Numerical simulation of the unsteady flow over an elliptic cylinder at different orientations
Autor: | Hassan M. Badr, S. C. R. Dennis, Serpil Kocabiyik |
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Rok vydání: | 2001 |
Předmět: |
business.industry
Applied Mathematics Mechanical Engineering Computational Mechanics Reynolds number Geometry Mechanics Computational fluid dynamics Vortex shedding Computer Science Applications Physics::Fluid Dynamics symbols.namesake Boundary layer Flow (mathematics) Mechanics of Materials symbols Potential flow around a circular cylinder Cylinder Streamlines streaklines and pathlines business Mathematics |
Zdroj: | International Journal for Numerical Methods in Fluids. 37:905-931 |
ISSN: | 1097-0363 0271-2091 |
Popis: | A numerical method is developed for investigating the two-dimensional unsteady viscous flow over an inclined elliptic cylinder placed in a uniform stream of infinite extent. The direction of the free stream is normal to the cylinder axis and the flow field unsteadiness arises from two effects, the first is due to the flow field development following the start of the motion and the second is due to vortex shedding in the wake region. The time-dependent flow is governed by the full conservation equations of mass and momentum with no boundary layer approximations. The parameters involved are the cylinder axis ratio, Reynolds number and the angle of attack. The investigation covers a Reynolds number range up to 5000. The minor-major axis ratio of the elliptic cylinder ranges between 0.5 and 0.6, and the angle of attack ranges between 0° and 90°. A series truncation method based on Fourier series is used to reduce the governing Navier-Stokes equations to two coupled infinite sets of second-order differential equations. These equations are approximated by retaining only a finite number of terms and are then solved by approximating the derivatives using central differences |
Databáze: | OpenAIRE |
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