Thermal conductivity, linear function of T


This model defines a conductivity k as a linear function of the temperature for an isotropic or anisotropic material.

Mathematical model

The conductivity is a linear function of the temperature.

The corresponding mathematical formula is written:

k(T) = ka(1 + a (T - T0))


  • T0 is the reference temperature (degree)
  • ka is the thermal conductivity of a material at T0 (W/m/degree)
  • a is a coefficient (positive or negative) (degree-1)

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

Anisotropic material

For an anisotropic material, this linear model consists of a group of three straight lines.