Title

Electrodynamic stability of a selfgravitating cylindrical fluid under a variable transverse electric field

Abstract

A study is made of the electrogravitodynamic stability of a fluid cylinder ambient with a self-gravitating tenuous medium of zero inertia pervaded by a variable transverse electric field. The stability condition is derived in its general form with physical interpretation and then investigated numerically. Several special stability results are derived as limiting cases of our general dispersion relation. It is shown that the fluid cylinder is gravitationally stable for non-axisymmetric disturbances of all wavelengths, and unstable axisymmetric disturbances of small wavenumbers. On the other hand, the electrodynamic force with a variable transverse electric field has no effect on the fluid cylinder for axisymmetric disturbances, but has a stabilizing effect for non-axisymmetric disturbances. Physically, the electrodynamic force with a variable field gives a measure of rigidity to the self-gravitating fluid which in turn causes the bending and twisting of the lines of force and has a strong stabilizing influence to decrease the domain of the gravitational instability. Moreover, above a certain intensity of the applied electric field, the self-gravitating instability is completely suppressed by the strong stabilizing effect of the electrodynamic force, and then stability occurs. Numerical computations of theoretical results are made with graphical presentations.

Publication Date

1-1-1998

Publication Title

ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik

Volume

78

Issue

2

Number of Pages

137-141

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1002/(SICI)1521-4001(199802)78:2<137::AID-ZAMM137>3.0.CO;2-6

Socpus ID

33750225541 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/33750225541

This document is currently not available here.

Share

COinS