The discussion focuses on the calculations involved in determining the work done, power, and efficiency of a multistage compressor. Key equations mentioned include the pressure ratio equation, defined as Pressure ratio = (P_out/P_in)^(1/n), and the total work equation: total work = (n*k*P_in*V_in)/(k-1)*((P_(2*n)/P_in)^((k-1)/2n)-1). The user seeks to model a three-stage compressor operating from an input pressure of 1 bar to an output pressure of 80 bars, with a significant temperature rise of 1100 Kelvin. The conversation also touches on the need for optimal pressure ratios and methods for intercooling.
PREREQUISITESEngineers, mechanical designers, and students involved in thermodynamics and fluid mechanics, particularly those focusing on compressor design and efficiency optimization.
This is a series of continuous flow compressors, right?vishnu123 said:no i have'nt i wam looking for how to model the compressor. I don't have any details or design specifications of the compressor. all I know is jus the input pressurem of 1bar and massflow rate of the gas and the output pressure of 80bars. With the basic calculations formulas I can calculate the power required for a single stage. I need few details about, what's the optimal pressure ratio for the compressor and any relation to find the final output pressure at the last stage of the compressor.
the equations i know are:
Pressure ratio = (P_out/P_in)^(1/n)
total work = (n*k*P_in*V_in)/(k-1)*((P_(2*n)/P_in)^((k-1)/2n)-1)
where, n = number of stages
k = heat capacity ratio
V_in = inlet volume of gas
and i also need to find the efficiency of the compressor.