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Volumetric heat capacity, exponential function of T

Presentation

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

Mathematical model

The volumetric heat capacity is an exponential function of the temperature.

The corresponding mathematical formula is written:

where:

  • T0 is the reference temperature (degree)
  • ρCpa + ρCpb is the volumetric heat capacity at T0 (J/m3/degree)
  • ρCpa is a constant quantity (J/m3/degree)
  • τ is the temperature constant (positive or negative) (degree)

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