Mathematical modeling of a screw compressor

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Discussion Overview

The discussion revolves around the mathematical modeling of a twin screw compressor, specifically focusing on finding the rate of change of volume with respect to time. Participants explore equations and relationships relevant to this modeling task within the context of Simulink.

Discussion Character

  • Technical explanation, Mathematical reasoning

Main Points Raised

  • One participant seeks a relation to determine the rate of change of volume in a compressor without specific input parameters.
  • Another participant inquires whether the focus is on an axial compressor or a piston compressor and asks if an average number or a function of time and space is desired.
  • A participant clarifies they are working on a twin screw compressor and specifically looking for volume as a function of time.
  • A participant shares equations they have modeled, which include expressions for the rate of change of temperature and pressure, indicating that the rate of change of volume is a critical component they need for their modeling in Simulink.

Areas of Agreement / Disagreement

The discussion does not appear to reach a consensus, as participants have different focuses and questions regarding the modeling of the compressor.

Contextual Notes

Participants have not established specific input parameters or assumptions necessary for the modeling, which may affect the discussion's direction.

vishnu123
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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.
 
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Axial compressor or piston compressor?

Are you looking for an average number, or volume as a function of time and space?
 
im working on twin screw compressor and I am looking for volume as a function of time
 
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.
 

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