A 4TH-ORDER EVOLUTION EQUATION FOR DEEP-WATER SURFACE GRAVITY-WAVES IN THE PRESENCE OF WIND BLOWING OVER WATER

被引：26

作者：

DHAR, AK

DAS, KP

机构：

[1] Department of Applied Mathematics, University of Calcutta, Calcutta 70 0009

来源：

PHYSICS OF FLUIDS A-FLUID DYNAMICS | 1990年 / 2卷 / 05期

关键词：

D O I：

10.1063/1.857731

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The stability of a train of nonlinear surface gravity waves in deep water in the presence of wind blowing over water is considered. An evolution equation is derived for the wave envelope that is correct to fourth order in the wave steepness. The importance of the fourth-order term in the evolution equation was pointed out by Dysthe [Proc. R. Soc. London Ser. A 369, 105 (1979)]. From this evolution equation the expressions for the maximum growth rate of the instability and the frequency at marginal stability are derived, and graphs are plotted for those two expressions against the wave steepness. © 1990 American Institute of Physics.

引用

页码：778 / 783

页数：6

共 18 条

[1]

BENNEY DJ, 1969, STUD APPL MATH, V48, P377

[2] EXPERIMENTAL-STUDY OF THE INFLUENCE OF WIND ON BENJAMIN-FEIR SIDE-BAND INSTABILITY [J].

BLIVEN, LF ;

HUANG, NE ;

LONG, SR .

JOURNAL OF FLUID MECHANICS, 1986, 162 :237-260

[3] 4TH ORDER EVOLUTION-EQUATIONS AND STABILITY ANALYSIS FOR STOKES WAVES ON ARBITRARY WATER DEPTH [J].

BRINCHNIELSEN, U ;

JONSSON, IG .

WAVE MOTION, 1986, 8 (05) :455-472

[4] ON EVOLUTION-EQUATIONS FOR A 3-DIMENSIONAL SURFACE GRAVITY-WAVE PACKET IN A 2-LAYER FLUID [J].

DAS, KP .

WAVE MOTION, 1986, 8 (02) :191-204

[5] 3-DIMENSIONAL PACKETS OF SURFACE-WAVES [J].

DAVEY, A ;

STEWARTSON, K .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1974, 338 (1613) :101-110

[6] 2-DIMENSIONAL PACKETS OF CAPILLARY-GRAVITY WAVES [J].

DJORDJEVIC, VD ;

REDEKOPP, LG .

JOURNAL OF FLUID MECHANICS, 1977, 79 (MAR23) :703-714

[7] NON-LINEAR ENERGY-TRANSFER IN A NARROW GRAVITY-WAVE SPECTRUM [J].

DUNGEY, JC ;

HUI, WH .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1979, 368 (1733) :239-265

[8] NOTE ON A MODIFICATION TO THE NON-LINEAR SCHRODINGER-EQUATION FOR APPLICATION TO DEEP-WATER WAVES [J].

DYSTHE, KB .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1979, 369 (1736) :105-114

[9] NONLINEAR MODULATION OF GRAVITY-WAVES [J].

HASIMOTO, H ;

ONO, H .

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1972, 33 (03) :805-&

[10] THE 4TH-ORDER EVOLUTION EQUATION FOR DEEP-WATER GRAVITY-CAPILLARY WAVES [J].

HOGAN, SJ .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1985, 402 (1823) :359-372

← 1 2 →