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, 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 Formula

\(\large{ K =    p\;  \frac {V_i}{ V_c}     }\)

\(\large{ K = \frac { 1 }{ \beta }     }\)

Where:

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

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

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

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

\(\large{ p  }\) = pressure

Solve for:

\(\large{ V_c =   \frac {p \; V_i}{ K}     }\)

\(\large{ \beta = \frac{1}{K}   }\)

\(\large{ V_i =  K\;  \frac {V_c}{ p}     }\)

\(\large{ p = K \; \frac{V_c}{V_i} }\)

 

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