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Title of Article

TURBULENT CHANNEL FLOW IN A 4-DIMENSIONAL SPACE


Issue
4
Date
2011

Article type
scientific article
UDC
532.5
Pages
2387-2389
Keywords
 


Authors
Nikitin N.V.
NII mekhaniki Moskovskogo gosuniversiteta im. M.V. Lomonosova


Abstract
The 4-dimensional (4D) Navier - Stokes equations are solved numerically in the geometry corresponding to a plane channel. The instability of 3D turbulent solutions is shown with respect to small 4D perturbations in the considered Reynolds number range from 4000 to 10000. The rate of perturbation growth is a universal quantity when it is normalized by viscous scales. It is found that 4D turbulent solutions exhibit considerably lower wall friction compared with the corresponding 3D solutions. The drop in the viscous drag is about 45% in the all the considered cases. The existence domain of 4D solutions shifts towards higher Reynolds number up to about 4000 (from 1860 in the 3D case). Thus, laminar Poiseuile flow appeared to be globally more stable in the 4D space than in the 3D one.

File (in Russian)