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俄罗斯空气动力研究所中心学报

ISSN 打印: 1948-2590
ISSN 在线: 1948-2604

俄罗斯空气动力研究所中心学报

DOI: 10.1615/TsAGISciJ.2016017063
pages 51-63

CALCULATION OF PERIODIC VISCOUS FLOWS INITIATED BY NEAR-WALL BODY FORCE

Sergey Viktorovich Manuilovich
Central Aerohydrodynamic Institute (TsAGI), Zhukovsky St. 1, Zhukovsky 140180, Russia

ABSTRACT

The two-dimensional steady flows of a viscous incompressible fluid in the half-space above a plane caused by a longitudinally-periodic near-wall body force were theoretically studied. The dependencies of the flow parameters on the modulation period, impact area width, and intensity of the force were investigated. A comparison of the results obtained within the framework of the full system of the Navier−Stokes equations and Prandtl boundary layer concept was made. The calculation of the relevant boundary problems was performed by expanding the flow parameters in a Fourier series with respect to the longitudinal variable and the second-order accuracy finite-difference approximation with respect to the vertical variable.


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