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International Heat Transfer Conference 15

ISSN: 2377-424X (online)
ISSN: 2377-4371 (flashdrive)

A Rigorous Derivation and its Applications of Volume Averaged Transport Equations for Heat Transfer in Nanofluid Saturated Metal Foams

Fumika Sakai
Nihon Sekkei Co.

Wenhao Li
Department of Mechanical Engineering, Shizuoka University

Akira Nakayama
Department of Mechanical Engineering, Shizuoka University, 3-5-1 Johoku, Naka-ku, Hamamatsu, 432-8561, Japan; School of Civil Engineering and Architecture, Wuhan Polytechnic University, Wuhan, Hubei 430023, China

DOI: 10.1615/IHTC15.pmd.008575
pages 6579-6593

KEY WORDS: Porous media, Convection, Local thermal non-equilibrium


A macroscopic set of the governing equations for describing heat transfer in nanofluid saturated porous media were derived rigorously using a volume averaging theory, for possible heat transfer applications of metal foams filled with nanofluids as high performance heat exchangers. The microscopic transport equations based on the Buongiorno model for convective heat transfer in nanofluids were modified so as to fully account for the effects of nanoparticle volume fraction distributions on the continuity, momentum and energy equations, and then, were integrated within a local control volume, to obtain an appropriate set of the governing equations in terms of the volume averaged dependent variables. The nonzero terms associated with the interfacial surface integrals and averages of the spatial deviations were subsequently modeled mathematically using the volume averaged dependent variables. The resulting set of the macroscopic equations were used to obtain the analytical solutions for laminar fully developed forced convection in channels and tubes filled with nanofluid saturated metal foams. These analytical solutions reveal that combination of the metal foams and nanofluids is quite effective to attain unconventionally high heat transfer performance, namely, 80 to 100 times more than the case of base fluid convection without a metal foam and thus can be used for next generation high performance heat exchangers.

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