A simple model of the mechanism for the generation of air vortices in the atmosphere
https://doi.org/10.18384/2310-7251-2023-2-6-19
Abstract
Aim. We consider the simplest model of point motion in a non-inertial coordinate system, which explains the formation of vortices in the atmosphere.
Procedure and methods. The given model is analytically solved, and the results and average parameters of real cyclones and anticyclones are assessed.
Results. It follows from the obtained solution that the trajectory has the form of a spiral, whose twisting direction depends on the directions of the Coriolis force and the speed of the point, which is associated with the location of the region of the phenomenon formation relative to the Earth hemispheres (northern, clockwise; and southern, counterclockwise). The dependence of the solution on the formulation of boundary and initial conditions is considered. It is shown that in the mathematical formulation of problems of this kind, difficulties arise with the introduction of boundary and initial conditions associated with a singularity at the zero point. The proposed model and dimensional considerations make it possible to estimate the average sizes of cyclones and anticyclones.
Research implications. The theoretical significance lies in the analytical substantiation of the connection between the motion of a point in a non-inertial frame of reference and the occurrence of vortices in the atmosphere.
About the Authors
I. N. Aliev
Bauman Moscow State Technical University
Russian Federation
Russian Federation
Ismail Novruz oglu Aliev – Dr. Sci. (Phys.-Math.), Prof., Department of Physics
ul. Vtoraya Baumanskaya 5, Moscow 105005
R. E. Lyatifov
Bauman Moscow State Technical University
Russian Federation
Russian Federation
Roman Eynulla oglu Lyatifov – Student, Department of Fundamental Sciences
ul. Vtoraya Baumanskaya 5, Moscow 105005
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