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International Journal of Fluid Mechanics Research

ISSN Print: 1064-2277
ISSN Online: 2152-5102

International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v30.i1.90
18 pages

Numerical Simulation of Turbulent Flows over Compliant Surfaces

G. A. Voropayev
Institute of Hydromechanics of National Academy of Sciences of Ukraine, Kyiv, Ukraine
N. V. Rozumnyuk
Institute of Hydromechanics of National Academy of Sciences of Ukraine, Kyiv, Ukraine

ABSTRACT

A closed system of equations, governing the hydrodynamic interaction between a turbulent boundary layer and a deformable viscoelastic surface which simulate the skin integument of cetaceans, is obtained in the paper. The generalizations of the closure hypothesis for the mechanisms of redistribution and turbulent diffusion (third moments) in the transport equations for the second moments are developed. The approximations of boundary conditions suggested in the paper account for the energy exchange through the deformed interface between the turbulent boundary layer and the viscoelastic layer. The variation range of the mechanical and geometrical parameters of the viscoelastic covers as functions of a velocity of the flow is determined. The numerical results which provide an explanation for the friction drag reduction in the aquatic life are obtained.