Quasilaminar regime in the linear response of a turbulent flow to wall waviness

Paolo Luchini (1) , François Charru (2)

1 UNISA - Università degli Studi di Salerno = University of Salerno
2 IMFT - Institut de mécanique des fluides de Toulouse

The linear response of the wall-shear stress of a turbulent flow to wall waviness is analyzed in the context of a comparison between existing experiments, direct numerical simulations, and analytical approximations. The spectral region where the response is largest is found to be amenable to a simplified quasilaminar analysis. The end result is a parameterless description of this phenomenon that completely captures its physics in a single analytical formula, a Padé approximation of the response function.

Mots clés: Turbulent flow; Sediment transport; Shear layers; Structure & turbulence of boundary layers

Domaines: Mécanique des fluides [physics.class-ph]

Paolo Luchini, François Charru. Quasilaminar regime in the linear response of a turbulent flow to wall waviness. Physical Review Fluids, 2017, 2 (1), pp.012601. ⟨10.1103/PhysRevFluids.2.012601⟩. ⟨hal-02077327⟩