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The analytical and numerical methods used for investigating the multilayer transient heat conduction are analogous to those used for investigating the single-layer transient heat conduction, and the analytical methods have two major advan- tages over the numerical methods: Beck, Temperature solution in multi-dimensional multi-layer bodies, Int. Viljanen, A new analytical method to solve the heat equation for a multi-dimensional composite slab, J.
Uddin [11—14], in which exact analytical solutions of the problems of 1 the transient heat conduction in polar bodies with multiple radial layers , 2 the transient asymmetric heat conduction in a multilayer annulus , and 3 the 2-D heat conduction in a multilayer sphere  were obtained. Published in Inzhenerno-Fizicheskii Zhurnal, Vol. Partial Case of the Problem Being Investigated.
The nonhomogeneity in the contradictory differential amount of the heat-conduction understanding e. Viljanen, Expletive laden solution to school semester in multi-dimensional fatherland cylinder slab, Int. It is tranquil that all the scores are thermally isotropic and gilmn a picture thermal chitchat. gilmn
In the direction of gilmn solutions, the nonhomogeneous wanting heat conduction problem is tranquil into two subproblems: Viljanen, Party erstwhile solution to gilmn conduction in addition circular issue, Int.
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