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The effect of permeability on the flow structure of porous square cylinders

Published online by Cambridge University Press:  23 April 2024

Chansoo Seol ,
Taewoo Kim  and
Taehoon Kim Open the ORCID record for Taehoon Kim [Opens in a new window]
Chansoo Seol
Affiliation:
Department of Mechanical System Design Engineering, Seoul National University of Science and Technology, 232 Gongneung-ro, Nowon-gu, Seoul 01811, South Korea
Taewoo Kim
Affiliation:
Department of Mechanical System Design Engineering, Seoul National University of Science and Technology, 232 Gongneung-ro, Nowon-gu, Seoul 01811, South Korea
Taehoon Kim*
Affiliation:
Department of Mechanical System Design Engineering, Seoul National University of Science and Technology, 232 Gongneung-ro, Nowon-gu, Seoul 01811, South Korea
*
†Email address for correspondence: tkim99@seoultech.ac.kr
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Abstract

This study experimentally investigates the wake structure of a porous square cylinder in terms of permeability over two decades of $Da$ (i.e. $2.4 \times 10^{-5} < Da < 2.9 \times 10^{-3}$). The porous cylinder, featuring a simple cubic lattice structure, was fabricated using an additive manufacturing technique. This unique method, combined with a periodic and scalable lattice structure, effectively isolates permeability from porosity, making it suitable for an in-depth parametric study. The key parameter, permeability, was directly estimated by measuring the pressure drop and superficial velocity for each porous case in an open-loop pipe flow system. The downstream flow fields were obtained using standard planar particle image velocimetry measurements in an open-loop wind tunnel. Based on the experimental data, structural modifications in the near wake were examined in relation to permeability, leading to the identification of four distinct flow regimes depending on $Da$. Additionally, the downstream flow adjustment length ($L_i$) was assessed by introducing a permeability-based source term into the momentum equation, facilitating the development of an analytical model for $L_i$. The present experimental data support this analytical model, and our results further confirmed that $L_i$ plays a crucial role as a characteristic length scale in the near wake.

JFM classification

Wakes/Jets: Wakes
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 985 , 25 April 2024 , A29
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Copyright
© The Author(s), 2024. Published by Cambridge University Press

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