Please use this identifier to cite or link to this item: http://hdl.handle.net/11422/8418
Type: Artigo
Title: Enhanced convergence of eigenfunction expansions in convection-diffusion with multiscale space variable coefficients
Author(s)/Inventor(s): Cotta, Renato Machado
Naveira-Cotta, Carolina Palma
Knupp, Diego Campos
Abstract: Indisponível.
Abstract: A convergence enhancement technique known as the integral balance approach is employed in combination with the Generalized Integral Transform Technique (GITT) for solving diffusion or convection-diffusion problems in physical domains with subregions of markedly different materials properties and/or spatial scales. GITT is employed in the solution of the differential eigenvalue problem with space variable coefficients, by adopting simpler auxiliary eigenproblems for the eigenfunction representation. The examples provided deal with heat conduction in heterogeneous media and forced convection in a microchannel embedded in a substrate. The convergence characteristics of the proposed novel solution are critically compared against the conventional approach through integral transforms without the integral balance enhancement, with the aid of fully converged results from the available exact solutions.
Keywords: Heat flow
Fluid flow
Generalized Integral Transform Technique
Mathematical Method
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: Taylor & Francis
In: Numerical Heat Transfer, Part A Applications
Volume: 70
Issue: 5
Issue Date: 13-Jul-2016
DOI: 10.1080/10407782.2016.1177342
Publisher country: Brasil
Language: eng
Right access: Acesso Aberto
ISSN: 1040-7782
Appears in Collections:Engenharias

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