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

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

Instytut Maszyn Przeplywowych PAN ul. Fiszera 14, 80-952 Gdansk, POLAND
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Computer Modeling in Engineering & Sciences 2011, 73(3), 299-310.


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.


Cite This Article

Badur, J., Karcz, M., Lemanski, M., Nastalek, L. (2011). Enhancement Transport Phenomena in the Navier-Stokes Shell-like Slip Layer. CMES-Computer Modeling in Engineering & Sciences, 73(3), 299–310.

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