# Compressibility

Written by Jerry Ratzlaff on . Posted in Thermodynamics

Compressibility, 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

$$\large{ \beta = \frac{1}{K} }$$
Symbol English Metric
$$\large{ \beta }$$  (Greek symbol beta) = compressibility $$\large{ dimensionless }$$
$$\large{ K }$$ = bulk modulus $$\large{\frac{lbm}{in^2}}$$  $$\large{ Pa }$$