Why does the inner stream in the vortex tube lose heat and the outer stream gain heat in R-H vortex tube. I am looking for an explanation that describes the physics of the process.
There are different explanations for this effect, but I don't like them. Because, as a rule, they do not go beyond the scope of ordinary hydro-gas dynamics.
In fact, explanation of the Ranque-Hilsch effect requires much deeper knowledge than we currently possess. In particular, we do not know well what a liquid is. We know a little better what the gas or steam is. And we still don’t know what the turbulence is.
Without solving these questions, we will not be able to explain the Ranque-Hilsch paradox, when heat from a less heated region goes to a more heated one.
The first obstacle in explanation of this paradox will be the generally accepted approach to viewing the work environment as a continuum. Its discreteness in the form of atoms and molecules matters.
The second obstacle will be ignoring the rotational movements of the elements of the liquid (gas) not only at rest, but also during its forced flow. When, during a laminar flow, the excitation of (not microscopic) vortices causes them to be in an ordered state, and when transitioning to a turbulent regime, the vortices are forced to move from the walls, where they arise above a certain limit, into the flow region with lower vorticity. These are already quantum effects associated with the discreteness of the medium, and which many are not even aware of.
The third obstacle will be ignoring the principle of the greatest or maximum transfer of action quanta h in a nonequilibrium flow, which is realized in a vortex tube. Few people have heard of this principle either, despite the attempts of Ilya Prigogine and others to understand nonequilibrium processes.
Note: the quantum of action h, known as Planck's constant, has the dimension of angular momentum and is suitable for describing rotational movements.