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Porous plates at incidence.

Chandan Bose1,2, Callum Bruce1, Ignazio Maria Viola1

  • 1School of Engineering, Institute for Energy Systems, University of Edinburgh, Edinburgh, EH9 3FB UK.

Theoretical and Computational Fluid Dynamics
|February 17, 2025
PubMed
Summary
This summary is machine-generated.

Permeability significantly alters fluid flow around rectangular plates. Increasing permeability (Darcy number) generally reduces forces but can increase plate-wise force in specific ranges, impacting shear layers.

Keywords:
Darcy–Brinkman–Forchheimer equationDirect numerical simulationsImpulse theoryInfinite cylinder with a squared sectionPermeable plates

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Area of Science:

  • Fluid Dynamics
  • Computational Fluid Dynamics
  • Hydrodynamics

Background:

  • Understanding fluid flow dynamics around objects is crucial in various engineering applications.
  • The effect of object permeability on flow topology and forces is less understood, especially for 2D rectangular plates.

Purpose of the Study:

  • To investigate the impact of permeability, quantified by the Darcy number (Da), on the flow topology and forces acting on 2D rectangular plates.
  • To analyze the wake behavior, vortex dynamics, and force coefficients (lift, drag, torque) across a range of Reynolds numbers (Re) and flow incidences.

Main Methods:

  • Numerical simulations were conducted for Reynolds numbers (Re) between 30 and 90.
  • The study systematically varied the Darcy number (Da) and flow incidence angle ().

Main Results:

  • The wake remains steady for all Darcy numbers and flow incidences.
  • Increasing Darcy number (Da) modifies the vortex dipole structure, shortening and eventually annihilating it at a critical Da.
  • Lift, drag, and torque generally decrease with increasing Da, though plate-wise force can increase in specific Da and incidence ranges.

Conclusions:

  • Permeability plays a critical role in dictating flow separation, vortex dynamics, and force generation on permeable plates.
  • The findings provide insights into drag and lift reduction mechanisms related to shear layer weakening with increasing permeability.
  • This research is valuable for designing and analyzing small permeable bodies in fluid flows.