Stability of Hydromagnetic Kelvin-Helmholtz Discontinuity

Journal Article · Tue Jan 01 04:00:00 EST 1963 · Physics of Fluids (New York)

DOI:https://doi.org/10.1063/1.1706875· OSTI ID:4677656

Sen, Amiya K.

The most general form of hydromagnetic Kelvin-Helmholtz discontinuity in ideal incompressible fluids was considered. The presence of surface tension on the surface of discontinuity and gravity is also assumed. The stability of the hydromagnetic flow of two uniform infinite streams with planar interface exhibiting this type of discontinuity, was analyzed in detail. Two necessary and sufficient criteria for its stability were obtained, in contrast to only one that is usually given. The stabilizing effect of magnetic field is strongly dependent on its discontinuity at the interface and its orientation relative to that of streaming. The consideration of the stability to a single mode of perturbation leads to the conclusion that this is dependent on the above mentioned factors, as well as the following ones. The effect of surface tension and gravity is dependent on the wavelength, while that of the magnetic field is dependent on the direction of propagation of perturbation.

• Research Organization: Columbia Univ., New York
• Sponsoring Organization: USDOE
• NSA Number: NSA-17-032774
• OSTI ID: 4677656
• Journal Information: Physics of Fluids (New York), Journal Name: Physics of Fluids (New York) Journal Issue: 8 Vol. 6; ISSN 0031-9171; ISSN PFLDAS
• Publisher: American Institute of Physics
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
DISTRIBUTION
EQUATIONS
FLUID FLOW
MAGNETIC FIELDS
MAGNETOHYDRODYNAMICS
MOTION
STABILITY
SURFACE TENSION
SURFACES