Abstract
It is established that application of the model of a continuous medium with distributed internal angular momenta (angular-momentum medium) to the description of real flows in Ranque vortex tubes allows the revelation of a physical effect that is responsible for the experimentally observed separation of temperatures and for some other flow properties. Simplified relations describing changes in the total enthalpy are deduced in the approximations of equilibrium and nonequilibrium thermodynamics. The inhomogeneity of temperature is explained by the properties of a complex (three-parameter) thermodynamic system; its increase is caused by the strengthening of the angular momentum field M under the action of angular velocity Ω in the vortex tube, while its decrease is due to the destruction of this field because of a rapid decrease in vorticity in the near-axial region of the tube. Both these processes provide additional entropy production 2γt(Ω−λ−2 M)2/T, where γ t is the coefficient of rotatory viscosity of the angular-momentum medium. The same mechanism is operative in incom-pressible flows.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
G. L. Ranque, J. Phys. Radium 4, 112 (1933).
A. F. Gutsol, Usp. Fiz. Nauk 167, 665 (1997) [Phys. Usp. 40, 639 (1997)].
V. A. Arbuzov, Yu. N. Dubnishchev, A. V. Lebedev, et al., Pis’ma Zh. Tekh. Fiz. 23(23), 84 (1997) [Tech. Phys. Lett. 23, 938 (1997)].
G. V. Skornyakov, Pis’ma Zh. Tekh. Fiz. 21(23), 1 (1995) [Tech. Phys. Lett. 21, 949 (1995)].
G. V. Skornyakov, Zh. Tekh. Fiz. 66(1), 3 (1996) [Tech. Phys. 41, 1 (1996)].
Y. A. Berezin and V. M. Trofimov, Continuum Mech. Thermodyn. 7, 415 (1995); Izv. Akad. Nauk, Mekh. Zhidk. Gaza 1, 47 (1996).
Yu. V. Nemirovskii and Ya. L. Heinloo, Izv. Sib. Otd. Akad. Nauk SSSR, Ser. Tekh. Nauk 3(13), 74 (1978).
V. S. Sorokin, Zh. Éksp. Teor. Fiz. 13(7–8), 306 (1943).
V. V. Sychev, Complex Thermodynamic Systems (Nauka, Moscow, 1970), p. 232.
L. D. Landau and E. M. Lifshitz, Statistical Physics (Akad. Nauk SSSR, Moscow, 1964; Pergamon, Oxford, 1980).
M. I. Shliomis, Zh. Éksp. Teor. Fiz. 51, 258 (1966) [Sov. Phys. JETP 24, 173 (1966)].
S. R. de Groot and P. Mazur, Nonequilibrium Thermodynamics (North-Holland, Amsterdam, 1962; Mir, Moscow, 1964).
V. E. Fin’ko, Zh. Tekh. Fiz. 53, 1770 (1983) [Sov. Phys. Tech. Phys. 28, 1089 (1983)].
Author information
Authors and Affiliations
Additional information
__________
Translated from Pis’ma v Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 72, No. 5, 2000, pp. 366–370.
Original Russian Text Copyright © 2000 by Trofimov.