Amplification of small perturbations in a Hartmann layer

DOI10.1063/1.1456512zbMath1185.76141OpenAlexW2102914653MaRDI QIDQ3555920

David Gérard-Varet

Publication date: 22 April 2010

Published in: Physics of Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1456512

zbMATH Keywords

laminar flowbifurcationboundary layersmagnetohydrodynamicsnumerical analysisflow instability

Mathematics Subject Classification ID

Fluid mechanics (76-XX)

Related Items (16)

Quasi-two-dimensional perturbations in duct flows under transverse magnetic field ⋮ Analysis of the Tollmien-Schlichting wave in the Prandtl-Hartmann regime ⋮ Comparative study of finite difference approaches in simulation of magnetohydrodynamic turbulence at low magnetic Reynolds number ⋮ Secondary optimal energy growth and magnetic damping of turbulence in Hartmann channel flow ⋮ Weakly nonlinear stability analysis of magnetohydrodynamic channel flow using an efficient numerical approach ⋮ Weakly nonlinear stability of Hartmann boundary layers ⋮ Optimal and robust control of small disturbances in a channel flow with a normal magnetic field ⋮ Three-dimensional linear stability analysis of lid-driven magnetohydrodynamic cavity flow ⋮ On the amplification of small disturbances in a channel flow with a normal magnetic field ⋮ Parametric study of streak breakdown mechanism in Hartmann flow ⋮ From three-dimensional to quasi-two-dimensional: transient growth in magnetohydrodynamic duct flows ⋮ Stability of a pressure-driven flow between coaxial cylinders in a longitudinal magnetic field ⋮ Transition in channel flow with streamwise magnetic field ⋮ Optimal linear growth in magnetohydrodynamic duct flow ⋮ Stability of Bödewadt-Hartmann layers ⋮ Optimal growth and transition to turbulence in channel flow with spanwise magnetic field

Cites Work

• Energy growth in viscous channel flows
• Transition from Laminar to Turbulent Flow in Magneto-Fluid Mechanic Channels
• On the stability of the Hartmann layer
• 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

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