论文标题
表面活性剂驱动的薄液膜方程的对称分析
Symmetry Analysis of Surfactant Driven Thin Liquid Film Equations
论文作者
论文摘要
使用二阶偏微分方程的耦合系统描述了由表面活性剂驱动的液体薄膜的传播。转化的谎言组用于获得给定的部分微分方程系统的对称性。然后，对称性用于到达系统的半分析溶液。此外，对获得的解决方案进行了矢量场分析，以提供对该问题的更多见解。获得的结果表明，表面活性剂浓度驱动流体，从而使流体变细。
Spreading of liquid thin film driven by surfactant due to the Marangoni effect is described using a coupled system of second-order partial differential equations. Lie group of transformation are used to obtain the symmetries of the given system of partial differential equations. The symmetries are then used to arrive at a semi-analytic solution of the system. Furthermore, a vector field analysis of the obtained solution is performed to provide additional insights into the problem. The obtained results demonstrate that the surfactant concentration drives the fluid, and thereby the fluid thins faster.
