论文标题
在正常电场下具有恒定涡度的周期波下方的流量结构
Flow structure beneath periodic waves with constant vorticity under normal electric fields
论文作者
论文摘要
具有恒定涡度和电水动力学流量的波浪是流体动力学的两个主题，这些主题吸引了科学家对数学挑战及其工业应用的关注。电场和涡度的耦合具有重大的研究兴趣。在本文中，我们研究了在正常电场的效果下，在介电流体上具有恒定涡度的稳定周期性流动波的流量结构。通过结合伪光谱数值方法结合使用的共形映射技术，我们开发了一种方法，使我们能够得出结论，根据电压电势的变化，流量可以零，两个或三个停滞点。我们详细描述与停滞点一起出现的再循环区域。此外，我们表明，底部边界上压力的局部最大值数量在本质上连接到鞍点。
Waves with constant vorticity and electrohydrodynamics flows are two topics in fluid dynamics that have attracted much attention from scientists for both the mathematical challenge and their industrial applications. The coupling of electric fields and vorticity is of significant research interest. In this paper, we study the flow structure of steady periodic travelling waves with constant vorticity on a dielectric fluid under the effect of normal electric fields. Through the conformal mapping technique combined with pseudo-spectral numerical methods, we develop an approach that allows us to conclude that the flow can have zero, two or three stagnation points according to variations in the voltage potential. We describe in detail the recirculation zones that emerge together with the stagnation points. Besides, we show that the number of local maxima of the pressure on the bottom boundary is intrinsically connected to the saddle points.
