High mode magnetohydrodynamic waves propagation in a twisted rotating jet emerging from a filament eruption

Abstract

We study the conditions under which high mode magnetohydrodynamic (MHD) waves propagating on a rotating jet emerging from the filament eruption on 2013 April 10--11 can became unstable against the Kelvin--Helmholtz instability (KHI). The evolution of jet indicates the blob like structure at its boundary which could be one of the observable features of the KHI development. We model the jet as a twisted rotating axially moving magnetic flux tube and explore the propagation characteristics of the running MHD modes on the basis of dispersion relations derived in the framework of the ideal magnetohydrodynamics. It is established that unstable MHD waves with wavelengths in the range of $12$--$15$~Mm and instability developing times from $1.5$ to $2.6$~min can be detected at the excitation of high mode MHD waves. The magnitude of the azimuthal mode number $m$ crucially depends upon the twist of the internal magnetic field. It is found that at slightly twisted magnetic flux tube the appropriate azimuthal mode number is $m=16$ while in the case of a moderately twisted flux tube it is equal to $18$.

10 pages, 5 figures, 2 tables

References in corpus (13)

• Solar Coronal Jets: Observations, Theory, and Modeling
• Kinematics and Fine Structure of An Unwinding Polar Jet Observed by SDO/AIA
• Stability of rotating magnetized jets in the solar atmosphere. I. Kelvin-Helmholtz instability
• Magnetic Untwisting in Solar Jets that Go into the Outer Corona in Polar Coronal Holes
• The Kelvin-Helmholtz Instability at CME-Boundaries in the Solar Corona: Observations and 2.5D MHD Simulations
• On the plasma flow inside magnetic tornadoes on the Sun
• Structure of prominence legs: Plasma and magnetic field
• Formation of a rotating jet during the filament eruption on 10-11 April 2013
• Systematic variations of macrospicule properties observed by SDO/AIA over half a decade
• Kelvin--Helmholtz instability in a twisting solar polar coronal hole jet observed by \emph{SDO}/AIA
• Kelvin-Helmholtz instability on coronal mass ejecta in the lower corona
• Kelvin--Helmholtz instability in an active region jet observed with Hinode
• Quasi-biennial oscillations in the cross-correlation of properties of macrospicules

Cited by in corpus (5)

• Twin CME Launched by a Blowout Jet Originated from the Eruption of a Quiet-Sun Mini-filament
• Flow instabilities in solar jets in their upstream and downstream regimes
• Can High-Mode Magnetohydrodynamic Waves Propagating in a Spinning Macrospicule Be Unstable due to the Kelvin--Helmholtz Instability?
• How Rotating Solar Atmospheric Jets Become Kelvin--Helmholtz Unstable
• Observation of Large-Scale Kelvin-Helmholtz Instability Wave Driven by a Coronal Mass Ejection