Том 3,
Выпуск 2&3, 2001,
17 pages
DOI: 10.1615/HybMethEng.v3.i2-3.90
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R. L. Thum
Programa de Pós-Graduação em Engenharia Mecânica, Universidade Federal do Rio Grande do Sul, 90050-170 Porto Alegre, RS, Brazil
Liliane Basso Barichello
Universidade Federal do Rio Grande do Sul
<b>Member of Editorial Board</b><br><strong>2008 - 2008</strong> Journal: TEMA. Trends in Computational and Applied Mathematics<br><b>Reviewer of Journals</b><br><strong>2006 - 2006</strong> Journal: Journal of the Brazilian Society of Mechanical Sciences and Engineering<br><strong>2006 - 2006</strong> Journal: Journal of Physics D. Applied Physics<br><strong>2005 - Present</strong> Journal: Physics of Fluids<br><strong>2005 - Present</strong> Journal: Journal of Computational and Applied Mathematics<br><strong>2005 - Present</strong> Journal: European Journal of Mechanics. B, Fluids<br><strong>2005 - 2005</strong> Journal: Transport Theory and Statistical Physics<br><strong>2004 - 2004</strong> Journal: Journal of Quantitative Spectroscopy and Radiative Transfer<br><strong>2004 - 2004</strong> Journal: Journal of Micromechanics and MicroEngineering<br><strong>2004 - 2004</strong> Journal: TEMA. Trends in Computational and Applied Mathematics<br><strong>2006 - 2006</strong> Journal: Physica. A<br><strong>2007 - 2007</strong> Journal: Journal of Physics. A, Mathematical and General<br><strong>2007 - 2007</strong> Journal: Journal of Physics. A, Mathematical and Theoretical<br><strong>2007 - 2007</strong> Journal: Microfluidics and nanofluidics<br><strong>2007 - Present</strong> Journal: Inverse Problems in Science and Engineering<br><strong>2008 - Present</strong> Journal: Computational and Applied Mathematics<br><strong>2009 - Present</strong> 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
Department of Mechanical Engineering,
Universidade Federal do Rio de Janeiro,
Rio de Janeiro, RJ 21945.970, Brazil
Краткое описание
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.