Permeability and Turbulence Over Perforated Plates

Journal article (2022)

Authors

H. Shahzad Aerodynamics - Aerospace Engineering

S. Hickel Aerodynamics - Aerospace Engineering

D. Modesti Aerodynamics - Aerospace Engineering

Research Group

Aerodynamics (Aerospace Engineering) (TU Delft)

DOI: https://doi.org/10.1007/s10494-022-00337-7

Direct numerical simulation Wall turbulence Forchheimer permeability Perforated plates Permeable walls

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Published Date

2022

Language

English

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Faculty

Aerospace Engineering

Department

Flow Physics and Technology

Research Group

Aerodynamics

Abstract

We perform direct numerical simulations of turbulent flow at friction Reynolds number Re_τ≈ 500 - 2000 grazing over perforates plates with moderate viscous-scaled orifice diameter d⁺≈ 40 - 160 and analyse the relation between permeability and added drag. Unlike previous studies of turbulent flows over permeable surfaces, we find that the flow inside the orifices is dominated by inertial effects, and that the relevant permeability is the Forchheimer and not the Darcy one. We find evidence of a fully rough regime where the relevant length scale is the inverse of the Forchheimer coefficient, which can be regarded as the resistance experienced by the wall-normal flow. Moreover, we show that, for low porosities, the Forchheimer coefficient can be estimated with good accuracy using a simple analytical relation.

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