Impact of Weak Particle Inertia on a Dilute Suspension of Ellipsoids. Issue 5 (28th July 2016)

• Record Type: Journal Article
• Authors: Vibe, Alexander; Marheineke, Nicole
• Is Part Of: Journal of computational and theoretical transport. Volume 45:Issue 5(2016)
• Page Start: 396
• Page End: 409
• Publication Date: 2016-07-28
• Subjects: asymptotic analysis -- macroscopic stress models -- fiber suspension flow; Transport theory -- Periodicals; Statistical physics -- Periodicals; Statistical physics; Transport theory; Periodicals; 530.138
• DOI: 10.1080/23324309.2016.1181090
• Languages: English
• ISSNs: 2332-4309

Abstract

ABSTRACT: In this paper, we investigate asymptotical models for the motion of small rigid ellipsoids suspended in a Newtonian fluid. The microscale models account for particle inertia and form the basis for dilute suspension modeling. They were derived from the description of first principles for a coupled particle-fluid problem by asymptotical analysis in the size ratio in Vibe and Marheineke(2015), where the effect of inertia was incorporated via different scalings of the particle momentum balances. We classify three different inertial regimes and analyze numerically their impact on the particle motion. We observe reasonable physical translational and rotational behavior.