Please use this identifier to cite or link to this item: http://hdl.handle.net/11422/8739
Type: Artigo
Title: Eigenfunction expansions for transient diffusion in heterogeneous media
Author(s)/Inventor(s): Naveira-Cotta, Carolina Palma
Cotta, Renato Machado
Orlande, Helcio Rangel Barreto
Fudym, Olivier
Abstract: Indisponível.
Abstract: The Generalized Integral Transform Technique (GITT) is employed in the analytical solution of transient linear heat or mass diffusion problems in heterogeneous media. The GITT is utilized to handle the associated eigenvalue problem with arbitrarily space variable coefficients, defining an eigenfunction expansion in terms of a simpler Sturm-Liouville problem of known solution. In addition, the representation of the variable coefficients as eigenfunction expansions themselves has been proposed, considerably simplifying and accelerating the integral transformation process, while permitting the analytical evaluation of the coefficients matrices that form the transformed algebraic system. The proposed methodology is challenged in solving three different classes of diffusion problems in heterogeneous media, as illustrated for the cases of thermophysical properties with large scale variations found in heat transfer analysis of functionally graded materials (FGM), of abrupt variations in multiple layer transitions and of randomly variable physical properties in dispersed systems. The convergence behavior of the proposed expansions is then critically inspected and numerical results are presented to demonstrate the applicability of the general approach and to offer a set of reference results for potentials, eigenvalues, and related quantities.
Keywords: Heterogeneous media
Diffusion
Variable physical properties
Heat conduction
Sturm-Liouville problems
Integral transforms
Subject CNPq: CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOS
Department : Núcleo Interdisciplinar de Dinâmica dos Fluidos
Publisher: Elsevier
In: International Journal of Heat and Mass Transfer
Volume: 52
Issue: 21-22
Issue Date: 24-Jun-2009
DOI: 10.1016/j.ijheatmasstransfer.2009.04.014
Publisher country: Brasil
Language: eng
Right access: Acesso Aberto
ISSN: 0017-9310
Appears in Collections:Engenharias

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