IRREGULAR WAVES ON VISCOUS FALLING FILMS

被引：25
|
作者：
JOO, SW
DAVIS, SH
机构：
[1] Department of Engineering Sciences and Applied Mathematics, Northwestern University, Evanston
来源：
CHEMICAL ENGINEERING COMMUNICATIONS | 1992年 / 118卷
关键词：
FILM; INSTABILITY; INTERFACE; WAVE; CHAOS;
D O I：
10.1080/00986449208936089
中图分类号：
TQ [化学工业];
学科分类号：
0817 ;
摘要：
A thin viscous film falling down a vertical plane is studied. In particular, the interfacial wave is analyzed via a long-wave evolution equation of Benney type. Three instabilities are discussed in relation to the generation of chaotic waves observed in many experiments. The primary wave motion is induced by the surface-wave instability, and the waves can subsequently become chaotic due to spatially-subharmonic and three-dimensional instabilities. These secondary instabilities are demonstrated by numerical simulation in a spatially periodic domain. The evolution equation contains a description of the deterministic chaos.
引用
收藏
页码：111 / 123
页数：13
相关论文
共 50 条
  • [1] Development of Dominating Waves From Small Disturbances in Falling Viscous-Liquid Films
    Sisoev G.M.
    Shkadov V.Y.
    [J]. Fluid Dynamics, 1997, 32 (6) : 784 - 792
  • [2] Dominant waves in falling film of viscous liquid
    Sisoev, GM
    Shkadov, VY
    [J]. DOKLADY AKADEMII NAUK, 1997, 357 (04) : 483 - 486
  • [3] VISCOUS DRIFT FORCES IN REGULAR AND IRREGULAR WAVES
    CHITRAPU, AS
    ERTEKIN, RC
    PAULLING, JR
    [J]. OCEAN ENGINEERING, 1993, 20 (01) : 33 - 55
  • [4] Nonlinear periodic and solitary rolling waves in falling two-layer viscous liquid films
    Pototsky, Andrey
    Maksymov, Ivan S.
    [J]. PHYSICAL REVIEW FLUIDS, 2023, 8 (06)
  • [5] On theory of solitary waves in falling layer of viscous liquid
    Shkadov, V.Ya.
    Sisoev, G.M.
    [J]. Doklady Akademii Nauk, 2001, 380 (06) : 774 - 779
  • [6] INSTABILITIES OF 3-DIMENSIONAL VISCOUS FALLING FILMS
    JOO, SW
    DAVIS, SH
    [J]. JOURNAL OF FLUID MECHANICS, 1992, 242 : 529 - 547
  • [7] Extreme solitary waves on falling liquid films
    Chakraborty, S.
    Nguyen, P. -K.
    Ruyer-Quil, C.
    Bontozoglou, V.
    [J]. JOURNAL OF FLUID MECHANICS, 2014, 745 : 564 - 591
  • [8] ONSET OF NONLINEAR-WAVES ON FALLING FILMS
    CHANG, HC
    [J]. PHYSICS OF FLUIDS A-FLUID DYNAMICS, 1989, 1 (08): : 1314 - 1327
  • [9] Solitary waves on superconfined falling liquid films
    Lavalle, Gianluca
    Grenier, Nicolas
    Mergui, Sophie
    Dietze, Georg F.
    [J]. PHYSICAL REVIEW FLUIDS, 2020, 5 (03):
  • [10] Low-dimensional models for vertically falling viscous films
    Panga, MKR
    Balakotaiah, V
    [J]. PHYSICAL REVIEW LETTERS, 2003, 90 (15)
12345