Jt. Karpen et al., THE EFFECTS OF KELVIN-HELMHOLTZ INSTABILITY ON RESONANCE-ABSORPTION LAYERS IN CORONAL LOOPS, The Astrophysical journal, 421(1), 1994, pp. 372-380
One of the long-standing uncertainties in the wave-resonance theory of
coronal heating is the stability of the resonance layer. The wave mot
ions in the resonance layer produce highly localized shear flows which
vary sinusoidally in time with the resonance period. This configurati
on is potentially susceptible to the Kelvin-Helmholtz instability (KHI
), which can enhance small-scale structure and turbulent broadening of
shear layers on relatively rapid ideal timescales. We have investigat
ed numerically the response of a characteristic velocity profile, deri
ved from resonance absorption models, to finite fluid perturbations co
mparable to photospheric fluctuations. We find that the KHI primarily
should affect long (greater than or similar to 6 x 10(4) km) loops whe
re higher velocity flows (M greater than or similar to 0.2) exist in r
esonance layers of order 100 km wide. There, the Kelvin-Helmholtz grow
th time is comparable to or less than the resonance quarter-period, an
d the potentially stabilizing magnetic effects are not felt until the
instability is well past the linear growth stage. Not only is the reso
nance layer broadened by the KHI, but also the convective energy trans
port out of the resonance layer is increased, thus adding to the effic
iency of the wave-resonance heating process. In shorter loops, e.g., t
hose in bright points and compact flares, the stabilization due to the
magnetic field and the high resonance frequency inhibit the growth of
the Kelvin-Helmholtz instability beyond a minimal level.