Rayleigh-Taylor instability of compressible fluids in the presence of a vertical magnetic field

✍ Scribed by Ariel, P. D.

• Publisher: Springer
• Year: 1971
• Tongue: English
• Weight: 326 KB
• Volume: 24
• Category: Article
• ISSN: 0003-6994
• DOI: 10.1007/bf00411720

✦ Synopsis

The influence of a vertical magnetic field on the stability of a compressible, inviscid Iluid of variable density is investigated. The solution is characterized by a variational principle. Based on it an approximate solution for the fluid of exponentially varying density, confined between two planes is obtained. The magnetic field is found to have a stabilizing influence on the unstable arrangement. Also the eIfect of a magnetic field on the angular frequency of oscillations of the waves generated in stable arrangement is considered.

Nomenclature

A constant, denoting a characteristic vertical component of velocity c velocity of sound in the medium co velocity of sound at z = 0 d depth of the fluid layer --2 9 4 --