Open Access

ARTICLE

Green Tensor for a General Anisotropic Slip Condition

A. Sellier, N. Ghalia

Computer Modeling in Engineering & Sciences 2011, 78(1), 25-50. https://doi.org/10.3970/cmes.2011.078.025

Abstract

The Green tensor complying with anisotropic slip conditions at the surface of a plane, impermeable, motionless and slipping wall is theoretically obtained and an efficient numerical method is proposed to accurately compute at a very reasonable cpu time cost each of its Cartesian component. The accuracy of the advocated numerical strategy is tested against the Maple Software and the employed procedure makes it possible to calculate the Green tensor for a non-isotropic slip condition at a cpu time cost comparable with the one needed for the less complicated isotropic Navier condition.

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Keywords

Stokes flow, plane wall, non-isotropic slip condition, Green tensor.

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