CORRELATION BETWEEN NO-SLIP AND SLIP BOUNDARY CONDITIONS ASSOCIATED WITH A TWO-DIMENSIONAL NAVIER-STOKES FLOWS IN A PLANE DIFFUSER

Authors

Ranis Ibragimov, Wenatchee Valley College
Vesselin Vatchev, The University of Texas Rio Grande Valley

Document Type

Article

Publication Date

3-2021

Abstract

We examine the viscous effects of slip boundary conditions for the model describing two-dimensional Navier-Stokes flows in a plane diffuser. It is shown that the velocity profile is related to a half period shifted Weierstrass function with two parameters. This allows to approximate the explicit solution by a Taylor series expansion with two new micro- parameters, that can be measured in physical experiments. It is shown that the assumption for no-slip boundary conditions is stable in the sense that a small perturbation of the boundary values result in a small perturbation in the solutions.

Comments

Copyright 2021 Scientific Advances Publishers

Recommended Citation

Ibragimov, Ranis, and Vesselin Vatchev. 2021. “CORRELATION BETWEEN NO-SLIP AND SLIP BOUNDARY CONDITIONS ASSOCIATED WITH A TWO-DIMENSIONAL NAVIER-STOKES FLOWS IN A PLANE DIFFUSER.” Journal of Mathematical Sciences: Advances and Applications 65 (March): 1–23. https://doi.org/10.18642/jmsaa_7100122194.

Creative Commons License

This work is licensed under a Creative Commons Attribution 3.0 License.

Publication Title

Journal of Mathematical Sciences: Advances and Applications

DOI

10.18642/jmsaa_7100122194