Description of vortical flows of incompressible fluid in terms of quasi-potential function

Ermakov, A. M. and Stepanyants, Y. A. (2016) Description of vortical flows of incompressible fluid in terms of quasi-potential function. In: 20th Australasian Fluid Mechanics Conference (AFMC 2016), 5-8 Dec 2016, Perth, Australia.

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Abstract

It has been shown that a wide class of 3D motions of incompressible viscous fluid in Cartesian coordinates can be described by only one scalar function dubbed the quasi-potential. This class of fluid flows is haracterized by three-component velocity field having two-component vorticity field; both these fields can depend of all three spatial variables and time, in general. Governing equations for the quasi-potential have been derived and simple illustrative examples of 3D flows have been presented. In this paper the concept of quasi-potential is further 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 illustrative examples which can be of interest for some practical applications.


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Item Type: Conference or Workshop Item (Commonwealth Reporting Category E) (Paper)
Refereed: Yes
Item Status: Live Archive
Additional Information: © 2016 Australasian Fluids Mechanics Society (AFMS). Paper #499.
Faculty / Department / School: Current - Faculty of Health, Engineering and Sciences - School of Agricultural, Computational and Environmental Sciences
Date Deposited: 27 Oct 2016 01:52
Last Modified: 30 May 2017 00:56
Uncontrolled Keywords: vortical flows, fluid mechanics, navier stokes
Fields of Research : 01 Mathematical Sciences > 0101 Pure Mathematics > 010109 Ordinary Differential Equations, Difference Equations and Dynamical Systems
09 Engineering > 0915 Interdisciplinary Engineering > 091504 Fluidisation and Fluid Mechanics
URI: http://eprints.usq.edu.au/id/eprint/29889

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