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
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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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
\by S.~G.~Ponomarev, M.~I.~Stoynov
\paper 2-dimensional streamwise periodical solutions of Navier--Stokes equations for plane channel
\jour Matem. Mod.
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