Nonlinear hydrodynamic phenomena in Stokes flow regime

Document Type

Conference Proceeding

Publication Date

8-15-2010

Abstract

We investigate nonlinear phenomena in dispersed two-phase systems under creeping-flow conditions. We consider nonlinear evolution of a single deformed drop and collective dynamics of arrays of hydrodynamically coupled particles. To explore physical mechanisms of system instabilities, chaotic drop evolution, and structural transitions in particle arrays we use simple models, such as small-deformation equations and effective-medium theory. We find numerical and analytical solutions of the simplified governing equations. The small-deformation equations for drop dynamics are analyzed using results of dynamical systems theory. Our investigations shed new light on the dynamics of complex fluids, where the nonlinearity often stems from the evolving boundary conditions in Stokes flow. © 2009 Elsevier B.V. All rights reserved.

Identifier

77957609082 (Scopus)

Publication Title

Physica D Nonlinear Phenomena

External Full Text Location

https://doi.org/10.1016/j.physd.2009.11.013

ISSN

01672789

First Page

1214

Last Page

1224

Issue

14

Volume

239

Grant

1059745

Fund Ref

National Science Foundation

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