# Volumetric heat capacity, linear function of T

## Presentation

This model defines a volumetric heat capacity ρCp as a linear function of the temperature for an isotropic or anisotropic material.

## Mathematical model

The volumetric heat capacity is a linear function of the temperature.

The corresponding mathematical formula is written:

ρCp(T)= ρCpa (1+a (T - T0))

where:

• T0 is the reference temperature (degree)
• ρCpa is the volumetric heat capacity at T0 (J/m3/degree)
• a is a coefficient (positive or negative) (degree-1)

The shape of ρCp(T) curve is presented in the figure below.