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Gravitational instability in suspension flow

Carpen, Ileana C. and Brady, John F. (2002) Gravitational instability in suspension flow. Journal of Fluid Mechanics, 472 . pp. 201-210. ISSN 0022-1120. doi:10.1017/S0022112002002513. https://resolver.caltech.edu/CaltechAUTHORS:CARjfm02

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Abstract

The gravity-driven flow of non-neutrally buoyant suspensions is shown to be unstable to spanwise perturbations when the shearing motion generates a density profile that increases with height. The instability is simply due to having heavier material over light – a Rayleigh–Taylor-like instability. The wavelength of the fastest growing disturbance is on the order of the thickness of the suspension layer. The parameters important to the problem are the angle of inclination of the layer relative to gravity, the relative density difference between the particles and the fluid, the ratio of the particle size to the thickness of the layer and the bulk volume fraction of particles. The instability is illustrated for a range of these parameters and shown to be most pronounced at intermediate values thereof. This instability mechanism may play an important role in pattern formation in multiphase flows.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1017/S0022112002002513DOIUNSPECIFIED
ORCID:
AuthorORCID
Brady, John F.0000-0001-5817-9128
Additional Information:"Reprinted with the permission of Cambridge University Press." (Received June 17 2002) (Revised August 26 2002) Published online 30 November 2002 The authors would like to thank Dr Z. Fang for his help with the numerical solution of the base-state problem as well as for providing the Stokesian Dynamics simulation results.
Subject Keywords:ROTATING HORIZONTAL CYLINDER; PRESSURE-DRIVEN FLOW; SHEARED SUSPENSIONS; GRANULAR FLOWS; SEGREGATION; LAYER; SAND
DOI:10.1017/S0022112002002513
Record Number:CaltechAUTHORS:CARjfm02
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:CARjfm02
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:1586
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:01 Feb 2006
Last Modified:08 Nov 2021 19:11

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