COUPLED BURGERS EQUATIONS - A MODEL OF POLYDISPERSIVE SEDIMENTATION
Abstract
This paper compares theory and experiment for the kinetics of time-dependent sedimentation. We discuss non-interacting suspensions and colloids which may exhibit behavior similar to the one-dimensional motion of compressible gas. The velocity of sedimentation (or creaming) depends upon the volume fraction of the constituting particles and leads to Burgers-like equations for concentration profiles. It is shown that even the bi-dispersive system of two coupled Burgers equations has rich dynamics. The study of polydispersive case reveals a continuous ``renormalization'' of the polydispersity. We compare the Burgers system evolution with the experimental results on mono- and polydispersive sedimentation. The influence of thermal fluctuations is briefly discussed.
Keywords
Cite
@article{arxiv.cond-mat/9501021,
title = {COUPLED BURGERS EQUATIONS - A MODEL OF POLYDISPERSIVE SEDIMENTATION},
author = {Sergei E. Esipov},
journal= {arXiv preprint arXiv:cond-mat/9501021},
year = {2016}
}
Comments
35 pages, PHYZZX.TEX, six figures upon request (please enclose your postal address)