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First name, Middle name, Last name, Scientific degree, Scientific rank, Current position. Full and brief name of the organization, The organization address.Gumerov A.V. – candidate of technical sciences, senior lecturer Е-mail: This e-mail address is being protected from spambots. You need JavaScript enabled to view it Kazan State University of Architecture and Engineering The organization address: 420043, Russia, Kazan, Zelenaya st., 1
Title of the articleCalculation of the movement of vortex filament around the circular cylinder using the method of discrete vortices
Abstract.The article discussed the motion of the vortex filament of discrete vortices around a stationary circular cylinder in inviscid incompressible fluid by known method is modeled. The intensities of the bound vortices on the contour of the cylinder, except for equality to zero of the normal velocity at the control points, defined as of the condition of equality to zero the circulation along the contour of the cylinder, so of the condition of equality to zero the circulation along the contour covering the cylinder and a free vortex. This article examines the issue of the need to consider or not the central vortex (the use of the theorem of circle) in order to obtain the correct movement of the vortex filament around a cylinder, as some researchers in their calculations introduce central vortex, while others do not. To check the obtained results the additional calculations are carried out with a complex potential flow, which consists of the capacity of the external vortex, inversion vortex and central vortex. Determined the force of the vortex filament on the cylinder by the impulse method and by the formula for the Cauchy-Lagrange. Also marked the underestimation of the speed on the cylinder surface by the method of discrete vortices, which can lead to incorrect calculation of the surface pressure, if not to introduce the additive of an average speed between two neighboring vortices in each checkpoint.
Keywords.the method of discrete vortices, vortex filament, the circular cylinder surface impermeability, the theorem of circle, unsteady flow, complex potential flow.
For citations:Gumerov A.V. Calculation of the movement of vortex filament around the circular cylinder using the method of discrete vortices // Izvestiya KGASU. 2015. №4(34) P.433-439.


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