Stability analysis from fourth order evolution equation for deep water capillary-gravity waves in the presence of air flowing over water

• Autorzy: Majumder D. P. , Dhar A. K.
• Języki publikacji: EN

Abstrakty

EN

Fourth order nonlinear evolution equations, which are a good starting point for the study of nonlinear water waves as first pointed out by Dysthe (1979) and later elaborated by Janssen (1983), are derived for deep water capillary-gravity waves in the presence of air flowing over water. Stability analysis is then made for a uniform Stokes capillary gravity wave train. Graphs are plotted for the maximum growth rate of instability, the frequency at marginal stability and the frequency separation for fastest growing side-band component as a function of wave steepness. Significant deviations are noticed from the results obtained from the third-order evolution equation, which is the nonlinear Schrödinger equation.

Słowa kluczowe

EN

nonlinear evolution equation; capillary-gravity wave; instability

PL

równania nieliniowe; dynamika płynów; fala grawitacyjna

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2009
• Tom: Vol. 14, no 2
• Strony: 433--442
• Opis fizyczny: Bibliogr. 14 poz., wykr.

Twórcy

autor

Majumder D. P.

autor

Dhar A. K.

• Department of Mathematics Bengal Engineering and Science University Shibpur, P.O. Botanic Garden, Shibpur Howrah - 711103, West Bengal, INDIA,

Bibliografia

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