Abstract
The available results of laboratory experiments on the formation of free vortices and controlling of their behavior are compared with the results of mathematical simulation of corresponding flows. This is accomplished by constructing solutions for a set of gas dynamics equations. The comparison is performed for a specific scheme of origination and functioning of free ascending twisting flows. In particular, it is shown that the experimental results confirm the proposed scheme of the origination and initial twisting of ascending vortex flows and validate the reason of their stable functioning with the help of the method intended for controlling generated vortices using vertical grids which was implemented in the experiments. The fact of origination of an ascending flow twisting and its directing is mathematically substantiated using the solution to a specific initially edge problem for a set of gas dynamics equations. A stationary flow whose parameters are close to gas-dynamic parameters of free vortices reproduced in the experiments is calculated.
Similar content being viewed by others
References
Nalivkin, D.V., Hurricanes, Storms, and Tornadoes: Geographical Characteristics and Geological Activity, New York: Taylor and Francis, 1983.
Nalivkin, D.V., Smerchi (Tornadoes), Moscow: Nauka, 1984.
Varaksin, A.Yu., Romash, M.E., and Kopeitsev, V.N., Tornado (Tornado), Moscow: Fizmatlit, 2011.
Bautin, S.P., Tornado i sila Koriolisa (Tornado and Coriolis Force), Novosibirsk: Nauka, 2008.
Loitsyanskii, L.G. and Lur’e, A.I., Kurs teoreticheskoi mekhaniki (A Course of Theoretical Mechanics), Moscow: Nauka, 1983, vol. 2.
Varaksin, A.Yu., Romash, M.E., Kopeitsev, V.N., and Taekin, S.I., High Temp., 2008, vol. 46, no. 6, p. 888.
Varaksin, A.Yu., Romash, M.E., Taekin, S.I., and Kopeitsev, V.N., High Temp., 2009, vol. 47, no. 1, p. 78.
Varaksin, A.Yu., Romash, M.E., and Kopeitsev, V.N., High Temp., 2009, vol. 47, no. 6, p. 836.
Varaksin, A.Yu., Romash, M.E., Kopeitsev, V.N., and Taekin, S.I., High Temp., 2010, vol. 48, no. 2, p. 251.
Varaksin, A.Yu., Romash, M.E., and Kopeitsev, V.N., High Temp., 2010, vol. 48, no. 3, p. 411.
Varaksin, A.Yu., Romash, M.E., and Kopeitsev, V.N., High Temp., 2010, vol. 48, no. 4, p. 588.
Varaksin, A.Yu., Romash, M.E., Kopeitsev, V.N., and Gorbachev, M.A., High Temp., 2010, vol. 48, no. 6, p. 918.
Varaksin, A.Yu., Romash, M.E., Kopeitsev, V.N., and Gorbachev, M.A., High Temp., 2011, vol. 49, no. 2, p. 310.
Varaksin, A.Yu., Romash, M.E., Kopeitsev, V.N., and Gorbachev, M.A., High Temp., 2012, vol. 50, no. 4, p. 496.
Bautin, S.P., Bautin, P.S., and Bautina, A.S., RF Patent no. 2407281, Byull. Izobret., no. 36 (2010).
Bautin, S.P. and Obukhov, A.G., Matematicheskoe modelirovanie razrushitel’nykh atmosfernykh vikhrei (Mathematical Simulation of Destructive Atmospheric Vortexes), Novosibirsk: Nauka, 2012.
Bautin, S.P. and Krutova, I.Yu., High Temp., 2012, vol. 50, no. 3, p. 444.
Author information
Authors and Affiliations
Additional information
Original Russian Text © S.P. Bautin, A.G. Obukhov, 2013, published in Teplofizika Vysokikh Temperatur, 2013, Vol. 51, No. 4, pp. 567–570.
Rights and permissions
About this article
Cite this article
Bautin, S.P., Obukhov, A.G. Mathematical simulation of the near-bottom section of an ascending twisting flow. High Temp 51, 509–512 (2013). https://doi.org/10.1134/S0018151X1302003X
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0018151X1302003X