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Far Field of a Three-Dimensional Laminar Wall Jet

Authors
  • But, I. I.1
  • Gailfullin, A. M.1
  • Zhvick, V. V.1
  • 1 Zhukovski Central Aerohydrodynamic Institute (TsAGI), ul. Zhukovskogo 1, Zhukovsky, Moscow region, 140180, Russia , Zhukovsky (Russia)
Type
Published Article
Journal
Fluid Dynamics
Publisher
Pleiades Publishing
Publication Date
Nov 29, 2021
Volume
56
Issue
6
Pages
812–823
Identifiers
DOI: 10.1134/S0015462821060021
Source
Springer Nature
Keywords
Disciplines
  • Article
License
Green

Abstract

AbstractWe consider a steady submerged laminar jet of viscous incompressible fluid flowing out of a tube and propagating along a solid plane surface. The numerical solution of Navier–Stokes equations is obtained in the stationary three-dimensional formulation. The hypothesis that at large distances from the tube exit the flowfield is described by the self-similar solution of the parabolized Navier–Stokes equations is confirmed. The asymptotic expansions of the self-similar solution are obtained for small and large values of the coordinate in the jet cross-section. Using the numerical solution the self-similarity exponent is determined. An explicit dependence of the self-similar solution on the Reynolds number and the conditions in the jet source is determined.

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