Note on the method of matched-asymptotic expansions for determining the force acting on a particle

2013/07/24 by Fabien Candelier, Candelier, Fabien, Rabah Mehaddi +3
Earth and Planetary Sciences · Engineering · Environmental Science · #Coagulation and Flocculation Studies #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Mathematical Physics (math-ph) #Particle Dynamics in Fluid Flows #nanoparticles nucleation surface interactions

paper · pdf · doi:10.48550/arxiv.1307.6314

openalex publication_date 2013/07/24 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

This paper is an addendum to the article by Candelier, Mehaddi & Vauquelin (2013) where the motion of a particle in a stratified fluid is investigated theoretically, at small Reynolds and Péclet numbers. We review briefly the method of matched asymptotic expansions which is generally used in order to determine the force acting on a particle embedded in a given flow, in order to account for small, but finite, inertia effects. As part of this method, we present an alternative matching procedure, which is based on a series expansion of the far-field solution of the problem, performed in the sense of generalized functions. The way to perform such a series is presented succinctly and a simple example is provided.

Related

• Force-dependence of the rigid-body motion for an arbitrarily shaped particle in a forced, incompressible Stokes flow
• Generating, from scratch, the near-field asymptotic forms of scalar resistance functions for two unequal rigid spheres in low Reynolds number flow
• Asymptotic analysis for hydrodynamic force acting on stiff particles
• Density-contrast induced inertial forces on particles in oscillatory flows
• An Explicit Method for Numerical Solution of the Equation Governing the Motion of a Particle Under Arbitrary Force Fields