THE GRAVITATIONAL OSCILLATION OF A FLUID CYLINDER UNDER VARYING ELECTRIC FIELD

Samia S. Elazab ; zeinab mohamed ibrahim ismail 


Abstract


The gravitational oscillation of a dielectric fluid cylinder surrounded by gravitational dielectric medium of negligible motion has been investigated via the normal mode analysis for non- axisymmetric perturbation. The acting forces on the model are: self-gravitating, pressure gradient and electrodynamic forces with oscillating time dependent electric field. We obtained Mathieu second order integro-differential equation. The oscillating electric field is only destabilizing in few axisymmentric states but it is strongly stabilizing in the remaining axisymmentric states. The self gravitating has strong destabilizing influence in the domain 0


Other data

Keywords electrogravitational; periodic time dependent; Hydrodynamic stability; Stability of laminar flows.
Issue Date 1-Nov-2013
Source fluid dynamic
Journal International Journal of Mathematical Archive 
URI http://research.asu.edu.eg/handle/123456789/2388


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