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High-Reynolds-number turbulence in a shear-free boundary layer: revisiting the Hunt-Graham theory. (English) Zbl 1077.76029

The goal is to determine the order of magnitude of the vortical corrections produced by the strain associated with the large-scale eddies impinging on the surface. An estimate of these corrections is obtained by considering the entrophy budget and balancing the stretching term by nonlinear contributions and dissipation. The author shows that a leading-order expression for the pressure disturbance induced by the surface can be derived from the full Navier-Stokes equations without neglecting the main nonlinearities or the viscous term.

MSC:

76F40 Turbulent boundary layers
76D05 Navier-Stokes equations for incompressible viscous fluids
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