Bulletin of the American Physical Society
76th Annual Meeting of the Division of Fluid Dynamics
Sunday–Tuesday, November 19–21, 2023; Washington, DC
Session T05: Acoustics II: Hydro and Aero
4:25 PM–6:09 PM,
Monday, November 20, 2023
Room: 102A
Chair: David Dowling, University of Michigan
Abstract: T05.00008 : Inertio-viscous hydrodynamic interactions between particles in oscillatory flow*
5:56 PM–6:09 PM
Presenter:
Xiaokang Zhang
(University of California, Riverside)
Authors:
Xiaokang Zhang
(University of California, Riverside)
Bhargav Rallabandi
(University of California, Riverside)
Particles suspended in oscillatory flows and acoustic fields are known to exhibit complex behavior, including collective dynamics due to interactions. Here, we study how particles in a uniform oscillatory flow interact with each other by generating oscillatory disturbances, and how the inertia of the flow is rectified into time-averaged particle motion. We present a comprehensive theory of the dynamics of a pair of spherical particles. Utilizing multipole expansions around each particle, we apply the method of reflections to calculate oscillatory hydrodynamic interactions between the particles. We then use these interacting oscillatory flows in an analytic framework to evaluate time-averaged secondary hydrodynamic force on the particles. The forces produce either attraction or repulsion of the particles depending on their orientation relative to the flow, their relative separation distance, density contrast relative to the fluid, and the Stokes layer thickness. The theory is found to be in good agreement with previous direct numerical simulations.
*NSF CBET-2143943
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