Power-law singularities in gravity-capillary waves

被引:30
作者
Hogrefe, JE
Peffley, NL
Goodridge, CL
Shi, WT
Hentschel, HGE
Lathrop, DP [1 ]
机构
[1] Emory Univ, Dept Phys, Atlanta, GA 30322 USA
[2] Univ Maryland, Dept Phys, College Pk, MD 20742 USA
来源
PHYSICA D | 1998年 / 123卷 / 1-4期
关键词
D O I
10.1016/S0167-2789(98)00120-1
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Strongly driven waves break and lead to local singularities. Parametrically forced standing waves (Faraday waves) may break leading to a local power-law divergence on the free surface. We experimentally explore this state for its local structure, time dynamics and threshold for creation. A local analytical model for the surface height compares favorably with image sequences taken of individual events. Copyright (C) 1998 Published by Elsevier Science B.V.
引用
收藏
页码:183 / 205
页数:23
相关论文
共 36 条
[1]   THE STABILITY OF THE PLANE FREE SURFACE OF A LIQUID IN VERTICAL PERIODIC MOTION [J].
BENJAMIN, TB ;
URSELL, F .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1954, 225 (1163) :505-515
[2]   ITERATED INSTABILITIES DURING DROPLET FISSION [J].
BRENNER, MP ;
SHI, XD ;
NAGEL, SR .
PHYSICAL REVIEW LETTERS, 1994, 73 (25) :3391-3394
[3]  
Chandrasekhar S, 1981, HYDRODYNAMIC HYDROMA
[4]  
CILBERTO S, 1991, EUROPHYS LETT, V15, P23
[5]  
CILBERTO S, 1985, J FLUID MECH, V158, P381
[6]   AN EXACT SOLUTION FOR PROGRESSIVE CAPILLARY WAVES OF ARBITRARY AMPLITUDE [J].
CRAPPER, GD .
JOURNAL OF FLUID MECHANICS, 1957, 2 (06) :532-540
[7]   HYSTERESIS IN FARADAY RESONANCE [J].
DECENT, SP ;
CRAIK, ADD .
JOURNAL OF FLUID MECHANICS, 1995, 293 :237-268
[8]   EXPERIMENTAL-STUDY OF THE FARADAY INSTABILITY [J].
DOUADY, S .
JOURNAL OF FLUID MECHANICS, 1990, 221 :383-409
[9]  
EDWARDS WS, 1993, PHYS REV E, V47, P1623
[10]   DROP FORMATION IN A ONE-DIMENSIONAL APPROXIMATION OF THE NAVIER-STOKES EQUATION [J].
EGGERS, J ;
DUPONT, TF .
JOURNAL OF FLUID MECHANICS, 1994, 262 :205-221