论文标题
无梗滴的自然振荡：无粘理论
Natural oscillations of a sessile drop: Inviscid theory
论文作者
论文摘要
我们提出了一种完全分析的解决方案，用于在表面张力主导重力时，在水平板上的无粘性连触摸板的自然振荡。管理方程是根据环形坐标系表示的，该系统产生涉及超几何函数的解决方案。针对区域，部门和镶嵌振动模式的谐振频率是鉴定的。该预测表明，与文献报道的实验数据相比，比\ citeauthor {bostwick}（\ textit {简要讨论了粘性耗散的影响。
We present a fully analytical solution for the natural oscillation of an inviscid sessile drop of arbitrary contact angle on a horizontal plate for the case for the case of low Bond number, when surface tension dominates gravity. The governing equations are expressed in terms of the toroidal coordinate system which yields solutions involving hypergeometric functions. Resonant frequencies are identified for zonal, sectoral and tesseral vibration modes. The predictions show good agreement with experimental data reported in the literature, with better agreement than the model of \citeauthor{bostwick} (\textit{J. Fluid Mech.}, vol. 760, 2014, 5-38), particularly for flatter drops (lower contact angle) and higher modes of vibration. The impact of viscous dissipation is discussed briefly.
