Dokument: Axisymmetric Stokes flow due to a point-force singularity acting between two coaxially positioned rigid no-slip disks
| Titel: | Axisymmetric Stokes flow due to a point-force singularity acting between two coaxially positioned rigid no-slip disks | |||||||
| URL für Lesezeichen: | https://docserv.uni-duesseldorf.de/servlets/DocumentServlet?id=71463 | |||||||
| URN (NBN): | urn:nbn:de:hbz:061-20251121-112154-4 | |||||||
| Kollektion: | Publikationen | |||||||
| Sprache: | Englisch | |||||||
| Dokumententyp: | Wissenschaftliche Texte » Artikel, Aufsatz | |||||||
| Medientyp: | Text | |||||||
| Autoren: | Daddi-Moussa-Ider, Abdallah [Autor] Sprenger, Alexander R. [Autor] Löwen, Hartmut [Autor] Menzel, Andreas M. [Autor] Amarouchene, Yacine [Autor] Salez, Thomas [Autor] Schönecker, Clarissa [Autor] Richter, Thomas [Autor] | |||||||
| Dateien: |
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| Stichwörter: | Navier–Stokes equations , colloids | |||||||
| Beschreibung: | We investigate theoretically, on the basis of the steady Stokes equations for a viscous incompressible fluid, the flow induced by a stokeslet located on the centre axis of two coaxially positioned rigid disks. The stokeslet is directed along the centre axis. No-slip boundary conditions are assumed to hold at the surfaces of the disks. We perform the calculation of the associated Green's function in large parts analytically, reducing the spatial evaluation of the flow field to one-dimensional integrations amenable to numerical treatment. To this end, we formulate the solution of the hydrodynamic problem for the viscous flow surrounding the two disks as a mixed boundary-value problem, which we then reduce to a system of four dual integral equations. We show the existence of viscous toroidal eddies arising in the fluid domain bounded by the two disks, manifested in the plane containing the centre axis through adjacent counter-rotating eddies. Additionally, we probe the effect of the confining disks on the slow dynamics of a point-like particle by evaluating the hydrodynamic mobility function associated with axial motion. Thereupon, we assess the appropriateness of the commonly employed superposition approximation and discuss its validity and applicability as a function of the geometrical properties of the system. Additionally, we complement our semi-analytical approach by finite-element computer simulations, which reveals a good agreement. Our results may find applications in guiding the design of microparticle-based sensing devices and electrokinetic transport in small-scale capacitors. | |||||||
| Rechtliche Vermerke: | Originalveröffentlichung:
Daddi-Moussa-Ider, A., Sprenger, A. R., Amarouchene, Y., Salez, T., Schönecker, C., Richter, T., Löwen, H., & Menzel, A. (2020). Axisymmetric Stokes flow due to a point-force singularity acting between two coaxially positioned rigid no-slip disks. Journal of Fluid Mechanics, 904, Article A34. https://doi.org/10.1017/jfm.2020.706 | |||||||
| Lizenz: |  Dieses Werk ist lizenziert unter einer Creative Commons Namensnennung 4.0 International Lizenz | |||||||
| Fachbereich / Einrichtung: | Mathematisch- Naturwissenschaftliche Fakultät | |||||||
| Dokument erstellt am: | 21.11.2025 | |||||||
| Dateien geändert am: | 21.11.2025 |
