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Hybrid Methods in Engineering

Published 4 issues per year

ISSN Print: 1099-2391

ISSN Online: 2641-7359

AN ANALYTICAL APPROACH TO THE SOLUTION OF MULTIDIMENSIONAL DRYING PROBLEMS

Volume 3, Issue 2&3, 2001, 17 pages
DOI: 10.1615/HybMethEng.v3.i2-3.90
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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.

CITED BY
  1. Prolo Filho João Francisco, Rodrigues Marco Paulsen, A Closed Form Solution for a One-Dimensional Multi-Layered Neutron Transport Problem by Analytical Discrete Ordinates Method, Defect and Diffusion Forum, 372, 2017. Crossref

  2. Fudym O. , Batsale J.-C. , Santander R. , Bubnovich V. , Analytical Solution of Coupled Diffusion Equations in Semi-Infinite Media, Journal of Heat Transfer, 126, 3, 2004. Crossref

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