Open Access

ARTICLE

Enhancement Transport Phenomena in the Navier-Stokes Shell-like Slip Layer

by J. Badur¹, M. Karcz¹, M. Lemanski¹, L. Nastalek¹

1 Instytut Maszyn Przeplywowych PAN ul. Fiszera 14, 80-952 Gdansk, POLAND
contact author: lnastalek@imp.gda.pl

Computer Modeling in Engineering & Sciences 2011, 73(3), 299-310. https://doi.org/10.3970/cmes.2011.073.299

Abstract

In the paper we propose to remove the classical Navier slip condition and replace it with new generalized Navier-Stokes slip boundary conditions. These conditions are postulated to be ones following from the mass and momentum balance within a thin, shell-like moving boundary layer. Owing to this, the problem consistency between the internal and external friction in a viscous fluid is solved within the framework of a proper form of the layer balances, and a proper form of constitutive relations for appropriate friction forces. Finally, the common features of the Navier, Stokes, Maxwell and Reynolds concepts of a boundary slip layer are compared and revalorized. Classifications of different mobility mechanisms, important for flows in micro- and nano-channels are discussed.

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Keywords

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