NON-FOURIER HEAT-CONDUCTION IN A PLANE SLAB WITH PRESCRIBED BOUNDARY HEAT-FLUX

The non-stationary heat conduction in an infinitely wide plane slab wi th a prescribed boundary heat flux is studied, An arbitrary time depen dent boundary heat flux is considered and a non-vanishing thermal rela xation time is assumed. The temperature and the heat flux density dist ributions are determined analytically by employing Cattaneo-Vernotte's constitutive equation for the heat flux density. It is proved that th e temperature and the heat flux density distributions can be incompati ble with the hypothesis of local thermodynamic equilibrium. A comparis on with the solution which would be obtained by means of Fourier's law is performed by considering the limit of a vanishing thermal relaxati on time.