Complex Dynamics of an Acoustically Levitated Fluid Droplet Captured by a Low-Order Immersed Boundary Method
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866914722481176576 |
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| author | Sustiel, Jacqueline B. Grier, David G. |
| author_facet | Sustiel, Jacqueline B. Grier, David G. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_13943 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Complex Dynamics of an Acoustically Levitated Fluid Droplet Captured by a Low-Order Immersed Boundary Method Sustiel, Jacqueline B. Grier, David G. Soft Condensed Matter Fluid Dynamics 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. |
| title | Complex Dynamics of an Acoustically Levitated Fluid Droplet Captured by a Low-Order Immersed Boundary Method |
| topic | Soft Condensed Matter Fluid Dynamics |
| url | https://arxiv.org/abs/2403.13943 |