Bulk Modulus

Written by Jerry Ratzlaff on . Posted in Fluid Dynamics

bulk modulusBulk modulus, abbreviated as B or K, also called bulk modulus of elasticity or modulus of volume expansion, is the elastic relationship between an applied pressure that acts to change the volume of the substance and the ability of a substance to withstand changes in volume when under compression.

 

Bulk Modulus formulas

\(\large{ K =    p\;  \frac {V_i}{ V_c }     }\)   
\(\large{ K = \frac { 1 }{ \beta }  }\)  
\(\large{ K = \frac { E }{ 3 \; \left( 1 \;-\; 2 \; \mu \right) }  }\)  
\(\large{ K =  \frac {v^2 \; \rho}  { Ca }  }\)  (Cauchy number)

Where:

\(\large{ K }\) = bulk modulus

\(\large{ V_c }\) = change in volume (volume differential)

\(\large{ Ca  }\) = Cauchy number

\(\large{ \beta }\)   (Greek symbol beta) = compressibility

\(\large{ E }\) = elasticity

\(\large{ \mu }\)  (Greek symbol mu) = Poisson's Ratio

\(\large{ p  }\) = pressure

\(\large{ v  }\) = velocity of flow

\(\large{ V_i }\) = initial volume

 

Tags: Equations for Pressure Equations for Strain and Stress Equations for Modulus