Ermakov, Andrei and Stepanyants, Y. A. (2016) Description of vortical flows of incompressible fluid in terms of quasi-potential function. Proceedings of the 20th Australasian Fluid Mechanics Conference. ISSN 978-1-74052-377-6

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Abstract

It has been shown [1, 2] that a wide class of 3D motions of in- compressible viscous fluid in Cartesian coordinates can be de- scribed by only one scalar function dubbed the quasi-potential. This class of fluid flows is characterized by three-component velocity field having two-component vorticity field; both these fields can depend of all three spatial variables and time, in gen- eral. Governing equations for the quasi-potential have been de- rived and simple illustrative examples of 3D flows have been presented. In this paper the concept of quasi-potential is fur- ther developed for fluid flows in cylindrical coordinates. It is shown that the introduction of a quasi-potential in curvilinear coordinates is non-trivial and may be a subject of additional restrictions. In the cases when it is possible, we construct il- lustrative examples which can be of interest for some practical applications.

Item Type:	Article
Keywords:	Description; vortical flows; incompressible fluid; terms of quasi-potential function;
Academic Unit:	Faculty of Science and Engineering > Electronic Engineering
Item ID:	16625
Depositing User:	Dr Andrei Ermakov
Date Deposited:	18 Oct 2022 14:28
Journal or Publication Title:	Proceedings of the 20th Australasian Fluid Mechanics Conference
Publisher:	Australasian Fluid Mechanics Society
Refereed:	Yes
URI:	Publisher
Use Licence:	This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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