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Hybrid Methods in Engineering

ISSN Imprimir: 1099-2391
ISSN On-line: 2641-7359

Archives: Volume 1, 1999 to Volume 4, 2002

Hybrid Methods in Engineering

DOI: 10.1615/HybMethEng.v3.i2-3.90
17 pages

AN ANALYTICAL APPROACH TO THE SOLUTION OF MULTIDIMENSIONAL DRYING PROBLEMS

R. L. Thum
Programa de Pós-Graduação em Engenharia Mecânica, Universidade Federal do Rio Grande do Sul, 90050-170 Porto Alegre, RS, Brazil
L. B. Barichello
Instituto de Matematica, Universidade Federal do Rio Grande do Sul, 91509-900 Porto Alegre, RS, Brazil
Member of Editorial Board
2008 - 2008 Journal: TEMA. Trends in Computational and Applied Mathematics
Reviewer of Journals
2006 - 2006 Journal: Journal of the Brazilian Society of Mechanical Sciences and Engineering
2006 - 2006 Journal: Journal of Physics D. Applied Physics
2005 - Present Journal: Physics of Fluids
2005 - Present Journal: Journal of Computational and Applied Mathematics
2005 - Present Journal: European Journal of Mechanics. B, Fluids
2005 - 2005 Journal: Transport Theory and Statistical Physics
2004 - 2004 Journal: Journal of Quantitative Spectroscopy and Radiative Transfer
2004 - 2004 Journal: Journal of Micromechanics and MicroEngineering
2004 - 2004 Journal: TEMA. Trends in Computational and Applied Mathematics
2006 - 2006 Journal: Physica. A
2007 - 2007 Journal: Journal of Physics. A, Mathematical and General
2007 - 2007 Journal: Journal of Physics. A, Mathematical and Theoretical
2007 - 2007 Journal: Microfluidics and nanofluidics
2007 - Present Journal: Inverse Problems in Science and Engineering
2008 - Present Journal: Computational and Applied Mathematics
2009 - Present Journal: Progress in Nuclear Energy
Marco T. Vilhena
Departamento de Engenharia Mecânica, Instituto de Matematica Aplicada, Universidade Federal do Rio Grande do Sul, Porto Alegre, Brazil
Renato M. Cotta
Laboratory of Nano- and Microfluidics and Microsystems, LabMEMS, Mechanical Engineering Department and Nanotechnology Engineering Dept., POLI & COPPE, Universidade Federal do Rio de Janeiro, Cidade Universitária, Cx. Postal 68503, Rio de Janeiro, RJ, CEP 21945-970, Brazil; Interdisciplinary Nucleus for Social Development—NIDES/CT, UFRJ, Brazil; Mechanical Engineering Department, University College London, UCL, United Kingdom

RESUMO

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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