Engineering Mechanics

Proceedings Vol. 23 (2017)

ENGINEERING MECHANICS 2017

Copyright © 2017 Brno University of Technology, Faculty of Mechanical Engineering, Institute of Solid Mechanics, Mechatronics and Biomechanics, Brno

 

Baranovskii E. S., Artemov M. A.
pages 110 - 113, full text

This paper is devoted to analyzing steady flows of second-grade fluids in a plane channel with impermeable walls under the assumption that the flows are driven by constant pressure gradient. We use various boundary conditions, namely, no-slip, stick-slip, free-slip, and mixed boundary conditions, assuming that the solid walls may include two parts differing by their physical properties. For each of the considered boundary value problems, we present the exact solutions, which characterize the velocity field and the pressure in the channel. Moreover, for model parameters we establish explicit relationships that guarantee the slip (no-slip) regime on the solid walls.

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