Permeability and Turbulence Over Perforated Plates

Journal Article (2022)
Author(s)

H. Shahzad (TU Delft - Aerodynamics)

S. Hickel (TU Delft - Aerodynamics)

D. Modesti (TU Delft - Aerodynamics)

Research Group
Aerodynamics
Copyright
© 2022 H. Shahzad, S. Hickel, D. Modesti
DOI related publication
https://doi.org/10.1007/s10494-022-00337-7
More Info
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Publication Year
2022
Language
English
Copyright
© 2022 H. Shahzad, S. Hickel, D. Modesti
Related content
Research Group
Aerodynamics
Issue number
4
Volume number
109
Pages (from-to)
1241-1254
Reuse Rights

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Abstract

We perform direct numerical simulations of turbulent flow at friction Reynolds number Reτ≈ 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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