I've never heard a hypothesis that posits work occurring on the surface.
How stupid are you? What makes you think that only work occurring at the surface could cause energy to flow from the surface to the corona?
Sure, since you apparently aren't smart enough to look it up on your own.
New clue to solving the mystery of the Sun's hot atmosphere
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"Why the Sun's corona is so hot is a long-standing puzzle. It's as if a flame were coming out of an ice cube. It doesn't make any sense! Solar astronomers think that the key lies in the magnetic field, but there are still arguments about the details," added Dr Brooks.
The team of scientists analysed observations from the Solar Dynamics Observatory at a time of low activity (solar minimum) starting in 2010, and through till 2014 when huge magnetic active regions crossing the solar disk were common.
An unknown mechanism preferentially transports certain elements, such as Iron, into the corona instead of others, giving the corona its own distinctive elemental signature. The team think that the mechanism that separates the elements and supplies material to the
corona may also be closely related to the transport of energy, and that understanding it may provide clues to explain the whole coronal heating process.
NASA Might Have Just Solved One of The Sun's Oldest Mysteries
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Now, based on observations from
the IRIS (Interface Region Imaging Spectrograph) mission, NASA researchers think the corona is partly heated by 'heat bombs' going off, caused by blasts of energy from magnetic fields criss-crossing and realigning in the corona.
This could also answer the question of whether the corona is being heated uniformly all at once, or in separate pockets that quickly spread out across the upper atmosphere - something
scientists have been wondering about since the corona's intense heat was discovered.
I read that the sun's surface temperature is about 6,000 degrees Celsius but that the corona--the sun's atmosphere--is much hotter, millions of degrees. How does all that energy get into the corona without heating up the surface?
Clip: "Basically, one cannot account for the heating of the corona by a radiative flow, so we think the corona is heated by some sort of magnetohydrodynamic (MHD) wave flowing out of lower levels of the sun. Images of the sun in the far ultraviolet and in X-rays (acquired most recently by the Solar and Heliospheric Observatory spacecraft, the Yohkoh satellite, and the NIXT rockets) show that the heating of the corona is localized in solar active regions, which indicates the important role played by the magnetic field. There are perhaps a dozen specific models that have been proposed to account for the high temperature of the corona.
Or does work at the core allow this "mysterious" cool to hotter flow?
You just don't seem to be able to hid your ignorance...that is because you keep talking but never bother to look anything up...according to the Scientific American article, they state quite explicitly that one can't account for the heating of the corona by a radiative flow...sorry guy, you are just wrong and the more research that is done, the more wrong the more eivdent that becomes. The search is for the mechanism (work) that moves that energy to the corona...no one but you assumes that it is the result of a simple radiative flow.