«Proceedings of Gubkin University»

VISCOUS FLOW IN A CYLINDRICAL CHANNEL WITH SURFACE COATED WITH POROUS LAYER

UDC: 532.546.2
DOI: -

Authors:

¹ Gubkin Russian State University of Oil and Gas

Keywords: porous layer, viscous liquid, Brinkman equation, length of slip, model descripttion

Annotation:

The flow of viscous incompressible fluid in a long cylindrical pore, with the inner surface covered with a permeable porous layer is considered in two mathematical models. The first of these uses the Brinkman equation for the porous layer and the second replaces the porous layer with Navier-slip condition on the wall of the pore. The feasibility and validity of the proposed models to calculate the displacement of oil from porous media are discussed.

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