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Title: Generation of laminar vortex rings via an impulsive body force
It is shown that laminar vortex rings can be generated by impulsive body forces having particular spatial and temporal characteristics. The method produces vortex rings in a fluid initially at rest, and once generated, the flow field automatically satisfies the boundary conditions and is divergence-free. Numerical simulations and analytical models show that the strength of these rings can be accurately predicted by considering diffusion alone, despite the nonlinear nature of the generation process. A particularly simple model, which approximates the source of vorticity within vertical slabs, is proposed. This model predicts the ring circulation almost as accurately as a model that uses the exact geometry of the source of vorticity. It is found that when the duration of the force is less than a timescale based on the force radius and fluid viscosity, the ring circulation can be predicted accurately using an inviscid model.  more » « less
Award ID(s):
1905288
PAR ID:
10510610
Author(s) / Creator(s):
; ; ; ;
Publisher / Repository:
American Physical Society
Date Published:
Journal Name:
Physical review fluids
Volume:
8
Issue:
094701
ISSN:
2469-990X
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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