 |
Bulgarian Journal of Physics
Print: 1310-0157 Online: 1314-2666
|
RECOGNIZED BY THE EUROPEAN PHYSICAL SOCIETY 
Bulg. J. Phys. vol.17 no.4 (1990), pp. 317-329
Electrohydrodynamic Stability of Two Circular Layers between Two Fluids
E.F. El Shehawey1, N.R. Abd El Gawaad2
1Department of Mathematics and Computer Sciences, Faculty of Science, Al-Ain P.O. Box 15551, U.A.E. University, United Arab Emirates
2Department of Mathematics, University College for Women, Ain Shams University, Cairo, Egypt
go back1Department of Mathematics and Computer Sciences, Faculty of Science, Al-Ain P.O. Box 15551, U.A.E. University, United Arab Emirates
2Department of Mathematics, University College for Women, Ain Shams University, Cairo, Egypt
Abstract. The electrohyclrodynamic stability of two circular layers between two fluids and confined in an infinite rigid cylinder is studied. The system is influenced by a periodic axial electric field and stressed by gravily force. Applying linear perturbation theory, three simultaneous ordinary differential equations of the Mathieu type arc obtained. The special case or a constant electric field is also examined. Three simultaneous ordinary second order differential equations are obtained. Eigenvalues of wave numbers due to the presence of the rigid cylinder have been determined both theoretically and numerically. Stability conditions for the three circular interfaces are obtained. It is found that some stable wavenumbers for the infinite plane interfaces are not allowed in the case of circular interfaces.