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
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.
Stokes equations, low Reynolds number, roughness effects, asymptotic expansion, Lorentz reciprocal theorem
|The work was supported by Faculty of science, Department of physics, Moulay Ismail University.
PDF file (521 kB)
MSC: 70E15, 70E20
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
\by Kh.~Lamzoud, R.~Assoudi, F.~Bouisfi, M.~Chaoui
\paper A Spherical Particle Settling Towards a Corrugated Wall
\jour Nelin. Dinam.
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