This paper investigates the effect of thermal relaxation time (the non
-Fourier effect) on the thermal performance of a convective fin under
periodic thermal conditions. The environment heat transfer coefficient
is assumed to be spatially varying. The periodic oscillation of the b
ase temperature is considered. An efficient numerical scheme involving
the hybrid application of the Laplace transform and control volume me
thods in conjunction with hyperbolic shape functions is used to solve
the linear hyperbolic heat conduction equation. The thermal performanc
e of the fin predicted by using the non-Fourier heat conduction model
is compared with that predicted by using the Fourier model. Results sh
ow that the effects of the thermal relaxation time on the fin performa
nce are significant for a short time after the initial transient. For
the steady state, the non-Fourier effect is still great if the frequen
cy of the temperature oscillation is high. (C) 1998 Elsevier Science I
nc. All rights reserved.