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Compressor Efficiency Definitions
Summary
K. Ueno, PhD, and R. E. Bye, VAIREX corportation,
and K. S. Hunter, University of Colorado
There are many different compressor effciency definitions in
use by the compressor industry, which can cause confusion when
comparing compressors. For positive displacement compressors (non-dynamic),
there are two major types of effciency. One characterizes ow (mass
flow or volume flow) and is called volumetric effciency. The other
characterizes power, and comes in a wide variety of forms: adiabatic,
isothermal, mechanical, overall, and system, to name a few.
Vairex has adopted the following definitions to satisfy industry
convention and theoretical standards. Below are brief descriptions
of the volumetric effciency, specic overall adiabatic effciency,
and system effciency, which Vairex currently uses in specifications.
For a more complete explanation of these effciencies and their
derivation, please see our more comprehensive
document on the subject.
Volumetric Efficiency

Here and throughout,
is the experimentally measured discharge mass
ow rate,
is the theoretical swept-volume mass flow rate,
is the experimentally measured volume flow rate in actual cubic
feet per minute, and
is the theoretical swept-volume flow rate. The former definition
is preferred,
but in the absence of mass- flow meters, the latter is acceptable.
We note that both swept-volume rates are functions of only compressor
geometry.
Specific Overall Adiabatic Efficiency

In this efficiency,
is the specific heat of air at constant pressure evaluated at
,
is the theoretical (standard) inlet temperature,
is the theoretical pressure ratio, and is
the experimentally measured shaft power.
System Efficiency

where
and
denote efficiencies of the compressor motor, controller, and auxiliary
device, respectively. This efficiency is the product of all component
efficiencies.
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