Abstract
Direct numerical simulations of an incompressible laminar flow past a perforated plate are carried out at the pore scale. With the aim of evaluating the anisotropic drag of a perforated plate, two simple flow tests have been conducted: i) transpiration flow through a perforated plate with a regular array of cylindrical holes and ii) a linear shear flow over the plate. In the transpiration flow test, the dependence of the pressure drop on the transpiration velocity is discussed for porosities of 0.1–0.4 and hole depth to diameter ratios of 1–3 at pore-level Reynolds numbers of up to 25. The linear shear flow problem is then investigated along with a discussion of the effects of porosity, plate thickness, and pore distribution on the slip velocity at a clear fluid/perforated plate interface. Simple correlations of directional permeabilities and non-Darcy coefficients are also proposed for the perforated plate, with their application to a lid-driven cavity flow.
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