International Journal of Heat and Mass Transfer, Vol.50, No.19-20, 3943-3948, 2007
Dynamic response of a non-homogeneous 1D slab under periodic thermal excitation
The periodic heat conduction in a non-homogeneous slab is studied and an approximate analytic solution, valid for weakly non homogeneous slabs, is found. An exact solution for a well defined non-homogeneity is also found and compared to the approximate Solution to estimate the accuracy of the result. The solution allows to extend the method of thermal quadrupoles to weakly non-homogeneous 1D-slabs. (c) 2007 Elsevier Ltd. All rights reserved.