This work focuses on the basic interactions between a vortex and an interface separating two incompressible fluids. Specifically, we investigate how vorticity produced at an interface influences the dynamics of this very same interface and how the produced vorticity engenders small scales and small droplets. A critical Weber number $W{e}_c^{\left(1\right)}$ exists discriminating the conditions upon which the interface rolls up around the vortex significantly. In addition, we show that a second critical Weber number $W{e}_c^{\left(2\right)}$ appears. For Weber numbers below this value, the dynamic response of the interface only depends slightly on the Reynolds number. For Weber numbers above $W{e}_c^{\left(2\right)}$, the vorticity layers generated by the interface itself trigger a combined Rayleigh–Taylor and Kelvin–Helmholtz instability that leads to the appearance of extremely small structures with a characteristic size that strongly depends on the Reynolds number.

这项工作的重点是涡流和分离两种不可压缩流体的界面之间的基本相互作用。具体来说，我们研究了在界面上产生的涡度如何影响这个非常相同界面的动力学，以及产生的涡度如何产生小尺度和小液滴。一个关键的韦伯数$宽{\mathrm{电子}}_C^{\left(1\right)}$存在区分界面在涡旋周围显着卷起的条件。此外，我们证明了第二个关键的韦伯数$宽{\mathrm{电子}}_C^{\left(2\right)}$出现。对于低于此值的韦伯数，界面的动态响应仅略微依赖于雷诺数。对于上面的韦伯数$宽{\mathrm{电子}}_C^{\left(2\right)}$，由界面本身产生的涡度层触发了瑞利-泰勒和开尔文-亥姆霍兹不稳定性的组合，导致出现极小的结构，其特征尺寸在很大程度上取决于雷诺数。