The magnetic Rayleigh-Taylor instability and flute waves at the ion Larmor radius scales

Onishchenko, O. G.; Pokhotelov, O. A.; Stenflo, L.; Shukla, P. K.
February 2011
Physics of Plasmas;Feb2011, Vol. 18 Issue 2, p022106
Academic Journal
The theory of flute waves (with arbitrary spatial scales compared to the ion Larmor radius) driven by the Rayleigh-Taylor instability (RTI) is developed. Both the kinetic and hydrodynamic models are considered. In this way we have extended the previous analysis of RTI carried out in the long wavelength limit. It is found that complete finite ion Larmor radius stabilization is absent when the ion diamagnetic velocity attains the ion gravitation drift velocity. The hydrodynamic approach allowed us to deduce a new set of nonlinear equations for flute waves with arbitrary spatial scales. It is shown that the previously deduced equations are inadequate when the wavelength becomes of the order of the ion Larmor radius. In the linear limit a Fourier transform of these equations yields the dispersion relation which in the so-called Padé approximation corresponds to the results of the fully kinetic treatment. The development of such a theory gives us enough grounds for an adequate description of the RTI stabilization by the finite ion Larmor radius effect.


Related Articles

  • Beyond NICS. Pelloni, Stefano; Monaco, Guglielmo; Zanasi, Riccardo; Lazzeretti, Paolo // AIP Conference Proceedings;6/22/2012, Vol. 1456 Issue 1, p114 

    A ring current model describing the flow of delocalized electrons, induced in unsaturated molecules by a magnetic field perpendicular to the molecular plane, has been developed to define simple and practical indices of current strength, which provide a reliable measure of aromaticity on the...

  • Partial regularity of solutions to the magnetohydrodynamic equations. Vyalov, V. // Journal of Mathematical Sciences;Apr2008, Vol. 150 Issue 1, p1771 

    We study the local smoothness of solutions to the magnetohydrodynamic equations where O is a domain in R3, QT = O � (-T, 0), v: QT ? R3 is the velocity, p: QT ? R is the pressure, and H: QT ? R3 is the stress of the magnetic field. An analog of the known Caffarelli-Kohn-Nirenberg theorem is...

  • Primary instability mechanisms on the magnetohydrodynamic boundary layer flow over a rotating disk subject to a uniform radial flow. Turkyilmazoglu, M. // Physics of Fluids;Jul2009, Vol. 21 Issue 7, p074103 

    This paper is devoted to the investigation of three primary linear instability mechanisms due to the resonating disturbance waves present in the three-dimensional incompressible viscous/inviscid rotating disk boundary layer flow, extending our earlier still outer fluid work [M. Turkyilmazoglu,...

  • Growth of filaments and saturation of the filamentation instability. Gedalin, M.; Medvedev, M.; Spitkovsky, A.; Krasnoselskikh, V.; Balikhin, M.; Vaivads, A.; Perri, S. // Physics of Plasmas;Mar2010, Vol. 17 Issue 3, p032108 

    The filamentation instability of counterstreaming beams is a nonresonant hydrodynamic-type instability whose growth rate is a smooth function of the wavelength (scale). As a result, perturbations with all unstable wavelengths develop, and the growth saturates due to the saturation of available...

  • Ion drag forces and magnetomechanical effect. Nedospasov, A.; Nenova, N. // Journal of Experimental & Theoretical Physics;Nov2010, Vol. 111 Issue 5, p877 

    Ion flows (ion drag forces) acting on macroscopic-size particles play a significant role in a plasma containing macroparticles. It is shown that ion drag forces can explain the magnetomechanical effect. The formula is derived for determining the dependence of the moment of the magnetomechanical...

  • The Influence of Wall Properties on MHD Peristaltic transport of Dusty Fluid. Rathod, V. P.; Kulkarni, Pallavi // Advances in Applied Science Research;Jun2011, Vol. 2 Issue 3, p265 

    The interaction between peristaltic transport of a dusty fluid (Saffman's model) in a twodimensional uniform channel and the elasticity of the channel's flexible walls was studied under long wavelength approximation and uniform magnetic field. Perturbation solutions were obtained for the stream...

  • Self-assembling fluidic machines. Grzybowski, Bartosz A.; Radkowski, Michal; Campbell, Christopher J.; Lee, Jessamine Ng; Whitesides, George M. // Applied Physics Letters;3/8/2004, Vol. 84 Issue 10, p1798 

    This letter describes dynamic self-assembly of two-component rotors floating at the interface between liquid and air into simple, reconfigurable mechanical systems (“machines”). The rotors are powered by an external, rotating magnetic field, and their positions within the interface...

  • Dynamic self-assembly of magnetized, millimetre-sized liquid-air interface. Grzybowski, Bartosz A.; Stone, Howard A.; Whitesides, George M. // Nature;6/29/2000, Vol. 405 Issue 6790, p1033 

    Describes the formation of dynamic patterns of millimetre-sized magnetic disks at a liquid-air interface, subject to a magnetic field produced by a rotating permanent magnet. Methods; Results; Conclusions regarding the repulsive hydrodynamic interaction observed, which should lead to a better...

  • Corrected Article: “Experimental study of liquid metal channel flow under the influence of a nonuniform magnetic field” [Phys. Fluids 18, 065108 (2006)]. Andreev, O.; Kolesnikov, Yu.; Thess, A. // Physics of Fluids;Mar2007, Vol. 19 Issue 3, p039902 

    We present an experimental study of a liquid metal flow in a rectangular channel under the influence of an inhomogeneous magnetic field. This is a fundamental problem of liquid metal magnetohydrodynamics that is relevant to the technique of electromagnetic braking in the process of continuous...


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics