Mathematical modeling of a screw compressor

[vishnu123]

TL;DR

any relation to find the rate of change of volume with respect to time in compressor

I am trying to design a compressor in simulink. the mathematical equations has been modeled. but i just need, is there any relation to find the rate of change of volume with respect to time in compressor. Are there any equations or relations to find the rate of change in volume. As its a mathematical modelling i don't have any input parameters.

 

[anorlunda]

Axial compressor or piston compressor?

Are you looking for an average number, or volume as a function of time and space?

 

[vishnu123]

im working on twin screw compressor and I am looking for volume as a function of time

 

[vishnu123]

these are the equations which i have modeled
dT_out/dt = (1/(M*C_v))*((M_in*C_pin*T_in)-(M_out*C_pout*T_out)-(M_in*C_v*T)+(M_out*C_v*T)-(P_in*(dV/dt)));
dP_out/dt = (R/V)*(1/C_v)*((M_in*C_pin*T_in)-(M_out*C_pout*T_out)-(P_in*(dV/dt)))-((P_in*R)*(dV/dt));
in this the rate of change of volume is what i need and i am modelling these equations in simulink.