Laminar forced convection in a porous channel with localized heat sources

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Abstract

A numerical study is performed to analyze steady laminar forced convection in a channel filled with a fluid-saturated porous medium and containing discrete heat sources on the bottom wall. Hydrodynamic and heat transfer results are reported for two configurations: (1) a fully porous channel and (2) a channel which contains porous layers located above the heat sources and is nonporous elsewhere. The flow in the porous medium is modeled using the Brinkman-Forchheimer-extended Darcy model. Detailed results of the evolution extended Darcy model. Detailed results of the evolution of the hydrodynamic and thermal boundary layers are provided. The results indicate that as the Darcy number decreases a significant increase in heat transfer is obtained, especially at the leading edge of each heat source. For fixed Reynolds number, the length-averaged Nusselt number reaches an asymptotic value in the Darcian regime (Da≤10-6). In the channel filled with a composite system of fluid and porous layers, it is found that when the width of the heat source and the spacing between the porous layers are of the same magnitude as the channel height, the heat transfer enhancement is almost the same as in the fully porous channel. This result suggests that the fluid/porous layer configuration is a potentially attractive heat transfer augmentation technique for electronic equipment cooling, an end which motivated this study.

Original languageEnglish
Pages (from-to)79-85
Number of pages7
JournalAmerican Society of Mechanical Engineers, Heat Transfer Division, (Publication) HTD
Volume156
StatePublished - 1990
EventWinter Annual Meeting of the American Society of Mechanical Engineers - Dallas, TX, USA
Duration: 25 Nov 199030 Nov 1990

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