Ermakov, Andrei and Stepanyants, Yury (2021) Description of Nonlinear Vortical Flows of Incompressible Fluid in Terms of a Quasi-Potential. Physics. pp. 799-813. ISSN 2624-8174

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Abstract

As it was shown earlier, a wide class of nonlinear 3-dimensional (3D) fluid flows of incompressible viscous fluid can be described by only one scalar function dubbed the quasi-potential. This class of fluid flows is characterized by a three-component velocity field having a two-component vorticity field. Both these fields may, in general, depend on all three spatial variables and time. In this paper, the governing equations for the quasi-potential are derived and simple illustrative examples of 3D flows in the Cartesian coordinates are presented. The generalisation of the developed approach to the fluid flows in the cylindrical and spherical coordinate frames represents a nontrivial problem that has not been solved yet. In this paper, this gap is filled and the concept of a quasi-potential to the cylindrical and spherical coordinate frames is further developed. A few illustrative examples are presented which can be of interest for practical applications.

Item Type:	Article
Keywords:	ncompressible fluid; vortical flow; vector-potential; vorticity;
Academic Unit:	Faculty of Science and Engineering > Electronic Engineering Faculty of Science and Engineering > Research Institutes > Centre for Ocean Energy Research
Item ID:	16657
Identification Number:	https://doi.org/10.3390/physics3040050
Depositing User:	Dr Andrei Ermakov
Date Deposited:	07 Nov 2022 10:26
Journal or Publication Title:	Physics
Publisher:	MDPI
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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