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 Matem. Mod., 2007, Volume 19, Number 6, Pages 118–128 (Mi mm984)

2-dimensional streamwise periodical solutions of Navier–Stokes equations for plane channel

S. G. Ponomarev, M. I. Stoynov

Institute for Mathematical Modelling, Russian Academy of Sciences

Abstract: Results of computer simulations are given for nonstationary viscous incompressible fluid flows in an infinite plane channel. Two-dimensional streamwise periodic solutions of the Navier–Stokes equations are investigated. It is shown that if the wave number $\alpha_0$ tends to zero the integral characteristics of the flows are no longer dependent on $\alpha_0$ and determined by the Reynolds number only. Nonuniqueness of secondary longwave flows is established. Regions of existence for the secondary flows with different $\alpha_0$ are studied.

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Citation: S. G. Ponomarev, M. I. Stoynov, “2-dimensional streamwise periodical solutions of Navier–Stokes equations for plane channel”, Matem. Mod., 19:6 (2007), 118–128

Citation in format AMSBIB
\Bibitem{PonSto07} \by S.~G.~Ponomarev, M.~I.~Stoynov \paper 2-dimensional streamwise periodical solutions of Navier--Stokes equations for plane channel \jour Matem. Mod. \yr 2007 \vol 19 \issue 6 \pages 118--128 \mathnet{http://mi.mathnet.ru/mm984} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=2423993} \zmath{https://zbmath.org/?q=an:1137.76345}