Compressibility

Written by Jerry Ratzlaff on . Posted in Thermodynamics

compressibility 2Compressibility, abbreviated as \(\beta \) (Greek symbol beta), also called coefficient of compressibility, a dimensionless number, measures the change in volume under external forces for any liquid.  Compressibility of a fluid increases with pressure and temperature and results in loss of volume output of pumps.  In control systems, compression of fluid provides a mass spring condition that limits system response.

 

Compressibility formulas

\(\large{ \beta = - \frac{1}{V} \; \frac{\Delta  V}{ \Delta  p}  }\) 
\(\large{ \beta = \frac{1}{K}   }\) 

Where:

 Units English Metric
\(\large{ \beta }\)  (Greek symbol beta) = compressibility \(\large{ dimensionless }\)
\(\large{  K }\) = bulk modulus \(\large{\frac{lbm}{in^2}}\)  \(\large{ Pa }\)
\(\large{ \Delta  p }\) = pressure rate of change \(\large{\frac{lbf}{in^2}}\) \(\large{ Pa }\)
\(\large{ \Delta  V }\) = volume rate of change \(\large{ in^3 }\) \(\large{ mm^3 }\)
\(\large{  V }\) = volume \(\large{ in^3 }\) \(\large{ mm^3 }\)

 

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Tags: Temperature Equations Pressure Equations Gas Equations Soil Equations