Periodic conduction in materials with non-Fourier behaviour

The paper investigates the effects of non-Fourier characteristics of the material on oscillating thermal fields. A general solution in terms of temperature Fourier transform is obtained for an 1-D slab with convective boundary conditions. A transfer matrix of the slab is evaluated and it is shown that its analysis gives information about the non-Fourier behaviour of the material. Periodic conduction is analysed for both harmonic and nonharmonic boundary conditions, and the effect of surface convection is pointed out through the evaluation of its influence on surface temperature phase lag and amplitude. The possibility of evaluating relaxation time from phase lag measurements is pointed out together with the limits imposed by the surface convection. A similar technique is shown to be theoretically applicable to periodic nonharmonic boundary conditions through the evaluation of the temperature-heat flux cross-correlation