Electrohydrodynamic and magnetohydrodynamic surface waves and instabilities
Electrohydrodynamic and magnetohydrodynamic surface waves and instabilities
复制标题
电流体动力学和磁流体动力学表面波和不稳定性
DOI：
10.1063/1.1706223
复制
发表时间：
1961
影响因子：
4.6
通讯作者：
J. Melcher
中科院分区：
文献类型：
--
作者：
J. Melcher
研究了平面流体界面在切向或垂直电场或磁场作用下的低频动力学，强调了电磁场的对偶性。对于磁性情况，这两种构型都由有效的阿尔芬速度控制，而对于电气情况，则由与此速度成对的电流体动力控制。预测了垂直场作用下表面失稳的波长和阈值，并与实验结果进行了关联。这使得确定电介质中界面电致伸缩性质的关键实验成为可能。切向电场作用下的电介质界面支撑着沿电场强度方向传播的不可压缩电流体横波，横波的传播速度受界面电致伸缩的强烈影响。实验结果表明这种波是存在的。
Low‐frequency dynamics of a plane fluid interface stressed by tangential or perpendicular electric or magnetic fields is studied emphasizing the duality of the magnetic and electric cases. Both configurations are shown to be controlled by an effective Alfven velocity for the magnetic cases, and by an electrohydrodynamic dual to this velocity for the electric cases. A wavelength and threshold for instability are predicted for a surface stressed by a perpendicular field, and correlated with experimental results. This makes possible a critical experiment to determine the nature of interfacial electrostriction in dielectrics. A dielectric interface stressed by a tangential electric field supports incompressible electrohydrodynamic transverse waves that propagate along the lines of electric field intensity at a velocity strongly influenced by interfacial electrostriction. Experimental results indicate the existence of such waves.