Journal of Fluid Mechanics

Dynamic simulation of hydrodynamically interacting particles

L.  Durlofsky a1, J. F.  Brady a1 and G.  Bossis a2
a1 Chemical Engineering, California Institute of Technology, Pasadena, CA 91125, USA
a2 Laboratorie de Physique de la Matière Condensée, Université de Nice. Parc Valrose, 06034 Nice Cedex, France

Article author query
durlofsky l   [Google Scholar] 
brady jf   [Google Scholar] 
bossis g   [Google Scholar] 


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.

(Published Online April 21 2006)
(Received June 18 1986)