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

Fabien Candelier (1) , Rabah Mehaddi (2) , Olivier Vauquelin (2)

1 IUSTI - Institut universitaire des systèmes thermiques industriels
2 R & T

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.

Mots clés: Multiphase flow; Matched asymptotic expansions

Domaines: Mécanique des fluides [physics.class-ph]; Mécanique des fluides [physics.class-ph]

Fabien Candelier, Rabah Mehaddi, Olivier Vauquelin. Note on the method of matched-asymptotic expansions for determining the force acting on a particle.. 2013. ⟨hal-00847339⟩