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TsAGI Science Journal

ISSN Imprimir: 1948-2590
ISSN On-line: 1948-2604

TsAGI Science Journal

DOI: 10.1615/TsAGISciJ.v41.i4.60
pages 437-449

VORTEX FLOWS OF A MICROPOLAR FLUID

Murad Abramovich Brutyan
Central Aerohydrodynamic Institute (TsAGI), 1 Zhukovsky Str., Zhukovsky 140180, Russia
Vladimir Efimovich Kovalev
Central Aerohydrodynamic Institute (TsAGI) 1, Zhukovsky str., Zhukovsky, 140180, Moscow region, Russia

RESUMO

Solutions describing vortex flows in the scope of equations of the micropolar fluid theory are found. These solutions are similar to well-known exact solutions of Oseen and Burgers for a classical Newtonian fluid. It is shown that the Oseen problem of diffusion of a straight vortex line in a micropolar fluid is not self-similar and has no exact solution. Unlike the Oseen problem, the solution of the Burgers problem of a stationary vortex in a micropolar fluid can be reduced to the solution of an ordinary differential equation system. For both problems, integral invariants are defined and a numerical solution is provided.


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