ON FALLING-FILM INSTABILITIES AND WAVE BREAKING

被引:23
作者
JOO, SW [1 ]
DAVIS, SH [1 ]
BANKOFF, SG [1 ]
机构
[1] NORTHWESTERN UNIV,DEPT CHEM ENGN,EVANSTON,IL 60208
来源
PHYSICS OF FLUIDS A-FLUID DYNAMICS | 1991年 / 3卷 / 01期
关键词
D O I
10.1063/1.857858
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
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 suggested by Rosenau and Oron [Phys. Fluids A 1, 1763 (1989)].
引用
收藏
页码:231 / 232
页数:2
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