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.
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.
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Journal of Mathematical Sciences: Advances and Applications