Nonlinear electrohydrodynamic instability conditions of an interface between two fluids under the effect of a normal periodic electric field. III
El Shehawey, E. F.; Abd El-Gawaad, Nadia;
Abstract
A charge-free surface separating two semi-infinite dielectric fluids influenced by a normal periodic electric field is subjected to nonlinear deformations. We use the method of multiple scales in order to solve the nonlinear equations. In the first-order problem we obtained Mathieu's differential equation. For the second order, we obtain the nonhomogeneous Mathieu equation and we use the method of multiple scales to obtain a sequence of equations. In the third order we obtain the second-order differential equation of periodic coefficients. Also, we obtain a formula for surface elevation. The stability conditions are determined. © 1989 Plenum Publishing Corporation.
Other data
Title | Nonlinear electrohydrodynamic instability conditions of an interface between two fluids under the effect of a normal periodic electric field. III | Authors | El Shehawey, E. F. ; Abd El-Gawaad, Nadia | Issue Date | 1989 | Journal | International Journal of Theoretical Physics | DOI | 12 https://api.elsevier.com/content/abstract/scopus_id/34249975943 1533 28 10.1007/BF00671592 |
Scopus ID | 2-s2.0-34249975943 |
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