Asymmetric self-similar flows of a viscous incompressible fluid along a right-angle corner
A.V. Boiko1,2 and Yu.M. Nechepurenko1,3,4
1Khristianovich Institute of Theoretical and Applied Mechanics SB RAS, Novosibirsk, Russia
2Tyumen State University, Tyumen, Russia
3Marchuk Institute of Numerical Mathematics RAS, Moscow, Russia
4Keldysh Institute of Applied Mathematics RAS, Moscow, Russia
E-mail: boiko@itam.nsc.ru
Keywords: boundary layer, corner flow, self-similar equations, asymptotic boundary conditions, nonlinear equations
Pages: 199–210
Abstract
Symmetric and asymmetric self-similar flows of a viscous incompressible fluid along a semi-infinite right-angle dihedral corner with a preset streamwise pressure gradient have been considered. Equations describing such flows in the framework of boundary layer approximation have been derived. The asymptotic behavior of solutions of the derived equations far from the corner edge has been theoretically investigated. A new method of computation of these solutions has been developed. Solutions for two types of asymptotic behavior have been obtained.
DOI: 10.1134/S0869864318020051
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