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Compressible boundary layers over isotropic porous surfaces

Ludovico Fossà*,† and Pierre Ricco

  • School of Mechanical, Aerospace and Civil Engineering, Mappin Building, University of Sheffield, S13JD Sheffield, United Kingdom

  • *Contact author: ludovico-fossa@oist.jp
  • †Present address: Complex Fluids and Flows Unit, Okinawa Institute of Science and Technology Graduate University, 1919-1 Tancha, Onna-son, Kunigami-gun, Okinawa-ken 904-0495, Japan.
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Phys. Rev. Fluids 10, 094101 – Published 29 September, 2025

DOI: https://doi.org/10.1103/5j49-bxxs

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.

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Phys. Rev. Fluids 10, 094101– Published 29 September, 2025
  • Received 11 June 2025
  • Accepted 11 August 2025
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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.

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