R. L.
Thum L. B.
Barichello Marco T.
Vilhena Renato M.
Cotta ABSTRACT The solution of the Luikov equations, for the analysis of simultaneous heat and mass diffusion problems in capillary porous media, is analytically derived by the application of the generalized integral transform technique (GITT) associated with the Laplace transform, which is applied and analytically inverted to solve a linear time-dependent first-order differential system that results from the application of the integral transform to the spatial variables. The proposed approach provides a solution that is numerical in all variables. Computational aspects are discussed and numerical results are presented for a two-dimensional problem.
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