Solitary waves on a ferrofluid jet
Solitary waves on a ferrofluid jet
复制标题
DOI：
10.1017/jfm.2014.275
复制
发表时间：
2014-07-01
影响因子：
3.7
通讯作者：
Parau, E. I.
中科院分区：
文献类型：
--
作者：
Blyth, M. G.;Parau, E. I.
研究了在磁场作用下，轴对称孤立波在非圆柱形磁流体射流表面的传播。一个方位角的磁场是由电流沿固定的金属棒产生的，该棒安装在运动的射流的轴线上。用数值方法计算了完全非线性行波，并在磁键数的适当范围内证实了Rannacher和Engel(《新物理》，第8卷，2006年，第108-123页)用弱非线性理论预测的高低波。确定了孤立波解的新的非线性分支。当键数变化时，孤立波轮廓可能接近于具有捕获的环形气泡的极限构型，也可能接近于静态波(即相速度为零的波)。对于足够大的轴向杆件，极限轮廓可能呈现尖端。
The propagation of axisymmetric solitary waves on the surface of an otherwise cylindrical ferrofluid jet subjected to a magnetic field is investigated. An azimuthal magnetic field is generated by an electric current flowing along a stationary metal rod which is mounted along the axis of the moving jet. A numerical method is used to compute fully nonlinear travelling solitary waves, and the predictions of elevation waves and depression waves made by Rannacher and Engel (New J. Phys., vol. 8, 2006, pp. 108-123) using a weakly nonlinear theory are confirmed in the appropriate ranges of the magnetic Bond number. New nonlinear branches of solitary wave solutions are identified. As the Bond number is varied, the solitary wave profiles may approach a limiting configuration with a trapped toroidal-shaped bubble, or they may approach a static wave (i.e. one with zero phase speed). For a sufficiently large axial rod, the limiting profile may exhibit a cusp.