Numerical Investigation of Kinetic Energy and Surface Energy of Wavy Falling Liquid Film

数字模拟被执行了让二维的起浪的掉落液体电影以便调查动能和那部液体电影的表面精力。管理方程，它是界面的边界的连续性方程，海军司烧方程，和方程调节包括表面运动和表面紧张的效果，基于有限差别方法借助于一个数字计划直接被解决了。在大多数情况中，在流入边界附加的周期的骚乱成长到保留给定的周期的行为的充分发达的波浪。在一些情况中，然而，随机的波浪在充分发达的波浪以后出现。动能的变化和周期性地发达的波浪和随机的波浪的表面精力被讨论了。

Numerical simulations have been carded out for two-dimensional wavy falling liquid film in order to investigate kinetic energy and surface energy of that liquid film. Governing equations, which are continuity equation, Na-, vier-Stokes equation, and equations of interfacial boundary conditions including surface movement and effect of surface tension, have been solved directly by means of a numerical scheme based on the finite difference method. In most cases, periodic disturbances superimposed at inflow boundary grow to fully developed waves Which retain the given periodic behavior. In some cases, however, random waves appear after the fully developed waves. Variations of kinetic energy and surface energy of the periodically developed waves and the random waves have been discussed.