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

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

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