0587629 - ÚT 2025 RIV DE eng J - Journal Article
Maršík, František - Trávníček, Zdeněk - Weigand, B. - Seibold, F. - Antošová, Zuzana
Swirl flow stability: thermodynamic analysis and experiments.
Continuum Mechanics and Thermodynamics. Roč. 36, č. 4 (2024), s. 891-910. ISSN 0935-1175. E-ISSN 1432-0959
R&D Projects: GA ČR(CZ) GC21-26232J
Institutional support: RVO:61388998
Keywords : thermodynamic stability condition * annular swirl flow * vortex tube
OECD category: Thermodynamics
Impact factor: 1.9, year: 2023 ; AIS: 0.488, rok: 2023
Method of publishing: Open access
Result website:
https://link.springer.com/article/10.1007/s00161-024-01303-6DOI: https://doi.org/10.1007/s00161-024-01303-6

The current paper presents a theoretical analysis of swirl flow stability, both inside a tube (vortex tube) and in a free annular swirl flow. The starting concept is the study of the evolution of velocity and temperature fluctuations. Methods of non-equilibrium thermodynamics are used to describe the magnitude of fluctuations and their properties. The important role of the total enthalpy follows from a variational analysis. Moreover, the thermodynamic criterion of the stability is formulated using the total enthalpy, and compared with experiments, numerical results and classical Rayleigh theory support its applicability. It was shown that the solid body vortex is at the margin of stability, which is experimentally observed. Analogously, the potential vortex is by the thermodynamic criterion stable, however, by the Rayleigh criteria it is on the onset of stability. The classical Taylor experiment of flowbetween two rotating cylinders is analysed from the point of viewof this criterion. These results are underlined by swirl tube experiments at the Institute of Aerospace Thermodynamics at Stuttgart University and the annular nozzle experiments performed in the Institute of Thermomechanics CAS in Prague. Both independent experiments confirm the transformation of the initial annular vortex into a stable potential-type vortex. The results of this theory can also be used to explain the exceptional stability of tropical cyclones.
Permanent Link: https://hdl.handle.net/11104/0355117