Evolution of a random field of surface gravity waves in a two fluid domain

• Autorzy: Senapati S. , Debsarma S. , Das K. P.
• Języki publikacji: EN

Abstrakty

EN

A spectral transport equation is derived here that governs the evolution of a random field of surface gravity waves in a two layer fluid model. This equation is used to study the stability of an initially homogeneous Lorentz spectrum under long wave length perturbations. It is observed that the effect of randomness is to reduce the growth rate of instability. An increase in the thickness of the upper fluid results in an increase in the extent of instability. It is also found that the extent of instability becomes less for a smaller density difference of the two fluids.

Słowa kluczowe

EN

surface gravity waves; nonlinear evolution equation; randomness; instability

PL

fala grawitacyjna; nieliniowe równania ewolucji; niestabilność; losowość

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2012
• Tom: Vol. 17, no. 2
• Strony: 481--493
• Opis fizyczny: Bibliogr. 9 poz., wykr.

Twórcy

autor

Senapati S.

autor

Debsarma S.

autor

Das K. P.

• Department of Mathematics, Abhedananda Mahavidyalaya Sainthia, Birbhum - 731234, INDIA,

Bibliografia

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• Alber I.E. and Saffman P.G. (1978): Stability of random non linear deep water waves with finite bandwidth spectrum. - TRW Defense and Space Systems Group Rep. 31326-6035-RU-00.
• Bhattacharya S. and Das K.P. (1997): The effect of randomness on the stability of deep water surface gravity waves in the presence of a thin thermocline.J. Austral. Math. Soc. Ser., vol.B39, pp.1-17.
• Crawford D.R., Saffman P.G. and Yuen H.C. (1980): Evolution of a random inhomogeneous field of nonlinear deep water gravity waves.Wave Motion, vol.2, pp.1-16.
• Davey A. and Stewartson K. (1974): On three-dimensional packets of surface waves. ( Proc. R. Soc. Lond., vol.A338, pp.101-110.
• Dhar A.K. and Das K.P. (1990): A fourth order evolution equation for deep water surface gravity waves in the presence of wind blowing over water. Phys. Fluids, vol.A2, pp.778-783.
• Dhar A.K. and Das K.P. (2001): The effect of randomness on stability of surface gravity waves from fourth order nonlinear evolution equation.Int. J. of Applied Mechanics and Engineering, vol.6, pp.11-34.
• Dysthe K.B. (1979): Note on a modification to the non-linear Schrödinger equation for application to deep water waves.( Proc. Roy. Soc. London., vol.A369, pp.105-114.
• Senapati S., Debsarma S. and Das K.P. (2010): Fourth order evolution equations for a surface gravity wave packet in a two layer fluid.Int. J. of Applied Mechanics and Engineering, vol.15, No.4, pp.1215-1225.