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On the Dynamics of Inertial Particles in an Intensive Atmospheric Vortex

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Abstract

The movement of inertial particles in intense vortices with a vertical axis in a gravity field is analyzed analytically. In this problem, the nonlinear nature of the hydrodynamic resistance is essential: its dependence on the modulus of the particle velocity relative to the medium. The different components of the movement interact with each other, since each of them affects the coefficient of resistance. An effective method for an approximate analytical solution of the problem has been found. A number of general laws of particle dynamics have been established. A comparison of the results with some numerical calculations available in the literature confirms the adequacy of the model for Reynolds numbers up to about 103. In some respects, satisfactory agreement can be stated for more massive particles as well. The distance of transport of heavy particles outside the region of intense winds has been estimated. An adequate description of the motion of particles can be important for correctly interpreting the results of radar sounding of tornadoes, for assessing the associated hazards, and, possibly, for modeling the dynamics of the tornadoes themselves.

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Notes

  1. Instead of particle diameter \(2R\) in the expression for the Reynolds number, you can, of course, use the radius. Therefore, for example, in some publications, the values of the Reynolds numbers, other things being equal, differ by a factor of two.

REFERENCES

  1. D. C. Dowell, C. R. Alexander, J. M. Wurman, and L. J. Wicker, “Centrifuging of hydrometeors and debris in tornadoes: Radar-reflectivity patterns and wind-measurement errors,” Mon. Weather Rev. 133 (6), 1501–1524 (2005).

    Article  Google Scholar 

  2. D. C. Lewellen, B. Gong, and W. S. Lewellen, “Effects of fine scale debris on near surface tornado dynamics,” J. Atmos. Sci. 65, 3247–3262 (2008).

    Article  Google Scholar 

  3. D. J. Bodine, T. Maruyama, R. D. Palmer, C. J. Fulton, H. B. Bluestein, and D. C. Lewellen, “Sensitivity of tornado dynamics to debris loading,” J. Atmos. Sci. 73 (7), 2783–2801 (2016).

    Article  Google Scholar 

  4. R. Stenz, The impacts of hydrometeor centrifuging on tornado dynamics. https://www.youtube.com/watch?v= 44rtkbfAx0Y. Accessed November 17, 2020.

  5. C. J. Baker and M. Sterling, “Modelling wind fields and debris flight in tornadoes,” J. Wind Eng. Ind. Aerodyn. 168, 312–321 (2017).

    Article  Google Scholar 

  6. C. J. Baker and M. Sterling, “A conceptual model for wind and debris impact loading of structures due to tornadoes,” J. Wind Eng. Ind. Aerodyn. 175, 283–291 (2018).

    Article  Google Scholar 

  7. J. T. Snow, “On the formation of particle sheaths in columnar vortices,” J. Atmos. Sci. 41, 2477–2491 (1984).

    Article  Google Scholar 

  8. Y. Z. Zhao, Z. L. Gu, Y. Z. Yu, Y. Ge, Y. Li, and X. Feng, “Mechanism and large eddy simulation of dust devils,” Atmos.–Ocean 42 (1), 61–84 (2004).

    Article  Google Scholar 

  9. P. C. Kangieser, “A physical explanation of the hollow structure of waterspout tubes,” Mon. Weather Rev. 82 (6), 147–152 (1954).

    Article  Google Scholar 

  10. L. A. Ostrovskii, “Dynamics of the concentrations of heavy and light particle in vortex flows,” Izv. Akad. Nauk SSSR, Fiz. Atmos. Okeana 26 (12), 1307–1314 (1990).

    Google Scholar 

  11. A. S. Pleshanov, Theory of Hydrodynamic Stability of Whirlwinds (Tornadoes) (Informenergo, Moscow, 1993) [in Russian].

    Google Scholar 

  12. N. A. Lebedeva and A. N. Osiptsov, “Structure of inertial-admixture accumulation zones in a tornado-like flow,” Fluid Dyn. 44 (1), 68–79 (2009).

    Article  Google Scholar 

  13. L. Kh. Ingel, “On the nonlinear dynamics of massive particles in tornadoes,” Tech. Phys. 65 (6), 860–864 (2020).

    Article  Google Scholar 

  14. H. B. Bluestein, Severe Convective Storms and Tornadoes. Observations and Dynamics (Springer, Heidelberg, 2013).

    Book  Google Scholar 

  15. D. J. Bodine and J. M. Kurdzo, “Ground-based radar technologies for tornado observations,” in Remote Sensing of Clouds and Precipitation, Ed. by C. Andronache (Springer, 2018), pp. 65–112.

    Google Scholar 

  16. T. P. Marshall, “Tornado damage survey at Moore, Oklahoma,” Weather Forecast. 17, 582–598 (2002).

    Article  Google Scholar 

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Authors and Affiliations

  1. Research and Production Association Typhoon, 249038, Obninsk, Russia

    L. Kh. Ingel

  2. Obukhov Institute of Atmospheric Physics, Russian Academy of Sciences, 119017, Moscow, Russia

    L. Kh. Ingel

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  1. L. Kh. Ingel
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Correspondence to L. Kh. Ingel.

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Ingel, L.K. On the Dynamics of Inertial Particles in an Intensive Atmospheric Vortex. Izv. Atmos. Ocean. Phys. 57, 551–558 (2021). https://doi.org/10.1134/S0001433821060062

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  • DOI: https://doi.org/10.1134/S0001433821060062

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