Abstract

AbstractThe 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(ϵ2)) 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.

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