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Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2017, Volume 27, Issue 2, Pages 292–296 (Mi vuu588)  

MECHANICS

Interaction of two components of the movement under settling of the heavy particle in a viscous medium

L. Kh. Ingel'ab

a Obukhov Institute of Atmospheric Physics, Russian Academy of Sciences, Pyzhevskii per., 3, Moscow, 119017, Russia
b Research and Production Association "Typhoon", ul. Pobedy, 4, Obninsk, 249038, Russia

Abstract: When a heavy particle moves in a viscous medium, the resistance force depends on the Reynolds number, therefore, on the modulus of the particle velocity vector in relation to medium. This leads to nonlinear interaction of different components of movement. If a particle settling in gravity field has also a horizontal velocity component, these two components of the movement, affecting the Reynolds number, contribute into the coefficient of hydrodynamic resistance and, thereby, affect each other. This can be important, for example, in the surface layer of the atmosphere over water under strong winds, when, due to the mentioned interaction, the stay time of spray in the air depends on a horizontal movement. For the specific resistance law, a nonlinear model of interaction between the two components of movement is studied. Calculations show that although the order of magnitude of the particle settling velocity accounting this interaction does not change, the velocity corrections can be noticeable.

Keywords: sedimentation of heavy particles, viscous medium, resistance, interaction with a horizontal movement, nonlinear analytical model.

DOI: https://doi.org/10.20537/vm170212

Full text: PDF file (182 kB)
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Bibliographic databases:

UDC: 532.582.92, 532.5.013.12, 551.57
MSC: 34A05, 34A34
Received: 27.03.2017

Citation: L. Kh. Ingel', “Interaction of two components of the movement under settling of the heavy particle in a viscous medium”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 27:2 (2017), 292–296

Citation in format AMSBIB
\Bibitem{Ing17}
\by L.~Kh.~Ingel'
\paper Interaction of two components of the movement under settling of the heavy particle in a viscous medium
\jour Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki
\yr 2017
\vol 27
\issue 2
\pages 292--296
\mathnet{http://mi.mathnet.ru/vuu588}
\crossref{https://doi.org/10.20537/vm170212}
\elib{http://elibrary.ru/item.asp?id=29410201}


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  • Вестник Удмуртского университета. Математика. Механика. Компьютерные науки
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