Complex Dynamics of an Acoustically Levitated Fluid Droplet Captured by a Low-Order Immersed Boundary Method
Abstract
We present a novel immersed boundary method that implements acoustic perturbation theory to model an acoustically levitated droplet. Instead of resolving sound waves numerically, our hybrid method solves acoustic scattering semi-analytically and models the corresponding time-averaged acoustic forces on the droplet. This framework allows the droplet to be simulated on inertial timescales of interest, and thereby admit a much larger time resolution than traditional compressible flow solvers. To benchmark this technique and demonstrate its utility, we implement the hybrid IBM for a single droplet in a standing wave. Simulated droplet shape deformations and streaming profile agree with theoretical predictions. Our simulations also yield new insights on the streaming profiles for elliptical droplets, for which a comprehensive analytic solution does not exist.
- Publication:
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arXiv e-prints
- Pub Date:
- March 2024
- DOI:
- 10.48550/arXiv.2403.13943
- arXiv:
- arXiv:2403.13943
- Bibcode:
- 2024arXiv240313943S
- Keywords:
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- Condensed Matter - Soft Condensed Matter;
- Physics - Fluid Dynamics
- E-Print:
- 10 pages, 8 figures