Thermal Diffusion Transient Nonlinear - GCMLab/GCMLab-FEM GitHub Wiki

This model solves diffusion problems using a Fourier's Law constitutive equation.

in which is the body source term.

The model uses a nonlinear second-order orthotropic diffusivity tensor in the following form:

$k = k_{0}+\alpha T^{n}$

where, $k_{0}$ is the diffusivity at a reference temperature $[T/L^{2}]$, $\alpha$ and $n$ are diffusivity constants.

Input Properties

- heat capacity for transient case (specific heat * density)

Options

• One-dimensional problem:

• Two-dimensional problems:

  Isotropic

  Orthotropic