Fourth-order evolution equations for a surface gravity wave packet in a two layer fluid

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

Abstrakty

EN

Fourth order nonlinear evolution equations are derived for a three dimensional surface gravity wave packet in the presence of long wave length an interfacial wave in a two layer fluid domain in which the lower fluid depth is infinite. For derivation of evolution equations, the multiple-scale method is used. Using these evolution equations, stability of uniform stokes wavetrain is investigated for different values of density ratio of the two fluids and for different values of the depth of the lighter fluid.

Słowa kluczowe

EN

gravity wave; interfacial wave; evolution equation; instability

PL

fala grawitacyjna; równania ewolucji; niestabilność

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2010
• Tom: Vol. 15, no 4
• Strony: 1215--1225
• Opis fizyczny: Bibliogr. 12 poz., wykr.

Twórcy

autor

Senapati S.

autor

Debsarma S.

autor

Das K. P.

• Department of Mathematics Abhedananda Mahavidyalaya Sainthia, Birbhum - 731 234, INDIA,

Bibliografia

• Bhattacharya S. and Das K.P. (1997): Fourth order nonlinear evolution equations for surface gravity waves in the presence of a thin thermocline. J. Austral. Math. Soc. Ser., vol.B39, pp.214-229.
• Brinch-Nielsen U. and Jonsson I.G. (1986): Fourth order evolution equations and stability analysis for stokes waves on arbitrary water depth. Wave Motion, vol.8, pp.455-472.
• Das K.P. (1986): On evolution equations for a three dimensional surface gravity wave packet in a two layer fluid. ( Wave Motion, vol.8, pp.191-204.
• Debsarma S. and Das K.P. (2002): Fourth order nonlinear evolution equations for gravity-capillary waves in the presence of a thin thermocline in deep water. ANZIAM J., vol.43, pp.513-524.
• Dysthe K.B. (1979): Note on a modification to the nonlinear Schrödinger equation for application to deep water waves. ( Proc. Roy. Soc. Lond., Ser., vol.A369, pp.105-114.
• Dysthe K.B. and Das K.P. (1981): Coupling between surface wave spectrum and an internal wave: modulational interaction. ( J. Fluid Mech., vol.104, pp.483-503.
• Funakoshi M. and Oikawa M. (1983): The resonant interaction between a long gravity wave and a surface gravity wave packet. ( J. Phys. Soc. Japan, vol.52, pp.1982.
• Longuet-Higgins M.S. (1978a): The instabilities of gravity waves of finite amplitude in deep water I. Superharmonics. ( Proc. R. Soc. Lond., vol.A360, pp.471-488.
• Longuet-Higgins M.S. (1978b): The instabilities of gravity waves of finite amplitude in deep water II. Subharmonics. ( Proc. R. Soc. Lond., vol.A360, pp.489-506.
• Ma Y.C. (1983): A study of resonant interaction between internal and surface waves based on a two layer fluid model. ( Wave Motion, vol.5, pp.145.
• Olber D.J. and Herterich K. (1979): The specific energy transfer from surface waves to internal waves. ( J. Fluid Mech., vol.92, pp.349-379.
• Rizk M.H. and Ko D.R.S. (1978): Interaction between small scale surface waves and large scale internal waves. ( Phys. Fluids, vol.21, pp.1900-1907.