1. Analytical solution for two dimensional time-dependent heat conduction in a multilayer sphere with heat sources using eigenfunction expansion method
Authors : Nitin Wange
Pages : 197-206
DOI : http://dx.doi.org/10.21172/1.73.028
Keywords : Multilayered sphere, transient heat conduction, eigenfunction expansion method, with heat source Abstract :An exact analytical solution is obtained for the problem of two-dimensional transient heat conduction in the multilayered sphere. The sphere has multiple layers in the radial direction and, in each layer, time-dependent and heat sources are considered. To obtain the temperature distribution, the eigenfunction expansion method is used. An arbitrary combination of homogenous boundary condition of the first or second kind can be applied in the angular directions. Nevertheless, solution is valid for nonhomogeneous boundary conditions of the third kind (convection) in the radial direction. A case study problem for the four-layer quarter-spherical region is solved
Citing this Journal Article :Nitin Wange, "Analytical solution for two dimensional time-dependent heat conduction in a multilayer sphere with heat sources using eigenfunction expansion method", Summer Special Issue - - June 2016, 197-206
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