| Title: | Asymptotic limits of the axisymmetric solution of the Brinkman equation for a point force near a no-slip wall |
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| Authors: | ID Daddi-Moussa-Ider, Abdallah (Author)
ID Vilfan, Andrej, Institut "Jožef Stefan" (Author) |
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| Files: |  URL - Source URL, visit 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
 PDF - Presentation file, download (416,55 KB)
MD5: 0CDC806CA3A38EB0DCC7243C866D5FEA
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| Language: | English |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: |  IJS - Jožef Stefan Institute
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| Abstract: | 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. |
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| Keywords: | low-Reynolds-number flows, porous media |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Submitted for review: | 10.09.2025 |
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| Article acceptance date: | 10.12.2025 |
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| Publication date: | 15.01.2026 |
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| Publisher: | Cambridge University Press |
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| Year of publishing: | 2026 |
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| Number of pages: | str. A25-1-A25-12 |
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| Numbering: | Vol. 1027, article no. A25 |
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| Source: | Združeno kraljestvo |
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| PID: | 20.500.12556/DiRROS-27500  |
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| UDC: | 53 |
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| ISSN on article: | 1469-7645 |
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| DOI: | 10.1017/jfm.2025.11039 |
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| COBISS.SI-ID: | 265616899 |
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| Copyright: | © The Author(s), 2026. |
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| Note: | Nasl. z nasl. zaslona;
Opis vira z dne 21. 1. 2026;
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| Publication date in DiRROS: | 10.02.2026 |
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| Views: | 383 |
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| Downloads: | 63 |
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