Durlofsky , L. and Brady, J. F. and Bossis, G. (1987) Dynamic simulation of hydrodynamically interacting particles. Journal of Fluid Mechanics, 180 . pp. 21-49. ISSN 0022-1120 http://resolver.caltech.edu/CaltechAUTHORS:20120625-142119475
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A general method for computing the hydrodynamic interactions among N suspended particles, under the condition of vanishingly small particle Reynolds number, is presented. The method accounts for both near-field lubrication effects and the dominant many-body interactions. The many-body hydrodynamic interactions reproduce the screening characteristic of porous media and the ‘effective viscosity’ of free suspensions. The method is accurate and computationally efficient, permitting the dynamic simulation of arbitrarily configured many-particle systems. The hydrodynamic interactions calculated are shown to agree well with available exact calculations for small numbers of particles and to reproduce slender-body theory for linear chains of particles. The method can be used to determine static (i.e. configuration specific) and dynamic properties of suspended particles that interact through both hydrodynamic and non-hydrodynamic forces, where the latter may be any type of Brownian. colloidal, interparticle or external force. The method is also readily extended to dynamically simulate both unbounded and bounded suspensions.
|Additional Information:||© 1987 Cambridge University Press. Received June 18 1986. Published Online April 21 2006. This work was supported in part by the National Science Foundation under grants PYI CBT-8451597 and INT-8413695 and by the Centre de Calcul Vectoriel pour la Recherche.|
|Official Citation:||L. Durlofsky, J. F. Brady and G. Bossis (1987). Dynamic simulation of hydrodynamically interacting particles. Journal of Fluid Mechanics, 180 , pp 21-49 doi:10.1017/S002211208700171X|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Jason Perez|
|Deposited On:||25 Jun 2012 23:13|
|Last Modified:||26 Dec 2012 15:23|
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