☆ 4.3 Article

A Note on Electrified Droplets

COMPUTATIONAL METHODS AND FUNCTION THEORY (2022)

The corotating hollow vortex pair: steady merger and break-up via a topological singularity

R. B. Nelson et al.

Summary: This study examines the shapes and properties of two steadily rotating, equal circulation, two-dimensional hollow vortices, finding a one-parameter family of solutions and comparing the results to a previous study on uniform vorticity patches. It is observed that although the general behavior of the two systems is similar, there are some differences highlighted, especially when the vortices become close to touching.

JOURNAL OF FLUID MECHANICS (2021)

添加到收藏夹

Article Mechanics

'H-states exact solutions for a rotating hollow vortex

D. G. Crowdy et al.

Summary: In this study, exact solutions were found for N-fold rotationally symmetric, steadily rotating hollow vortices, with a continuous real parameter governing their deformation. The solutions for H-states can be expressed in closed form, unlike V-states where numerical methods are required for all solutions except for the N =2 solution. The rotating H-states do not have surface tension on their boundaries, but are closely related to solutions for a non-rotating hollow vortex with surface tension.

JOURNAL OF FLUID MECHANICS (2021)

添加到收藏夹

Article Mechanics