 Volumetric heat capacity

Volumetric heat capacity is heat capacity per unit volume, with units $\mathrm{J}{\mathrm{m}}^{-3}{\mathrm{K}}^{-1}$. For homogeneous material of mass density $\rho =m/V$, it equals $\rho c$, using specific heat capacity $c$ for the same constraint. It measures the heat required per small temperature increase for a chosen occupied volume. In a material model using specific heat capacity at constant pressure, thermal diffusivity is $\alpha =k/(\rho c_p)$, where $k$ is thermal conductivity.

Volumetric heat capacity, often denoted as \( C_v \), is a measure of a material's ability to store thermal energy per unit volume for a given temperature change. It quantifies how much heat is required to raise the temperature of a unit volume of a substance by one degree Celsius (or one Kelvin).