Compressibility

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

 

Compressibility formula
\(\large{ \beta =  -\; \frac{1}{V_i} \; \frac{\Delta V}{\Delta p}  }\)
Symbol	English	Metric
\(\large{ \beta }\)  (Greek symbol beta) = compressibility	\(\large{ dimensionless }\)
\(\large{  V_i }\) = initial volume	\(\large{ in^3 }\)	\(\large{ mm^3 }\)
\(\large{  \Delta V }\) = volume change	\(\large{ in^3 }\)	\(\large{ mm^3 }\)
\(\large{ \Delta p }\) = pressure change	\(\large{\frac{lbm}{in^2}}\)	\(\large{ Pa }\)