Thermal conductivity, exponential function of T
Presentation
This model defines a conductivity k as an exponential function of the temperature for an isotropic or anisotropic material.
Mathematical model
The thermal conductivity is an exponential function of the temperature.
The corresponding mathematical formula is written:
where:
- T0 is the reference temperature degree
- ka + kb is the conductivity of a material at T0 (W/m/degree)
- ka is a constant quantity (W/m/degree)
- τ is a temperature constant (positive or negative) (degree)
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 exponentials.