Scattering series in mobility problem for suspensions

TL;DR

This paper simplifies the scattering series in the mobility problem for suspensions of spherical particles in viscous fluids by reducing the types of scattering operators to a single type, streamlining analysis.

Contribution

It introduces a simplified formulation of the scattering series with only one type of single-particle scattering operator, improving computational efficiency.

Findings

Reduced the number of scattering operator types to one

Streamlined the mathematical formulation of the mobility problem

Facilitated easier analysis of suspension dynamics

Abstract

The mobility problem for suspension of spherical particles immersed in an arbitrary flow of a viscous, incompressible fluid is considered in the regime of low Reynolds numbers. The scattering series which appears in the mobility problem is simplified. The simplification relies on the reduction of the number of types of single-particle scattering operators appearing in the scattering series. In our formulation there is only one type of single-particle scattering operator.