Fossà, L. orcid.org/0000-0001-7138-5903 and Ricco, P. orcid.org/0000-0003-1537-1667 (2025) Compressible boundary layers over isotropic porous surfaces. Physical Review Fluids, 10 (9). 094101. ISSN: 2469-990X
Abstract
A compressible laminar boundary layer developing over an isotropic porous substrate is investigated by asymptotic and numerical methods. The substrate is modeled as an array of cubes. The momentum and enthalpy balance equations are derived by volume averaging. The self-similar solution proposed by Tsiberkin [Transp. Porous Media 121, 109 (2018)] for streamwise-growing permeability is extended to include compressibility, heat conduction, and a nonlinear drag. The velocity profile shows an inflection point at the free fluid-porous interfacial layer, below which it decreases to zero. A marked reduction of the adiabatic recovery temperature of the fluid and the velocity gradient at the interface is observed for high porosity, large grains, and relatively high Mach numbers. The temperature imposed at the bottom of the porous substrate has a negligible influence on the shear stresses.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2025 American Physical Society. Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. https://creativecommons.org/licenses/by/4.0/ |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Engineering (Sheffield) > School of Mechanical, Aerospace and Civil Engineering |
Date Deposited: | 06 Oct 2025 11:59 |
Last Modified: | 06 Oct 2025 11:59 |
Status: | Published |
Publisher: | American Physical Society (APS) |
Refereed: | Yes |
Identification Number: | 10.1103/5j49-bxxs |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:232598 |