Labousse M, Bush J W M
Institut Langevin, ESPCI Paristech, CNRS - UMR 7587, PSL Research University, Université Pierre and Marie Curie, 1 rue Jussieu, 75005, Paris, France.
Laboratoire Matière et Systèmes Complexes, Université Paris Diderot, Sorbonne Paris Cité, CNRS - UMR 7057, 10 Rue A. Domon and L. Duquet, 75013, Paris, France.
Eur Phys J E Soft Matter. 2015 Oct;38(10):113. doi: 10.1140/epje/i2015-15113-5. Epub 2015 Oct 30.
We report the results of a theoretical investigation of the stability of a toroidal vortex bound by an interface. Two distinct instability mechanisms are identified that rely on, respectively, surface tension and fluid inertia, either of which may prompt the transformation from a circular to a polygonal torus. Our results are discussed in the context of three experiments, a toroidal vortex ring, the hydraulic jump, and the hydraulic bump.
我们报告了对由界面束缚的环形涡旋稳定性进行理论研究的结果。确定了两种不同的失稳机制,分别依赖于表面张力和流体惯性,其中任何一种都可能促使圆形环面转变为多边形环面。我们的结果在三个实验的背景下进行了讨论,即环形涡旋环、水跃和水丘。