Instabilities in free-surface Hartmann flow at low magnetic Prandtl numbers

DOI10.1017/S0022112009007824zbMath1183.76737arXiv0808.1130MaRDI QIDQ5306106

Dimitrios Giannakis, Robert Rosner, Paul F. Fischer

Publication date: 29 March 2010

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0808.1130

Mathematics Subject Classification ID

Magnetohydrodynamics and electrohydrodynamics (76W05) Stability and instability of magnetohydrodynamic and electrohydrodynamic flows (76E25)

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Cites Work

• Unnamed Item
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• Stability of conducting liquid flowing down an inclined plane at moderate Reynolds number in the presence of constant electromagnetic field
• A spectral Galerkin method for the coupled Orr-Sommerfeld and induction equations for free-surface MHD
• Long waves on a thin layer of conducting fluid flowing down an inclined plane in an electromagnetic field
• Spectral Galerkin discretization for hydrodynamic stability problems
• Stability of a layer of liquid flowing down an inclined plane
• Some Studies of Free-Surface Mercury Magnetohydrodynamics
• On the stability of the Hartmann layer
• Solution to the orr-sommerfeld equation for liquid film flowing down an inclined plane: An optimal approach
• The instability of sheared liquid layers
• A numerical study of the temporal eigenvalue spectrum of the Blasius boundary layer
• Hydrodynamic Stability
• The stability of the modified plane Poiseuille flow in the presence of a transverse magnetic field
• The stability of the modified plane couette flow in the presence of a transverse magnetic field
• Stability of plane Hartmann flow subject to a transverse magnetic field
• Magnetohydrodynamic Gravity—Capillary Waves in a Liquid Film
• Accurate solution of the Orr–Sommerfeld stability equation
• Stability of Liquid Flow down an Inclined Plane
• On the behaviour of small disturbances in plane Couette flow
• On the stability of viscous flow between parallel planes in the presence of a co-planar magnetic field
• On the Stability of Two-Dimensional Parallel Flows
• Chebyshev tau-QZ algorithm methods for calculating spectra of hydrodynamic stability problems