# Bulk Modulus

Written by Jerry Ratzlaff on . Posted in Fluid Dynamics

## Bulk Modulus

Bulk modulus ( $$B$$ or $$K$$ ) (also known as bulk modulus 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

$$K = p \frac {V_i}{ V_c}$$

Where:

$$K$$ = bulk modulus

$$p$$ = pressure

$$V_i$$ = initial volume

$$V_c$$ = change in volume

Solve for:

$$p = K \frac {V_c}{ V_i}$$

$$V_i = K \frac {V_c}{ p}$$

$$V_c = \frac {p V_i}{ K}$$