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JOURNALS // Vestnik Sankt-Peterburgskogo Universiteta. Seriya 10. Prikladnaya Matematika. Informatika. Protsessy Upravleniya // Archive

Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 2013 Issue 4, Pages 42–48 (Mi vspui154)

Applied mathematics

Asymptotic behavior model of turbulence near the surface

S. U. Malamanov

St. Petersburg State University, 199034 St. Petersburg, Russian Federation

Abstract: The paper deals with the asymptotic analysis of the equations describing fluctuating structure of the turbulent flow of incompressible fluid. In addition to conventional viscous sublayer and a “buffer” zone — another area adjacent to the surface, and whose size of comparable with the height of natural roughness is considered. For this region approximate equations for the components of the Reynolds stress tensor are obtained and theor solutions are found. Bibliogr. 6.

Keywords: asymptotic analysis, turbulence, pulsation, Reynolds stress, the natural roughness.

UDC: 535.517

Received: May 30, 2013



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