Inertial migration of oblate spheroids in a plane channel

Autor: Jens Harting, Anna S. Gekova, Olga I. Vinogradova, Evgeny S. Asmolov, Tatiana V. Nizkaya
Rok vydání: 2020
Předmět:
Zdroj: Physics of Fluids, 32(11):0028353. American Institute of Physics
Physics of fluids 32(11), 7 (2020). doi:10.1063/5.0028353
ISSN: 1070-6631
DOI: 10.48550/arxiv.2009.02124
Popis: We discuss an inertial migration of oblate spheroids in a plane channel, where steady laminar flow is generated by a pressure gradient. Our lattice Boltzmann simulations show that spheroids orient in the flow, so that their minor axis coincides with the vorticity direction (a log-rolling motion). Interestingly, for spheroids of moderate aspect ratios, the equilibrium positions relative to the channel walls depend only on their equatorial radius $a$. By analysing the inertial lift force we argue that this force is proportional to $a^3b$, where $b$ is the polar radius, and conclude that the dimensionless lift coefficient of the oblate spheroid does not depend on $b$, and is equal to that of the sphere of radius $a$.
Comment: 7 pages, 8 figures
Databáze: OpenAIRE