What is it about?
Vortices are an essential part of fluid dynamics, from small scale turbulence to large scale phenomena such as hurricanes and tornadoes. We have extended a mathematical model for slender vortex filaments to include the force of gravity and use it to demonstrate certain known properties of buoyant vortex rings. To derive the equations of motion, we have employed the Boussinesq approximation and a matched asymptotic expansion.
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Why is it important?
The majority of previous models for slender vortex motion neglect the influence of gravity. In order to properly model the motion of large scale vortices, such as tornadoes, gravity must be accounted for. We have here provided one possible solution, and our results demonstrate that gravity can have a significant impact on the motion of a vortex.
Perspectives
It has been great fun to write this article, both because vortices are themselves fascinating, and because the mathematical techniques involved in the derivation of the equation of motion are as elegant as they are effective. It is thus my hope that you will find this an enjoyable, albeit challenging, read.
Marie Rodal
Universiteit Antwerpen
Read the Original
This page is a summary of: Slender vortex filaments in the Boussinesq approximation, Physics of Fluids, May 2024, American Institute of Physics,
DOI: 10.1063/5.0205028.
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