STABILITY OF A PRESSURE-DRIVEN FLOW BETWEEN COAXIAL CYLINDERS IN A LONGITUDINAL MAGNETIC FIELD

A system of equations of magnetohydrodynamics for an incompressible fluid is used to study flow stability between coaxial cylinders, which arises under the action of a longitudinal pressure gradient, in the case where a uniform magnetic field is directed along the cylinder axis. The differential swe...

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Bibliographic Details
Published in:Journal of applied mechanics and technical physics 2020-11, Vol.61 (6), p.917-924
Main Author: Proskurin, A. V.
Format: Article
Language:English
Subjects:
Applications of Mathematics
Classical and Continuum Physics
Classical Mechanics
Cylinders
Electrical resistivity
Electrons
Flow stability
Fluid dynamics
Fluid flow
Fluid- and Aerodynamics
Incompressible flow
Incompressible fluids
Magnetic fields
Magnetism
Magnetohydrodynamics
Mathematical Modeling and Industrial Mathematics
Mechanical Engineering
Physics
Physics and Astronomy
Reynolds number
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Summary:A system of equations of magnetohydrodynamics for an incompressible fluid is used to study flow stability between coaxial cylinders, which arises under the action of a longitudinal pressure gradient, in the case where a uniform magnetic field is directed along the cylinder axis. The differential sweep method is applied to investigate the dependences of the critical Reynolds numbers on the value of electrical conductivity and the external magnetic field. The existence of two ranges of electrical conductivity values is established, in which the stabilizing effect of the magnetic field is most significant. An abrupt increase in the critical Reynolds numbers and the detachment of closed instability regions from neutral curves are revealed.
ISSN:0021-8944
1573-8620
DOI:10.1134/S0021894420060024