Stokes flow past a slender particle

This paper presents a systematic slender-body theory for a slender particle embedded in an arbitrary Stokes flow. Contrary to previous works, the body is not necessarily of revolution. The approach consists of gaining the sur face stress acting on the particle by asymptotically solving, with respect to a slenderness ratio, a Fredholm boundary integral equation of the first kind. The procedure approximates integrals depending upon a small parameter by invoking a systematic formula. Special attention is paid to particles o f elliptical dress-section and term-to-term comparisons are given for a sle nder ellipsoid embedded in a rather simple Stokes flow.