NONLINEAR-THEORY OF STRONGLY UNDULATING THIN-FILMS FLOWING DOWN VERTICAL CYLINDERS

被引:119
作者
FRENKEL, AL
机构
[1] Department of Mathematics, University of Alabama, Tuscaloosa, AL
来源
EUROPHYSICS LETTERS | 1992年 / 18卷 / 07期
关键词
HYDRODYNAMIC STABILITY AND INSTABILITY; OTHER TOPICS IN FLUID DYNAMICS;
D O I
10.1209/0295-5075/18/7/003
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The nonlinear system of approximate equations is obtained for thin annular films flowing down vertical fibers. The multiparameter perturbation approach is used which justifies the theory for a much wider range of basic flow parameters than the more conventional methods. From the evolution equation that is applicable to the strongly undulating films which are perpetually on the verge of break up, certain dependences follow from observable quantities, in excellent agreement with experiments.
引用
收藏
页码:583 / 588
页数:6
相关论文
共 14 条
[1]  
ATHERTON RS, 1986, CHEM ENG COMMUN, V2, P57
[2]   FLOW-INDUCED NON-LINEAR EFFECTS IN THIN LIQUID-FILM STABILITY [J].
BABCHIN, AJ ;
FRENKEL, A ;
LEVICH, BG ;
SIVASHINSKY, GI .
ANNALS OF THE NEW YORK ACADEMY OF SCIENCES, 1983, 404 (MAY) :426-427
[3]   NON-LINEAR SATURATION OF RAYLEIGH-TAYLOR INSTABILITY IN THIN-FILMS [J].
BABCHIN, AJ ;
FRENKEL, AL ;
LEVICH, BG ;
SIVASHINSKY, GI .
PHYSICS OF FLUIDS, 1983, 26 (11) :3159-3161
[4]   ANNULAR FLOWS CAN KEEP UNSTABLE FILMS FROM BREAKUP - NONLINEAR SATURATION OF CAPILLARY INSTABILITY [J].
FRENKEL, AL ;
BABCHIN, AJ ;
LEVICH, BG ;
SHLANG, T ;
SIVASHINSKY, GI .
JOURNAL OF COLLOID AND INTERFACE SCIENCE, 1987, 115 (01) :225-233
[5]  
FRENKEL AL, 1988, 6TH P S EN ENG SCI A, P100
[6]  
FRENKEL AL, 1991, 9 P S EN ENG SCI, P185
[7]   INSTABILITY OF FILM COATING OF WIRES AND TUBES [J].
LIN, SP ;
LIU, WC .
AICHE JOURNAL, 1975, 21 (04) :775-782
[8]  
LIN SP, 1985, ENCY FLUID MECHANICS, V1, P93
[9]  
LONG RR, 1965, TELLUS, V17, P46
[10]   THIN-FILMS FLOWING ON VERTICAL FIBERS [J].
QUERE, D .
EUROPHYSICS LETTERS, 1990, 13 (08) :721-726