Unstable transition properties of the driven magnetohydrodynamic sheet pinch

DOI10.1017/S002211208600054XzbMath0623.76037OpenAlexW2004063428MaRDI QIDQ3761924

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Publication date: 1986

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

Full work available at URL: https://doi.org/10.1017/s002211208600054x

zbMATH Keywords

parallel shear flowshydrodynamic theorysecondary instability mechanismnonlinearly saturated stateattraction currentsbounded, current-carrying, two-dimensional magnetofluiddynamic tearingelectric current sheetsLandau nonlinear stability theorymagnetic 0-pointsNonlinear excitationperturbation energy balanceperturbed driven magnetohydrodynamic sheet pinchsawtooth-like temporal oscillationssemi-implicit, mixed Fourier collocation-finite difference algorithmtwo-dimensional, incompressible, viscoresistive magnetohydrodynamicsunstable transition behaviour

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) Magnetohydrodynamics and electrohydrodynamics (76W05) Stability and instability of magnetohydrodynamic and electrohydrodynamic flows (76E25) Basic methods in fluid mechanics (76M99)

Related Items (1)

Coherent structure formation and magnetic field line reconnection in magnetohydrodynamic turbulence

Cites Work

• Nonlinear, two-dimensional magnetohydrodynamic calculations
• On two-dimensional magnetohydrodynamic turbulence
• On the non-linear mechanics of hydrodynamic stability
• Energy balance of the collisional tearing mode
• Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surface
• Accurate solution of the Orr–Sommerfeld stability equation

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