Abstract
A numerical simulation of convective swirling jets arising as a result of the rotation of a heated disk in an initially immovable medium has been carried out. It is shown that in the case where a jet is swirled moderately, the flow is relaminarized and the intensity of the heat and mass transfer in the convective jet decreases, which leads to an increase in the buoyancy force and, consequently, an increase in the velocity of the flow. The air mass in the form of a cylindrical column-shaped vortex rises above the disk to a large height and, in doing so, retains its individuality.
Similar content being viewed by others
References
B. Gebhart, Y. Jaluria, R. L. Mahajan, and S. Sammaki, Buoyancy-Induced Flows and Transport [Russian translation], Mir, Moscow (1991).
S. V. Alekseenko, P. A. Kuibin, and V. L. Okulov, Introduction to the Theory of Concentrated Vortices [in Russian], ITF SO RAN, Novosibirsk (2003).
B. M. Bubnov, Thermal structure and turbulization of tornado-like vortices from localized heat sources above a rotating disk, Izv. Akad. Nauk SSSR, Fiz. Atmos. Okeana, 33, No. 4, 434–442 (1977).
V. V. Nikulin, Investigation of the interaction of a tornado-like vortex with solid boundaries, Prikl. Mekh. Tekh. Fiz., No. 1, 68–75 (1980).
V. V. Nikulin, An analog of the equations of eddy shallow water for hollow and tornado-like vortices. The height of a stationary tornado-like vortex, Prikl. Mekh. Tekh. Fiz., No. 2, 45–51 (1992).
Cz. O. Popiel and L. Boguslawski, Local heat transfer coefficients on the rotation disc in still air, Int. J. Heat Mass Transfer, 18, 167–173 (1975).
A. M. Grishin, A. N. Golovanov, and Ya. V. Sukov, Physical simulation of flame tornadoes, Dokl. Ross. Akad. Nauk, 395, No. 2, 196–198 (1975).
A. M. Grishin and O. V. Matvienko, Mathematical simulation of flame tornadoes, in: Heat-and Mass Transfer-MIF-2004, 5th Minsk Int. Forum, 24–28 May, 2004, Minsk (2004), pp. 174–176.
A. M. Grishin and O. V. Matvienko, Mathematical simulation of the dynamics of formation of a convective column and a flame tornado in forest fires, in: Proc. 13th Symp. on Combustion and Explosion, January 7–11, 2005, Chernogolovka.
A. K. Gupta, D. G. Lilley, and N. Syred, Swirl Flows [Russian translation], Mir, Moscow (1987).
M. A. Leschziner and W. Rodi, Computation of strongly swirling axisymmetric free jets, AIAA J., 22, No. 11, 370–373 (1984).
T. Kobayashi and M. Yoda, Modified k-ε model for turbulent swirling flow in a straight pipe, JSME Int. J., 30, 66–71 (1987).
J. Piquet, Turbulent Flows: Models and Physics, Springer, Berlin (1999).
T. Cebeci and P. Bradshaw, Physical and Computational Aspects of Convective Heat Transfer [Russian translation], Mir, Moscow (1987).
B. P. Leonard, A stable and accurate convection modeling procedure based on quadratic upstream interpolation, Comput. Meth. Appl. Mech. Eng., 19, 59–98 (1979).
J. P. Van Doormal and G. D. Raithby, Enhancements of the SIMPLE method for predicting incompressible fluid flows, Numer. Heat Transfer, 7, 147–163 (1984).
A. A. Khalatov, Theory and Practice of Swirling Flows [in Russian], Naukova Dumka, Kiev (1989).
Author information
Authors and Affiliations
Corresponding author
Additional information
__________
Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 81, No. 5, pp. 860–867, September–October, 2008.
Rights and permissions
About this article
Cite this article
Grishin, A.M., Matvienko, O.V. & Rudi, Y.A. Mathematical simulation of the formation of heat tornadoes. J Eng Phys Thermophy 81, 897–904 (2008). https://doi.org/10.1007/s10891-009-0125-9
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10891-009-0125-9