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Analysis of convective heat transfer in channel flow with arbitrary rough surface
Author(s) -
Ahn Jaewook,
Choi JungIl,
Kang Kyungkeun
Publication year - 2019
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.201700363
Subject(s) - nusselt number , heat transfer , boundary layer , mechanics , convective heat transfer , boundary (topology) , churchill–bernstein equation , flow (mathematics) , surface finish , mathematics , geometry , materials science , physics , mathematical analysis , reynolds number , turbulence , composite material
We consider forced convective heat transfer in a channel flow with a rough boundary. The roughness of the domain is expressed as the product of length scale ε and arbitrary smooth function h . The boundaries of the channel are assumed as hot (top) and cold (bottom) walls. We derive an effective model reflecting the rough boundary effects, and analyze the average Nusselt number and wall laws (effective boundary conditions). Consequently, we provide the criterion for the shape of the rough boundary to enhance the heat transfer. We further confirm that the Robin–type effective boundary condition is sufficient to describe the effect of the rough layer on the heat transfer.