沿平板下落薄膜流动的研究综述

A REVIEW ON THIN FILMS FALLING ALONG AN INCLINED PLANE

沿平板下落薄膜流动的时空演化一直是流体力学中一个相当活跃的研究领域.全面回顾了下落薄膜从长波近似方程到积分边界层方程,从线性稳定性分析到弱非线性分析,从首次失稳到二次失稳以及从有限振幅计算到直接数值模拟的发展历程,总结了下落薄膜已有的理论结果和数值结果.此外,还介绍了沿加热平板下落的薄膜流动的最新研究进展,概述了其它类型下落薄膜的研究情况.

Spatial-temporal evolution of a thin film falling along an inclined plane is always a hot issue in the study of hydrodynamics. This paper reviews the development of falling films from the long-wave approximation equation to the integral boundary layer equation, from the linear instability analysis to the weakly nonlinear analysis, from the primary instability to the secondary instability and from the finite amplitude computation to the direct numerical simulation. The main theoretical and experimental results of falling films are summarized. Recent progresses on the heated falling film are also introduced, together with other types of falling films.