Hydromagnetic stability of some non-dissipative flows subject to non-axisymmetric disturbances

Details Hydromagnetic stability of some non-dissipative flows subject to non-axisymmetric disturbances Hydromagnetic stability of some non-dissipative flows subject to non-axisymmetric disturbances

Oct 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985ap%26ss.115...51b&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 115, no. 1, Oct. 1985, p. 51-60.

Astronomy and Astrophysics

Astrophysics

Magnetic Field Configurations, Magnetohydrodynamic Flow, Magnetohydrodynamic Stability, Axial Flow, Compressible Flow, Flow Velocity, Radial Flow

Scientific paper

A study is made of the linear stability of nondissipative flow of an electrically conducting fluid subject to nonaxisymmetric disturbances in the following cases: (1) the radial flow of an incompressible fluid between two concentric porous circular cylinders in the presence of a radial magnetic field and (2) axial flow of a compressible fluid between two concentric circular cylinders permeated by a helical magnetic field 0, B(0 theta)(r), B(0z) in a cylindrical coordinate system. It is shown that in case (1), the flow is stable if the Alfven velocity based on the undisturbed radial magnetic field exceeds the radial velocity due to suction or injection at the cylinder surfaces. In case (2), it is found that under certain conditions the complex wave speed for an unstable mode lies within a circle of diameter W(max) - W(min), where W(max) and W(min) are the maximum and minimum values of the axial velocity in the flow region. In the presence of a purely axial magnetic field, however, the complex wave speed for an unstable mode always lies within the above circle.

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