Teplofizika vysokikh temperatur
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Teplofizika vysokikh temperatur, 2017, Volume 55, Issue 5, Pages 762–768
DOI: https://doi.org/10.7868/S0040364417050222 (Mi tvt8747) 		 
Heat and Mass Transfer and Physical Gasdynamics

The stability of swirling flows with a heat source

I. P. Zavershinskiia, A. I. Klimovb, S. E. Kurushinaa, V. V. Maximova, N. E. Molevichca, S. S. Sugaka

a S. P. Korolyov Samara State Aerospace University
b Joint Institute for High Temperatures, Russian Academy of Sciences, Moscow
c P. N. Lebedev Physical Institute, Russian Academy of Sciences, Moscow
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DOI: https://doi.org/10.7868/S0040364417050222
Abstract: The absolute instability of a Rankine vortex with an axial flow and paraxial heat source is investigated. The dispersion relation for vortex modes is derived analytically. The dependence of dispersion properties of the media on control parameters such as swirl parameter $S$, velocity $a$, and heat source power (density parameter $Q$) is studied. The frequency of helical waves increases and the increment decreases with increasing heat source power, accompanied by a decrease in the width of the neutral stability region. Numerical analysis also suggests that one of the dispersion curve branches could include an instability region of a parametric nature.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 102
3.1158
Russian Foundation for Basic Research 16-41-630591
The work was supported by the RF Ministry of Education and Science under the Program for Improving Competiveness of SGAU in 2013–2020, the state assignment to higher educational institutes and scientific organizations engaged in research activities (project nos. 102 and 3.1158), and by the Russian Foundation for Basic Research (Grant no. 16-41-630591).
Received: 20.06.2015
Accepted: 08.11.2016
English version:
High Temperature, 2017, Volume 55, Issue 5, Pages 746–752
DOI: https://doi.org/10.1134/S0018151X17050212
Bibliographic databases:
Document Type: Article
UDC: 532.527:536.42
Language: Russian
Citation: I. P. Zavershinskii, A. I. Klimov, S. E. Kurushina, V. V. Maximov, N. E. Molevich, S. S. Sugak, “The stability of swirling flows with a heat source”, TVT, 55:5 (2017), 762–768; High Temperature, 55:5 (2017), 746–752
Citation in format AMSBIB
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\pages 762--768
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