Volume 72, Number 6, December 2005
|Page(s)||936 - 942|
|Section||Electromagnetism, optics, acoustics, heat transfer, classical mechanics, and fluid dynamics|
|Published online||23 November 2005|
Steady-state particle distribution of a dilute sedimenting suspension
Warsaw University, Institute of Theoretical Physics - Hoża 69, 00-681 Warsaw, Poland
Accepted: 22 October 2005
The stationary state of a non-Brownian dilute sedimenting suspension of hard particles is studied. The configurational distribution of these particles is the main subject of interest. A hierarchy of equations for the correlation functions, analogous to the BBGKY hierarchy known from kinetic theory, is derived. Next, assuming integrability of the correlations, it is shown that in the low-concentration limit the hierarchy can be truncated leading to an effective equation for the two-particle correlation function. This function has been explicitly calculated, and used to compute the sedimentation coefficient λ. The obtained result is which agrees perfectly with the experiment.
PACS: 47.15.Gf – Low-Reynolds-number (creeping) flows / 82.70.Kj – Emulsions and suspensions
© EDP Sciences, 2005
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