Scalar description of three-dimensional vortex flows of incompressible fluid
Article
Article Title | Scalar description of three-dimensional vortex flows of incompressible fluid |
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ERA Journal ID | 967 |
Article Category | Article |
Authors | Stepanyants, Yu. A. (Author) and Yakubovich, Evsey (Author) |
Journal Title | Doklady Physics |
Journal Citation | 56 (2), pp. 130-133 |
Number of Pages | 4 |
Year | 2011 |
Place of Publication | Moscow, Russian Federation |
ISSN | 1028-3358 |
1562-6903 | |
Digital Object Identifier (DOI) | https://doi.org/10.1134/S1028335811020169 |
Abstract | An essential progress in the investigation of flows of incompressible fluid may be achieved with the help of stream-function. Flow description by means of one scalar stream-function is much simpler than the description based on the three-dimensional vector field. Many interesting and physically important problems were solved by this way. However, the traditional usage of a stream-function is restricted by the assumption of certain symmetry of the flow: the method is applicable only to two-component flows, i.e. when the corresponding velocity field is effectively two-dimensional, e.g., plane flow. This restriction essentially limits the range of applicability of such approach. |
Keywords | vortex flow; incompressible fluid; Bernoulli's integral |
ANZSRC Field of Research 2020 | 401207. Fundamental and theoretical fluid dynamics |
490201. Algebraic structures in mathematical physics | |
490109. Theoretical and applied mechanics | |
Public Notes | Permanent restricted access to published evrsion due to publisher copyright policy. The Journal 'Doklady Physics' is English translation of the Russian journal 'Doklady Akademii Nauk'. |
Byline Affiliations | Department of Mathematics and Computing |
Russian Academy of Sciences, Russia | |
Institution of Origin | University of Southern Queensland |
https://research.usq.edu.au/item/q08xy/scalar-description-of-three-dimensional-vortex-flows-of-incompressible-fluid
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