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Journal of Applied Mechanics and Technical Physics

2013 year, number 5

On One Slip Condition for the Equations of a Viscous Fluid

V. V. Shelukhin and U. A. Khristenko
Keywords: micropolar fluid, mud cake, joint flow

Abstract

By studying the joint flow of a viscous and a micropolar fluid, we obtained a new boundary condition for the equations of the viscous fluid for the case where a thin layer of a granular fluid is present on the interface with the solid. Examples of using this condition in problems of drilling mud flow in the presence of a mud cake on the borehole wall are given.