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Darcy‐Brinkman flow through a slider bearing with surface roughnesses
Author(s) -
Faltas M.S.,
Sherief H.H.,
Mansour M.A.
Publication year - 2020
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.201900287
Subject(s) - slider , surface finish , surface roughness , mechanics , materials science , homogeneous , darcy number , darcy's law , permeability (electromagnetism) , limiting , flow (mathematics) , porosity , porous medium , composite material , physics , thermodynamics , reynolds number , chemistry , mechanical engineering , engineering , turbulence , biochemistry , membrane , nusselt number
A double perturbation analysis is performed to the Darcy–Brinkman equations for a two‐dimensional slider bearing with homogeneous surface roughness. The surface roughness is parallel to the flow direction. The stationary random model is used to mimic the surface roughness of the slider bearing walls. The slider is filled with a porous medium. The effect of the corrugations on the average load capacity is examined as function of wave length and the permeability of the slider bearing. The limiting cases of Stokes and Darcy's flows are discussed.