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Research Papers

Capillary Electrodynamic Stability of Self-Gravitational Fluid Cylinder With Varying Electric Field

[+] Author and Article Information
Alfaisal A. Hasan

Basic and Applied Sciences Department,  College of Engineering and Technology, Arab Academy for Science and Technology and Maritime Transport (AASTMT), P.O. Box 2033, Elhorria, Cairo, Egyptalfaisal772001@yahoo.com

J. Appl. Mech 79(2), 021006 (Feb 09, 2012) (7 pages) doi:10.1115/1.4005576 History: Received December 04, 2010; Revised October 27, 2011; Posted February 01, 2012; Published February 09, 2012; Online February 09, 2012

The instability of a self-gravitating fluid cylinder surrounded by a self-gravitating tenuous medium pervaded by transverse varying electric field is discussed under the combined effect of the capillary, self-gravitating, and electric forces. This has been done for all axisymmetric and nonaxisymmetric modes of perturbation. The problem is formulated and solved with excluding the singular solutions, and the stability criterion is derived. Several published works are obtained as limiting cases from the present general case and investigated, and moreover the results are interpreted physically. The model is stable due to the stabilizing effect of the transverse electric field in all modes of perturbation. The destabilizing effect of the capillary and self-gravitating forces is found in small domain in the axisymmetric perturbation. However, the stabilizing effects of the capillary and self-gravitating forces in large axisymmetric domains and in all nonaxisymmetric domains modify and improve the instability of the present model.

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Copyright © 2012 by American Society of Mechanical Engineers
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Figures

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Figure 1

Sketch for gravitational dielectric fluid cylinder

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Figure 2

Stable and unstable domains for (M,N)=(0.2,0.3)

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Figure 3

Stable and unstable domains for (M,N)=(0.2,0.7)

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Figure 4

Stable and unstable domains for (M,N)=(0.6,0.3)

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Figure 5

Stable and unstable domains for (M,N)=(0.6,0.7)

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