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Capacity of a Multi-Stage Reciprocating Compressor

12/27/2010 11:26 AM

I have a doubt about the calculation of the capacity of a multistage reciprocating compressor. In Mark's (14.3.21) it says that the capacity is equal to the displacement of the first stage, multiplied by the volumetric efficiency. But when I calculate displacement I already account for volumetric efficiency. pi*D^2*L*N*Z*j*ev-pocket*ev-temp*ev-press*ev-leak Q = ---------------------------------------------------------- 4 where ev-leak is the volumetric efficiency itself. The other ev numbers are for different factors. N is the speed, Z the number of pistons in the stage and j is factor to account for double effect cylinders. But in some solved problems I have seen (for multi-stage compressors) ev-leak^2 pi*D^2*L*N*Z*j*ev-pocket*ev-temp*ev-press*ev-leak^2 Q = ------------------------------------------------------------ 4 But is simply doesn't make sense to me considering the square of ev-leak. If I were to account for ev-leak in every stage of the system, then I should also consider the other "efficiencies". Do you know of any book that explains this stuff in detail?

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#1

Re: Capacity of a Multi-Stage Reciprocating Compressor

12/27/2010 6:04 PM

It might help if you refine your notation to include subscripts and superscripts, and explain any particular terms such as "ev-pocket" etc. You seem to be on the right track, but in a hard-to-understand form.

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#2
In reply to #1

Re: Capacity of a Multi-Stage Reciprocating Compressor

12/28/2010 10:56 AM

Sorry. I wrote it that way, but when I posted all the format was gone. I will try to make a jpg with the formulas.

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