On falling‐film instabilities and wave breaking
On falling‐film instabilities and wave breaking
复制标题
关于落膜不稳定性和波浪破碎
DOI：
10.1063/1.857858
复制
发表时间：
1991
影响因子：
4.6
通讯作者：
S. Bankoff
中科院分区：
文献类型：
--
作者：
S. Joo;S. H. Davis;S. Bankoff
研究了沿斜面流动的粘性薄膜的长波不稳定性。整个长波演化方程的数值解表明，当表面张力取较小值时，波型呈超指数增长，并向破裂方向演化。这与Kuramoto-Sivashinsky方程的解形成对比，后者不会倾向于破裂。因此，如Rosenau和Oron[Phys]所建议的那样，使用完整的方程不需要在Kuramoto-Sivashinsky方程中引入形式上的小曲率项。流体A 1,1763(1989)]。
Long‐wave instabilities of thin viscous films flowing down inclined planes are studied. Numerical solutions of the full long‐wave evolution equation show that wave profiles grow superexponentially and evolve toward breaking when the surface tension takes on realistically small values. This contrasts with the solutions of the Kuramoto–Sivashinsky equation, which do not tend toward breaking. The use of the full equation thus dispenses with the need to introduce the formally small curvature terms into the Kuramoto–Sivashinsky equation, as suggessted by Rosenau and Oron [Phys. Fluids A 1, 1763 (1989)].