Abstract
We discuss an inertial migration of oblate spheroids in a plane channel, where the 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 analyzing the inertial lift force, we argue that this force is proportional to a3b, 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.
| Original language | English |
|---|---|
| Article number | 0028353 |
| Number of pages | 7 |
| Journal | Physics of Fluids |
| Volume | 32 |
| Issue number | 11 |
| DOIs | |
| Publication status | Published - 1 Nov 2020 |
Bibliographical note
Funding Information:This research was partly supported by the Russian Foundation for Basic Research (Grant No. 18-01-00729), by the Ministry of Science and Higher Education of the Russian Federation, and by the German Research Foundation (research unit FOR2688, Project Grant No. HA4382/8-1).
Funding
This research was partly supported by the Russian Foundation for Basic Research (Grant No. 18-01-00729), by the Ministry of Science and Higher Education of the Russian Federation, and by the German Research Foundation (research unit FOR2688, Project Grant No. HA4382/8-1).