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Russia Moscow; Obninsk
Section Mechanics
Title Interaction of two components of the movement under settling of the heavy particle in a viscous medium
Author(-s) Ingel' L.Kh.ab
Affiliations Institute of Atmospheric Physics, Russian Academy of Sciencesa, Research and Production Association “Typhoon”b
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
UDC 532.582.92, 532.5.013.12, 551.57
MSC 34A05, 34A34
DOI 10.20537/vm170212
Received 27 March 2017
Language Russian
Citation Ingel' L.Kh. Interaction of two components of the movement under settling of the heavy particle in a viscous medium, Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2017, vol. 27, issue 2, pp. 292-296.
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