Geodesic
Interaction of two components of the movement under settling of the heavy particle in a viscous medium
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, Tome 27 (2017) no. 2, pp. 292-296 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

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. 
@article{VUU_2017_27_2_a11,
     author = {L. Kh. Ingel'},
     title = {Interaction of two components of the movement under settling of the heavy particle in a viscous medium},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
     pages = {292--296},
     year = {2017},
     volume = {27},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VUU_2017_27_2_a11/}
}
TY  - JOUR
AU  - L. Kh. Ingel'
TI  - Interaction of two components of the movement under settling of the heavy particle in a viscous medium
JO  - Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki
PY  - 2017
SP  - 292
EP  - 296
VL  - 27
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/VUU_2017_27_2_a11/
LA  - ru
ID  - VUU_2017_27_2_a11
ER  - 
%0 Journal Article
%A L. Kh. Ingel'
%T Interaction of two components of the movement under settling of the heavy particle in a viscous medium
%J Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki
%D 2017
%P 292-296
%V 27
%N 2
%U http://geodesic.mathdoc.fr/item/VUU_2017_27_2_a11/
%G ru
%F VUU_2017_27_2_a11
L. Kh. Ingel'. Interaction of two components of the movement under settling of the heavy particle in a viscous medium. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, Tome 27 (2017) no. 2, pp. 292-296. http://geodesic.mathdoc.fr/item/VUU_2017_27_2_a11/

[1] Voloshchuk V. M., Introduction to the hydrodynamics of coarse aerosols, Gidrometeoizdat, L., 1971, 208 pp.

[2] Matveev L. T., The course of general meteorology. Physics of atmosphere, Gidrometeoizdat, L., 1984, 751 pp.

[3] Khain A. P., Pinsky M. B., “Drop inertia and its contribution to turbulent coalescence in convective clouds. Part I: drop fall in the flow with random horizontal velocity”, Journal of the Atmospheric Sciences, 52:2 (1995), 196–206 | 2.0.CO;2 class='badge bg-secondary rounded-pill ref-badge extid-badge'>DOI

[4] Ingel' L. Kh., “Nonlinear interaction between two components of motion upon precipitation of a heavy particle in a shear flow”, Technical Physics, 57:11 (2012), 1585–1588 | DOI

[5] Ingel' L. Kh., “On the motion of heavy particles in a tornado”, Izvestiya, Atmospheric and Oceanic Physics, 40:6 (2004), 765–768 | MR