Instability of a surface of discontinuity of velocity in a parallel uniform magnetic field
- 1 June 1963
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Fluid Mechanics
- Vol. 16 (2) , 187-196
- https://doi.org/10.1017/s0022112063000689
Abstract
The problem described by the title is investigated when the magnetic field is uniform and parallel to the velocity on the two sides of a surface of discontinuity of velocity in an electrically conducting inviscid fluid. The secular equation depends on two parameters β and N, where β is the ratio of magnetic Reynolds number to dimensionless wave number and N is the ratio of the magnetic to the kinetic energy of the fluid. It is found that the flow is unstable for all values of β and N.Keywords
This publication has 3 references indexed in Scilit:
- Stability of parallel flow in a parallel magnetic field at small magnetic Reynolds numbersJournal of Fluid Mechanics, 1960
- Stability of a Broken-Line Jet in a Parallel Magnetic FieldJournal of Mathematics and Physics, 1960
- The stability of a combined current and vortex sheet in a perfectly conducting fluidMathematical Proceedings of the Cambridge Philosophical Society, 1955