Pressure on Piston due to Compressible flow

[Chotai Nikhil]

is it correct modeling mathematical model for Compressed air engine,

As here air Flowing through Pipe in Kg/s and its not a continuous flow and flow through vent into the cylinder and pushes Piston and and Piston moves down.
As I created model like this

(P1*V1)^Y = (P2*V2)^Y

So,
P2 = [(P1*V1)^Y] / [ (V1+dV)^Y ]
here i m in Confusion can i use this equation for my case because this does not includes density term
or Please guide more what equation i can use here.

 

[Nidum]

I don't understand . You claim to have or be studying for a masters degree in 'Mechanical' . You should be able to answer your own questions easily using what you have learned in basic thermodynamics and fluid mechanics courses ?