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Calculation of gas flow rates in concentrated fire vortices

https://doi.org/10.31660/0445-0108-2019-5-108-114

Abstract

The article presents the results of numerical simulation of the generation of free fire vortices in the laboratory without the use of special twisting devices. A. Yu. Varaksin, the corresponding member of the Russian Academy of Sciences, in his experimental studies has described the principal possibility of physical modeling of the occurrence of concentrated fire vortices.  In the model of a compressible continuous medium for the complete system of Navier — Stokes equations, an initial-boundary value problem has been proposed that describes complex three-dimensional unsteady flows of a viscous compressible heat-conducting gas in ascending swirling heat flows. We has constructed approximate solutions of the complete Navier — Stokes system of equations and has determined velocity characteristics of threedimensional unsteady gas flows initiated by local heating of the underlying surface by nineteen heat sources, using explicit difference schemes and the proposed initial-boundary conditions.  

About the Authors

A. G. Obukhov
Industrial University of Tyumen
Russian Federation

Alexander G. Obukhov, Doctor of Physics and Mathematics, Professor at the Department of Business Informatics and Mathematics

Tyumen



L. I. Maksimov
Industrial University of Tyumen
Russian Federation

Lev I. Maksimov, Junior Researcher at the Center for Advanced Research and Innovation

Tyumen



References

1. Varaksin, A. Yu., Romash, M. E., & Kopeytsev, V. N. (2014). O vozmozhnoy generatsii ognennykh vikhrey bez ispol'zovaniya prinuditel'noy zakrutki. Doklady Akademii nauk, 456(2), pp. 159-161. (In Russian). DOI: 10.7868/S0869565214140102

2. Bautin, S. P. (1987). Predstavlenie resheniy sistemy uravneniy Nav'e Stoksa v okrestnosti kontaktnoy kharakteristiki. Journal of Applied Mathematics and Mechanics, 51(4), pp. 574-584. (In Russian).

3. Bautin, S. P., Obukhov, A. G. (2012). Matematicheskoe modelirovanie razrushitel'nykh atmosfernykh vikhrey. Novosibirsk, Nauka Publ., 152 p. (In Russian).

4. Bautin, S. P., Krutova, I. Yu., Obukhov, A. G., & Bautin, K. V. (2013). Razrushitel'nye atmosfernye vikhri: teoremy, raschety, eksperimenty. Novosibirsk, Nauka Publ., Ekaterinburg, UrGUPS Publ., 215 p. (In Russian).

5. Bautin, S. P., Deryabin, S. L., Krutova, I. Yu., & Obukhov, A. G. (2017). Razrushitel'nye atmosfernye vikhri i vrashchenie Zemli vokrug svoey osi. Ekaterinburg, UrGUPS Publ., 336 p. (In Russian).

6. Bautin, S. P., Obukhov, A. G. (2013). A single exact stationary solution of the gas dynamics equations system. Oil and Gas Studies, (4), 81-86. (In Russian).

7. Bautin, S. P., Obukhov, A. G. (2013). About one type of boundary conditions at calculation of 3D unsteady-state-flow of compressible viscous heat-conducting gas. Oil and Gas Studies, (5), pp. 55-64. (In Russian).


Review

For citations:


Obukhov A.G., Maksimov L.I. Calculation of gas flow rates in concentrated fire vortices. Oil and Gas Studies. 2019;(5):108-114. (In Russ.) https://doi.org/10.31660/0445-0108-2019-5-108-114

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ISSN 0445-0108 (Print)