Abstract
A thermodynamic description of the Ranque effect is given. Inclusion of expansion and compression into the energy exchange process provides a rational explanation to the effect observed. These works are performed by small portions of the gas in polytropic processes. Rotational motion of the gas and the presence of irreversibility in the expansion and compression processes are responsible for energy separation. The mathematical model is constructed with the use of conservation laws and polytropic expansion. Optimization calculations are performed for various values of the efficiency and Mach number of the exhausting hot gas. A method of working process optimization hat can be used in practice is proposed. The efficiency of the expansion work is also determined in the course of optimization.
Similar content being viewed by others
References
G.J. Ranque, Experiences sur la détente giratoire avec productions simultanées d’air chaud et d’ un echappement d’air froid, J. Phys. Radium., 1933, Vol. IV/VII, No. 6, P. 112–115.
A.F. Gutsol, The Ranque effect, Physics-Uspekhi, 1997, Vol. 40, No. 6 P. 639–658.
Sh.A. Piralishvili, V.M. Polyaev, and M.N. Sergeev, Vortex Effect. Experiment, Theory, Engineering Solutions, Energomash, Moscow, 2000.
J.O. Hinze, Turbulence, McGraw Hill, New York, 1959.
A.P. Merkulov, Vortex Effect and its Application in Engineering, Mashinostroenie, Moscow, 1969.
A.D. Suslov, S.V. Ivanov, A.V. Murashkin, and Yu.V. Chizhikov, Vortex Devices, Mashinostroenie, Moscow, 1985.
A.A. Khalatov, Theory and Practice of Swirled Flows, Naukova Dumka, Kiev, 1989.
A.K. Gupta, D.G. Lilly, and N.Syred, Swirl Flows, Abacus Press, 1984.
V.Kh. Abiants, Theory of Gas Turbines of Jet Engines, Mashinostroenie, Moscow, 1965.
G.S. Zhiritskii, V.I. Lokai, M.K. Maksutova, and V.A. Strunkin, Gas Turbines of Aircraft Engines, Mashinostroenie, Moscow, 1971.
R. Hilsh, The use of the expansion of gases in a centrifugal field as cooling process, Review Scientific Instruments, 1947, Vol. 18, No. 2 P. 108–113.
A.F. Latypov, Solving extreme problems with constraints, Izv. Sib. Otd. Akad. Nauk SSSR, Ser. Tekhn. Nauk, 1974, Iss. 3, No.13, P. 49–50.
N.S. Bakhvalov, N.P. Zhidkov, and G.M. Kobelkov, Numerical Methods, Nauka, Moscow, 1987.
A.I. Gulyaev, On conical vortex tubes, J. Engineering Physics, 1966, Vol. 10, No. 3 P. 326–331.
Yu.V. Chizhikov, Determination of the vortex tube diameter as a function of the degree of gas expansion, Izv. Vuzov SSSR Mashinostroenie, 1972, No. 7, P. 87–90.
Yu.V. Chizhikov, Development of the theory, calculation methods, and industrial applications of the vortex effect, Doctor’s Dissertation in technical sciences, Moscow, 1998.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Latypov, A.F. Experience of the thermodynamic description and optimization of the Ranque effect. Thermophys. Aeromech. 26, 673–682 (2019). https://doi.org/10.1134/S0869864319050056
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0869864319050056