Stability of a Broken‐Line Jet in a Parallel Magnetic Field

Drazin, P. G.

doi:10.1002/sapm196039149

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Axial Flow With Uniform Axial Magnetic Field1

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1961

1968

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Cited by 8 publications

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“…To give an example illustrating this stability condition we may make use of the 'wide narrow-gap approximation' and take over Drazin's (1960) example of an unbounded jet having W = W, in a finite interval, and W = 0 elsewhere. Drazin found, in the present case of a single fluid and infinite magnetic Reynolds number, that this flow is stable when, and only when, pHi/4mp 2 (+Wo)2, i.e.…”

Section: Axial Flow With Uniform Axial Magnetic Fieldmentioning

confidence: 99%

On the hydrodynamic and hydromagnetic stability of swirling flows

1962

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Some general stability criteria for non-dissipative swirling flows are derived, and extended to the case of an electrically conducting fluid in the presence of axial magnetic field and current. In particular it is shown that the analogy between a rotating and a stratified fluid holds in this case, and that an important determinant of stability is a ‘Richardson number’ based on the analogue of the density gradient and the shear in the axial flow.

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Section: Axial Flow With Uniform Axial Magnetic Fieldmentioning

confidence: 99%

On the hydrodynamic and hydromagnetic stability of swirling flows

1962

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1967

Applied Mathematics and Mechanics

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Instability of a surface of discontinuity of velocity in a parallel uniform magnetic field

Mallick

1963

J. Fluid Mech.

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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.

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Stability of a Broken‐Line Jet in a Parallel Magnetic Field

Cited by 8 publications

References 5 publications

On the hydrodynamic and hydromagnetic stability of swirling flows

On the hydrodynamic and hydromagnetic stability of swirling flows

Additional Bibliography

Instability of a surface of discontinuity of velocity in a parallel uniform magnetic field

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