied to calculate Pressure on Piston For sinusoidal Flow of compressed air

[nikhilchotai]

As i am modeling Air engine and i am mot getting which equation will be applied to calculate pressure on Piston if i supply Compressed air through inlet port as here i want note that air is not supplied continuously valve closing and opening as like in IC engine
As i though Bernoullis equation cant used because flow is not continuous.

 

[BrianPetersen]

How accurate do you want the outcome to be?

If you want any better than first-order accuracy, and the unsteady pressure wave implications are significant, there is no simple equation. The unsteady flow through the inlet valve of an internal combustion engine requires the use of simulation software to obtain an estimate.

 

[SomptingGuy]

You will need to solve (1D) compressible flow equations. The important word here is "compressible".

Steve