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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.v1.i4.40
24 pages

EXACT SOLUTION OF LUIKOV'S EQUATIONS FOR DRYING IN CAPILLARY POROUS MEDIA

S. M. Guigon
Mechanical Engineering Department, EE/COPPE, Universidade Federal do Rio de Janeiro, Brasil
Lucilia Batista Dantas
Research and Development Institute, IP&D / UNIVAP, Av. Shishima Hifumi, 2911, 12244-000, Sao Josedos Campos - SP; Mechanical Engineering Department, EE/COPPE, Universidade Federal do Rio de Janeiro, Brasil
F. Scofano Neto
Mechanical Engineering Department, EE/COPPE, Universidade Federal do Rio de Janeiro, Brasil
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 classical formulation of drying in capillary porous media, based on Luikov's theory, is solved exactly through integral transformation. The associated eigenvalue problem, which has been recently found to yield complex roots that were not accounted for within most previous works, is accurately and automatically treated through the generalized integral transform technique (GITT). This approach allows for a definitive establishment of the eigenvalues spectra, including any number of complex eigenvalues, which appear for certain combinations of the governing parameters in the partial differential formulation. Representative examples are selected and the convergence characteristics of the exact solution are illustrated.


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