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From my point of view, high gas pressure input creates air rotation inside the tube. Due to the rotation, the kinetic energy in the air change to internal energy. The internal energy release as heat energy. The heat energy goes out and the cold air stay. The cold air flows back to the other end to create the cold air flow.

If what I am thinking is right, I don't understand why the inner vortex tube is cold. From the circular motion point of view, air needs more kinetic energy to rotate in a smaller radius than in a larger radius. This could draw a conclusion that the air in the inner tube rotates slower than the air in outer tube.

-HOWEVER

I read the following from Wikipedia

What is usually agreed upon is that the air in the tube experiences mostly "solid body rotation", which means the rotation rate (angular velocity) of the inner gas is the same as that of the outer gas. This is different from what most consider standard vortex behavior — where inner fluid spins at a higher rate than outer fluid. The (mostly) solid body rotation is probably due to the long length of time during which each parcel of air remains in the vortex — allowing friction between the inner parcels and outer parcels to have a notable effect.

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How I understand is difference from Wikipedia. Do I make some conceptual mistake? Please help

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Same question has been asked earlier.so please go thru this for little more information. physics.stackexchange.com/q/63626 –  nemu Oct 14 '13 at 14:53
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marked as duplicate by dmckee Dec 31 '13 at 3:48

This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.

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This effect has been studied for 80 years already, it is governed by a subtle law of physics. To understand it, this is a good set of steps to take: (1) learn what is static temperature Ts (2) learn what is total temperature T Read the article of J. Polihronov and A. Straatman "Thermodynamics of angular propulsion in fluids", Phys. Rev. Lett. 109, 054504, 2012.

The cooling appears because work is removed from the gas Heating appears because the delivered work is converted into internal energy. I am putting together a web site with some more explanations and illustrations here:

http://sites.google.com/site/vortextubeeffect

Have fun in the studying of this amazing effect! Regards, J. Polihronov

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