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Nelin. Dinam., 2019, Volume 15, Number 2, Pages 125–134 (Mi nd646)  

Nonlinear physics and mechanics

A Spherical Particle Settling Towards a Corrugated Wall

Kh. Lamzoud, R. Assoudi, F. Bouisfi, M. Chaoui

Faculty of sciences, Moulay Ismail University, Marjane 2, BP:298, Meknes 50050, Morocco

Abstract: Based on the assumption of low Reynolds number, the flow around a spherical particle settling towards a corrugated wall in a fluid at rest is described by Stokes equations. In the case of the small amplitude of wall roughness, the asymptotic expansion coupled with the Lorentz reciprocal theorem are used to derive analytical expressions of the hydrodynamic effects due to wall roughness. The evolution of these effects in terms of roughness parameters and also the sphere-wall distance are discussed.

Keywords: Stokes equations, low Reynolds number, roughness effects, asymptotic expansion, Lorentz reciprocal theorem

Funding Agency
The work was supported by Faculty of science, Department of physics, Moulay Ismail University.


DOI: https://doi.org/10.20537/nd190202

Full text: PDF file (521 kB)
References: PDF file   HTML file

MSC: 70E15, 70E20
Received: 30.04.2019
Accepted:14.06.2019

Citation: Kh. Lamzoud, R. Assoudi, F. Bouisfi, M. Chaoui, “A Spherical Particle Settling Towards a Corrugated Wall”, Nelin. Dinam., 15:2 (2019), 125–134

Citation in format AMSBIB
\Bibitem{LamAssBou19}
\by Kh.~Lamzoud, R.~Assoudi, F.~Bouisfi, M.~Chaoui
\paper A Spherical Particle Settling Towards a Corrugated Wall
\jour Nelin. Dinam.
\yr 2019
\vol 15
\issue 2
\pages 125--134
\mathnet{http://mi.mathnet.ru/nd646}
\crossref{https://doi.org/10.20537/nd190202}


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