DOI 10.51955/2312-1327_2024_4_67

Nikolay V. Danilenko

Anton G. Kirenchev

Abstract. The article describes vortex formation in the atmospheric medium and analyzes the research on this topic. The main contradictions and problems in the study of vortex formation are revealed. The working process of transforming the initial potential flow of working body of the medium under study into vortex flow with the description of the main factors influencing this process is considered. The contradictions in the process of vortex tube formation are revealed, for which a new object of research was chosen – specific linear density of vortex circulation of gas (liquid) natural and anthropogenic media. The state and problems of the specific linear density of vortex circulation of the investigated vortex formation are assessed. The definition of specific linear density of circulation on the basis of its working process is presented. The correlation between the linear circulation density and the tangential velocity of the medium on the outer surface of the vortex tube is established. The definition of the theorem on the linear circulation density of a vortex tube is given. The proof of the theorem and the mathematical relationship of the linear density of medium vortex tube circulation and the tangential velocity on its outer surface are given. Corollaries of the theorem and their applications are presented.

Keywords: vortex formation, generation factors, working process, definition, theorem, classification, linear density of circulation, vortex tube, aircraft engine air intake vortices, tornadoes.

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