Selfgravitating electrodynamic stability of a fluid-tar annular jet pervaded by periodic time dependet electric field

• Autorzy: Radwan Ahmed E.
• Języki publikacji: EN

Abstrakty

EN

The self-gravitating electrodynamic stability of an annular fluid jet (a fluid jet having a tar cylinder as a mantle) pervaded and surrounded by periodic time dependent electric field has been developed. The perturbed system equations describing the model motion is turned to a second integro-differential Mathieu equation. The self-gravitational force is destabilizing only for small axisymmetric perturbation modes. The radii tar-fluid cylinders ratio plays an important role in stabilizing the model. The periodic longitudinal electric field is strongly destabilizing for all perturbation modes. However under some restrictions (independent of the electric field amplitude), it is found that the electric field frequency has a stabilizing influence and that influence suppresses almost the instability character of the annular jet. In contrast to the same model pervaded by classical (constant) electric field, the self-gravitational instability will never be suppressed whatever is the strength of the pervaded electric field. The present analyses have been performed on the basis of the Lagrangian energy principle which it was not an easy job.

Słowa kluczowe

EN

stability; nonlinear integrodifferential equations; delay continuation

PL

stabilność; całkowo-różniczkowe równanie nieliniowe; opóźniona kontynuacja

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 1998
• Tom: Vol. 4, nr 1
• Strony: 89--109
• Opis fizyczny: Bibliogr. 25 poz.

Twórcy

autor

Radwan Ahmed E.

• Mathematics Department Faculty of Science Ain-Shams University Cairo, Egypt