Nonlinear electrohydrodynamic instability conditions of an interface between two fluids under the influence of a tangential periodic electric field II
El Shehawey, E.F.; Abd El-Gawaad, Nadia;
Abstract
A charge-free surface separating two semi-infinite dielectric fluids influenced by a tangential periodic electric field is subjected to nonlinear deformations. We use the method of multiple scales in order to solve nonlinear equations. In the first order problem, we obtain Mathieu's differential equation. In the second order problem, we obtain the nonhomogenous Mathieu equation and we use the method of multiple scales to obtain a sequence of equations. In the third order problem, we obtain a differential equation of the second order of periodic coefficients. Also, we obtain a formula for surface elevation. The stability conditions are determined. © 1989.
Other data
| Title | Nonlinear electrohydrodynamic instability conditions of an interface between two fluids under the influence of a tangential periodic electric field II | Authors | El Shehawey, E.F. ; Abd El-Gawaad, Nadia | Issue Date | 1989 | Journal | Physica A: Statistical Mechanics and its Applications | DOI | 1 https://api.elsevier.com/content/abstract/scopus_id/24844466989 221 161 10.1016/0378-4371(89)90399-3 |
Scopus ID | 2-s2.0-24844466989 |
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