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On Stokes Flow between Parallel Plates with Stationary Random Surface Roughness
Author(s) -
PhanThien N.
Publication year - 1980
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.19800601206
Subject(s) - amplitude , compressibility , newtonian fluid , flow (mathematics) , pressure drop , mechanics , surface finish , surface roughness , stokes flow , mathematical analysis , surface (topology) , incompressible flow , function (biology) , physics , expression (computer science) , mathematics , geometry , materials science , optics , thermodynamics , computer science , composite material , programming language , evolutionary biology , biology
The problems of Stokes flow of an incompressible Newtonian fluid between corrugated plates are considered. The corrugations are of small amplitude ϵ and are represented by stationary random functions. An exact solution (up to O(ϵ 2 )) is developed leading to an expression for the pressure drop enhancement as a function of the statistics of the corrugations. Simplifications of this expression in the case of sinuisoidal and slowly‐varying corrugations are discussed.