The dynamics of an incompressible fluid drop under the action of non-uniform electric field are considered. The drop is bounded axially by two parallel solid planes, which in the examined case are considered to be heterogeneous. The external electric field acts as an external force which causes motion of the contact line. In equilibrium, the drop has the form of a circular cylinder. The equilibrium contact angle is \(0.5\pi\). In order to describe the motion of the contact line the modified Hocking boundary condition is applied: the velocity of the contact line is proportional to the deviation of the contact angle and the rate of fast relaxation process, the frequency of which is proportional to twice the frequency of the electric field. The Hocking parameter depends on the polar angle \(\alpha\), i.e. the coefficient of the interaction between the plate and the fluid (the contact line) is a function of the plane coordinates. The focus of this study is on a special case, in which this function is proportional to \(|\cos (\alpha )|\).

考虑了在非均匀电场作用下的不可压缩液滴的动力学。液滴在轴向上由两个平行的实心平面限制，在检查的情况下，两个实心平面被视为异质的。外部电场用作引起接触线运动的外力。在平衡状态下，液滴具有圆柱体的形式。平衡接触角为\（0.5 \ pi \）。为了描述接触线的运动，应用了改进的霍克边界条件：接触线的速度与接触角的偏差和快速松弛过程的速度成正比，其频率与频率的两倍成正比。电场频率。Hocking参数取决于极角\（\ alpha \）即，板和流体（接触线）之间的相互作用系数是平面坐标的函数。这项研究的重点是在一个特殊情况下，该函数与\（| \ cos（\ alpha）| \）成比例。