STEADY FLOWS OF SECOND-GRADE FLUIDS SUBJECT TO STICK-SLIP BOUNDARY CONDITIONS

Abstract eng:
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.

• Export as: BibTeX | MARC | MARCXML | DC | EndNote | NLM | RefWorks
• Add to your basket