Please use this identifier to cite or link to this item:
Type: Artigo
Title: Hybrid formulation and solution for transient conjugated conduction–external convection
Author(s)/Inventor(s): Naveira-Cotta, Carolina Palma
Lachi, Mohammed
Cotta, Renato Machado
Padet, Jacques Pierre
Abstract: Indisponível.
Abstract: This work presents a hybrid numerical–analytical solution for transient laminar forced convection over flat plates of non-negligible thickness, subjected to arbitrary time variations of applied wall heat flux at the fluid–solid interface. This conjugated conduction–convection problem is first reformulated through the employment of the coupled integral equations approach (CIEA) to simplify the heat conduction problem on the plate by averaging the related energy equation in the transversal direction. As a result, an improved lumped partial differential formulation for the transversally averaged wall temperature is obtained, while a third kind boundary condition is achieved for the fluid from the heat balance at the solid–fluid interface. From the available steady velocity distributions, a hybrid numerical–analytical solution based on the generalized integral transform technique (GITT), under its partial transformation mode, is then proposed, combined with the method of lines implemented in the Mathematica 5.2 routine NDSolve. The interface heat flux partitions and heat transfer coefficients are readily determined from the wall temperature distributions, as well as the temperature values at any desired point within the fluid. A few test cases for different materials and wall thicknesses are defined to allow for a physical interpretation of the wall participation effect in contrast with the simplified model without conjugation.
Keywords: Conjugated problems
Hybrid methods
Integral transforms
Boundary layer
External convection
Production unit: Núcleo Interdisciplinar de Dinâmica dos Fluidos
Publisher: Elsevier
In: Computer Methods in Applied Mechanics and Engineering
Volume: 52
Issue: 1-2
Issue Date: 3-Aug-2008
DOI: 10.1016/j.ijheatmasstransfer.2008.05.034
Publisher country: Brasil
Language: eng
Right access: Acesso Aberto
ISSN: 0045-7825
Appears in Collections:Engenharias

Files in This Item:
File Description SizeFormat 
2008_COTTA_IJHMT_v52_p112-123-min.pdf583,09 kBAdobe PDFView/Open

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.