Mathematical modeling of a screw compressor

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SUMMARY

The discussion focuses on mathematical modeling of a twin screw compressor using Simulink. The user seeks to determine the rate of change of volume with respect to time, specifically through the equations dT_out/dt and dP_out/dt. The equations provided incorporate parameters such as mass flow rates (M_in, M_out), specific heat capacities (C_v, C_pin, C_pout), and pressure (P_in). The user requires a definitive relationship to express the rate of change of volume (dV/dt) within the context of their model.

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  • Understanding of mathematical modeling in engineering
  • Familiarity with Simulink for simulation purposes
  • Knowledge of thermodynamic principles related to compressors
  • Proficiency in differential equations and their applications
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  • Research the equations governing the dynamics of twin screw compressors
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  • Study the principles of mass and energy conservation in thermodynamic systems
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Engineers and researchers involved in compressor design, particularly those focusing on mathematical modeling and simulation of twin screw compressors in engineering applications.

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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