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A Volume Averaging Theory for Convective Flow in a Nanofluid Saturated Metal Foam

Department of Mechanical Engineering, Shizuoka University, 3-5-1 Johoku, Naka-Ku, Hamamatsu 432-8561, Japan
School of Chemical Engineering, Fuzhou University, Fuzhou 350116, China
School of Civil Engineering and Architecture, Wuhan Polytechnic University, Wuhan 430023, China
Author to whom correspondence should be addressed.
Academic Editors: Mehrdad Massoudi and Phuoc X. Tran
Received: 6 January 2016 / Revised: 24 February 2016 / Accepted: 29 February 2016 / Published: 8 March 2016
(This article belongs to the Special Issue Fundamental Studies in Flow and Heat Transfer in Nanofluids)
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A rigorous derivation of the macroscopic governing equations for convective flow in a nanofluid saturated metal foam has been conducted using the volume averaging theory originally developed for analyzing heat and fluid flow in porous media. The nanoparticle conservation equation at a pore scale based on the Buongiorno model has been integrated over a local control volume together with the equations of continuity, Navier–Stokes and energy conservation. The unknown terms resulting from the volume averaging procedure were modeled mathematically to obtain a closed set of volume averaged versions of the governing equations. This set of the volume averaged governing equations was analytically solved to find the velocity, temperature and nanoparticle distributions and heat transfer characteristics resulting from both thermal and nanoparticle mechanical dispersions in a nanofluid saturated metal foam. Eventually, the analysis revealed that an unconventionally high level of the heat transfer rate (about 80 times as high as the case of base fluid convection without a metal foam) can be attained by combination of metal foam and nanofluid. View Full-Text
Keywords: metal foam; nanofluid; thermal non-equilibrium; dispersion; conductivity metal foam; nanofluid; thermal non-equilibrium; dispersion; conductivity

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Zhang, W.; Li, W.; Yang, C.; Nakayama, A. A Volume Averaging Theory for Convective Flow in a Nanofluid Saturated Metal Foam. Fluids 2016, 1, 8.

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