Heat Conduction with Tabulated Thermal Conductivity

A recent FEATool Multiphysics heat conduction tutorial example illustrates how to use data from a (text) file in an equation coefficient. The tabulated data here represents non-linear thermal conductivity as a function of temperature k = f(T). Where the conductivity curve is given as sin(pi/8) to sin(3/4*pi) for temperature values between 280 to 400. In the data (text) file the first column represents temperature values and second the coefficient value:

    280.0000 0.3827
    281.2121 0.4009
    ...
    398.7879 0.7210
    400.0000 0.7071

The coefficient is implemented and called from the toolbox using the finterpn function, which also supports interpolation in higher n dimensions (as well as .csv and .mat file formats).

The model is available as an automated tutorial by selecting Model Examples and Tutorials > Heat Transfer > Heat Conduction with Tabulated Thermal Conductivity from the File menu in the toolbox GUI. Or alternatively, follow the linked step-by-step tutorial instructions.