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Granular systems on a vibrating wall: the hydrodynamic boundary condition

โœ Scribed by Rodrigo Soto; M.Malek Mansour

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
109 KB
Volume
327
Category
Article
ISSN
0378-4371

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โœฆ Synopsis

Granular media, uidized by a vibrating wall, is studied in the limit of high frequency. It is shown that if the product A! -5=4 is kept constant, then di erent amplitudes A (with the corresponding frequency !) produce the same macroscopic result. Furthermore, it is found that in the hydrodynamic equations the boundary condition associated to the vibrating wall can be replaced by a stationary heat source. Numerical solutions of the full hydrodynamic conรฟrm these two predictions.

๐Ÿ“œ SIMILAR VOLUMES

A remark on Dirichlet boundary condition
A remark on Dirichlet boundary condition for the nonlinear equation of motion of a vibrating membrane
โœ K. Kikuchi ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 469 KB

The author treated in his previous work [4] the nonlinear equation of motion of vibrating membrane \(u_{t t}-\operatorname{div}\left\{\left(1+|\nabla u|^{2}\right)^{-1 / 2} \nabla u\right\}=0\) in the space of functions having bounded variation and constructed approximate solutions in Rothe's method

The Stokes equations with Fourier bounda
The Stokes equations with Fourier boundary conditions on a wall with asperities
โœ Youcef Amirat; Blanca Climent; Enrique Fernรกndez-Cara; Jacques Simon ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 180 KB

## Abstract We study the effect of the rugosity of a wall on the solution of the Stokes system complemented with Fourier boundary conditions. We consider the case of small periodic asperities of size __ฮต__. We prove that the velocity field, pressure and drag, respectively, converge to the velocity