Flow pattern due to capillary-gravitational waves in a charged layer of a viscous conducting liquid on a solid support

被引:3
作者
Grigor'ev, A. I. [1 ]
Pozharitskii, D. M. [1 ]
Shiryaeva, S. O. [1 ]
机构
[1] Demidov State Univ, Yaroslavl 150000, Russia
基金
俄罗斯基础研究基金会;
关键词
FINITE-THICKNESS; SURFACE; INSTABILITY;
D O I
10.1134/S1063784209020091
中图分类号
O59 [应用物理学];
学科分类号
摘要
Analytical solutions for the time evolution of a capillary-gravitational wave in a charged layer of a viscous conducting liquid on a solid support are found. It is shown that the velocity field eddy component of the wave-induced liquid flow arises not only near the free surface of the liquid, but also at the solid bottom. The ratio between the amplitudes of these eddy components depends on the relationship between the thickness of the layer and the wavelength. If the wavelength far exceeds the thickness, the eddy flow amplitude near the bottom exceeds that near the free surface and the eddy flow occupies the whole volume of the liquid.
引用
收藏
页码:214 / 220
页数:7
相关论文
共 22 条
[1]  
[Anonymous], THEOR FDN CHEM TECHN
[2]   Thickness of a boundary layer attributed to the wave motion on the charged free surface of a viscous liquid [J].
Belonozhko, D. F. ;
Grigor'ev, A. I. .
TECHNICAL PHYSICS, 2008, 53 (03) :306-313
[3]  
Belonozhko D. F., 1996, Technical Physics Letters, V22, P425
[4]   Finite-amplitude waves on the surface of a viscous deep liquid [J].
Belonozhko, DF ;
Grigor'ev, AI .
TECHNICAL PHYSICS, 2003, 48 (04) :404-414
[5]   An asymptotic solution of the problem of nonlinear waves in a viscous liquid [J].
Belonozhko, DF ;
Grigor'ev, AI ;
Shiryaeva, SO .
TECHNICAL PHYSICS LETTERS, 2002, 28 (10) :795-799
[6]  
BELONOZHKO DF, 2004, ELEKTROKHIM OBRAB ME, V4, P66
[7]  
BOYADJIEV C, 1984, MASS TRANSFER MOVING
[8]  
Frenkel Ya. I., 1936, Zh. Eksp. Teor. Fiz, V6, P348
[9]   Nonlinear electrohydrodynamic waves on films falling down an inclined plane [J].
Gonzalez, A ;
Castellanos, A .
PHYSICAL REVIEW E, 1996, 53 (04) :3573-3578
[10]   KORTEWEG-DEVRIES-BURGERS EQUATION FOR SURFACE-WAVES IN NONIDEAL CONDUCTING LIQUIDS [J].
GONZALEZ, A ;
CASTELLANOS, A .
PHYSICAL REVIEW E, 1994, 49 (04) :2935-2940