20.500.12556/DiRROS-27500 Asymptotic limits of the axisymmetric solution of the Brinkman equation for a point force near a no-slip wall We derive the far-field and near-field solutions for the Green’s function of a point force acting perpendicular to a no-slip wall in a Brinkman fluid, focusing on the regime where the distance between the force and the wall is much smaller than the screening length. The general solution is obtained in closed form up to a single integral, and can be systematically expanded in a Taylor series in both the far-field and near-field limits. The flow can then be expressed as a series of source-multipole singularities with an additional, analytically known, correction in the proximity of the wall. Comparisons with numerical integration demonstrate the accuracy and reliability of the asymptotic expansions. The results are also applicable to the unsteady Stokes flow driven by a localised assembly of forces, such as a beating cilium protruding from a flat surface. low-Reynolds-number flows porous media tokovi pri majhnih Reynoldsovih številih porozni mediji true false true Cambridge University Press Združeno kraljestvo Angleški jezik Slovenski jezik © The Author(s), 2026. Neznano 2026-02-10 11:28:21 2026-02-10 11:28:21 2026-02-11 04:01:08 0000-00-00 00:00:00 2026 0 0 Nasl. z nasl. zaslona; Opis vira z dne 21. 1. 2026; str. A25-1-A25-12 Vol. 1027, article no. A25 15 Jan 2026 0000-00-00 Zaloznikova Objavljeno NiDoloceno 2025-09-10 2025-12-10 2026-01-15 53 1469-7645 10.1017/jfm.2025.11039 265616899 https://www.cambridge.org/core/journals/journal-of-fluid-mechanics/article/asymptotic-limits-of-the-axisymmetric-solution-of-the-brinkman-equation-for-a-point-force-near-a-noslip-wall/B8C3D2597ED400C12B68535F2189339B 1 3ab9bab5-066b-11f1-88c7-001a4af901a5 https://dirros.openscience.si/Dokument.php?lang=slv&id=40260 RAZ_Daddi-Moussa-Ider_Abdallah_2026.pdf RAZ_Daddi-Moussa-Ider_Abdallah_2026.pdf 1 0CDC806CA3A38EB0DCC7243C866D5FEA 57330957c32963fc638c8c6ff20568000779d2e2094d8acb6ee96380df6fab9e 7fb7d505-066b-11f1-88c7-001a4af901a5 https://dirros.openscience.si/Dokument.php?lang=slv&id=40261 Institut Jožef Stefan 0 0 0