Published 6 issues per year
ISSN Print: 1948-2590
ISSN Online: 1948-2604
VORTEX FLOWS OF A MICROPOLAR FLUID
ABSTRACT
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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Burmasheva Natal'ya Vladimirovna, Prosviryakov Eugenii Yurevich, Convective layered flows of a vertically whirling viscous incompressible fluid. Temperature field investigation, Вестник Самарского государственного технического университета. Серия «Физико-математические науки», 24, 3, 2020. Crossref