The power of a multistage compressor

  • Thread starter Thread starter vishnu123
  • Start date Start date
  • Tags Tags
    Compressor Power
Click For Summary

Discussion Overview

The discussion revolves around the work done, power, and efficiency calculations for a multistage compressor, focusing on the relationships and equations that can be used to model such systems. Participants explore the derivation of these relationships, the need for specific parameters, and the implications of design choices such as intercooling.

Discussion Character

  • Exploratory
  • Technical explanation
  • Mathematical reasoning

Main Points Raised

  • One participant inquires about an equation to find the overall work, power, and efficiency of a multistage compressor without calculating individual stages.
  • Another participant suggests deriving a relationship for the reversible case.
  • A participant expresses the need for individual pressure calculations for each stage and seeks a relation to find overall power with minimal details.
  • There is a discussion about the optimal pressure ratio for the compressor and the equations related to pressure and work calculations.
  • One participant confirms the setup involves a series of continuous flow compressors and mentions high final temperatures due to the absence of intercooling.
  • Another participant asks for equations related to intercooling, beyond standard heat exchanger equations.

Areas of Agreement / Disagreement

Participants generally agree on the need for specific parameters and equations to model the multistage compressor, but there is no consensus on the best approach or the specific equations to use. Multiple competing views and uncertainties remain regarding the optimal design and calculations.

Contextual Notes

Participants express limitations in their knowledge of design specifications and details necessary for accurate calculations. There are unresolved aspects regarding the derivation of relationships and the implications of intercooling on performance.

vishnu123
Messages
38
Reaction score
2
TL;DR
how to calculate the power of a multistage compressor
is there any equation to find the work done, power and efficiency of a multistage compressor with a summation of calculating the power as so, instead of calculating individual power and summing at the end. any citiations is also good to know.
thanking you,
with regards,
vishnuvardhan
 
Engineering news on Phys.org
Have you tried to derive such a relationship, at least for the reversible case?
 
I haven't tried i was looking for it. i found a relation to find the overall work of the compressor, but i need to find the individual pressure for each stages. i am looking for a relation where we can find the over all power with just few details.
 
I mean, have you tried deriving it yourself? Do you know how to do a single compressor?
 
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.
 
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.
This is a series of continuous flow compressors, right?
 
yes it is a series of continuous flow compressors, and i have designed the general model of the compressor using the basic equations. The final temperature out is very high, as i haven't used any intercooling in between the stages. I have used 3 stage compressor, where in third stage the pressure goes from 18.93 to 80 bar and temperaature rise of about 1100kelvin. Are there any equations to carryout intercooling of the air, apart from heat exchanger equations?
 

Similar threads

Replies
1
Views
1K
  • · Replies 14 ·
Replies
14
Views
2K
  • · Replies 3 ·
Replies
3
Views
1K
  • · Replies 20 ·
Replies
20
Views
5K
Replies
2
Views
2K
  • · Replies 10 ·
Replies
10
Views
3K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 8 ·
Replies
8
Views
6K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 3 ·
Replies
3
Views
4K