A Local Thermal Non-Equilibrium Analysis of Forced Convective Heat Transfer in a Metal Foam Filled Channel

Ando Kenji, Kuwahara Fujio, Yang Chen, Nakayama Akira

doi:10.1252/kakoronbunshu.39.78

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Other Title

発泡金属充填チャネル流路の強制対流熱伝達の局所非熱平衡解析
ハッポウキンゾクジュウテンチャネルリュウロノキョウセイタイリュウネツデンタツノキョクショヒネツヘイコウカイセキ

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Description

A two energy equation model based on the effective porosity concept has been introduced to attack the local thermal non-equilibrium problem of forced convection in a metal foam filled channel. Non-thermal equilibrium profiles of air and solid temperatures across the channel are sought solving the set of the energy equations in which both tortuosity and thermal dispersion neglected in most of previous analyses are properly and fully accounted for. Exact solutions are found, assuming a plug flow, for the two cases of thermally fully developed convective flows through a channel, namely, the case of isothermal hot and cold walls and the case of constant heat flux walls. The resulting temperature profiles across the channel for the case of metal foam and air combination reveals that the local thermal equilibrium assumption may hold for the case of isothermal walls, but, may fail for the case of constant heat flux walls. Thus, the two energy equation model must be used for such thermal problems.

Journal

KAGAKU KOGAKU RONBUNSHU

KAGAKU KOGAKU RONBUNSHU 39 (2), 78-85, 2013

The Society of Chemical Engineers, Japan

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