On the interaction between Tollmien-Schlichting and Rayleigh-Bénard instabilities in the presence of a longitudinal magnetic field

DOI10.1017/S0305004100060655zbMath0514.76044MaRDI QIDQ3661156

E. S. Shivaraya, N. Rudraiah

Publication date: 1983

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

Richardson numbersmall magnetic Reynolds numberthermally stratified fluideddieseffect of aligned magnetic fieldRayleigh-Benard-Thompson mechanismSquire's transformationStuart numberthermally unstableTollmien-Schlichting-Stuart mechanism

Mathematics Subject Classification ID

Absolute and convective instability and stability in hydrodynamic stability (76E15) Stability and instability of magnetohydrodynamic and electrohydrodynamic flows (76E25)

Cites Work

• Studies on Magneto-Hydrodynamic Waves and other Anisotropic wave motions
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• Thermal and magnetically driven convection in a rapidly rotating fluid layer
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• The stability of thermally stratified plane Poiseuille flow
• Eigenvalue bounds for the Orr-Sommerfeld equation
• The stability of spiral flow between rotating cylinders
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• Magnetohydrodynamics of the Earth's Core
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• Propagation of Alfvén-gravitational waves in a stratified perfectly conducting flow with transverse magnetic field
• On the hydromagnetic stability of a rotating fluid annulus
• Magnetohydrodynamic stability of heterogeneous dissipative conducting liquids
• On the stability of viscous flow between parallel planes in the presence of a co-planar magnetic field

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