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Thermophysics and Aeromechanics

2019 year, number 5

Experience of the thermodynamic description and optimization of the Ranque effect

A.F. Latypov
Khristianovich Institute of Theoretical and Applied Mechanics SB RAS, Novosibirsk, Russia
Keywords: вихревая трубка, энергетическое разделение, политропический коэффициент полезного действия, оптимизация, vortex tube, energy separation, polytropic efficiency, optimization

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.