Nonlinear interfacial instability of two electrified miscible fluids

• Autorzy: Mahmoud Y. D. , Moatimid G. M. , El-Dib Y. O.
• Języki publikacji: EN

Abstrakty

EN

In a previews paper [1], a simplified formulation was presented to deal with the intcrfacial linear stability problem with mass and heat transfer, considering the presence of a periodic electric field. The present paper treats the same problem with a nonlinear approach. This approach is achieved by considering the multiple time scale method. The analysis reveals the existence of both resonant and non - resonant cases. Three types of nonlinear Schődinger equations are derived . The necessary and sufficient stability of conditions in obtained and the results are confirmed numerically. Graphs are drawn to illustrate the stability regions.

Słowa kluczowe

EN

nonlinear instability; stability problem; Schődinger equations

• Wydawca: Wydawnictwo Politechniki Łódzkiej
• Czasopismo: Mechanics and Mechanical Engineering
• Rocznik: 2000
• Tom: Vol. 4, nr 2
• Strony: 225--249
• Opis fizyczny: Bibliogr. 17 poz.

Twórcy

autor

Mahmoud Y. D.

• P.O. Box 475, Ismailia 41511, Egypt

autor

Moatimid G. M.

• Department of Mathematics, Faculty of Education, Ain Shams University, Heliopolis, Cairo

autor

El-Dib Y. O.

• Department of Mathematics, Faculty of Education, Ain Shams University, Heliopolis, Cairo