Compressibility under isentropic (constant entropy S = \rm const) compression/decompression thermodynamic process:
| (1) | c_S = \frac{1}{\rho} \left( \frac{\partial \rho}{\partial p} \right)_S = - \frac{1}{V_m} \left( \frac{\partial V_m}{\partial p} \right)_S |
Isentropic Compressibility is material property and is inverse to Isentropic bulk modulus K_S:
| (2) | \beta_S = \frac{1}{K_S} |
See also
Physics / Mechanics / Continuum mechanics / Continuum body / Compressibility