| Defence date |
2010-12-01 |
|
Mécanique des fluides et énergétique |
| Library |
ENSTA ParisTech |
| Keywords |
cylindre circulaire oscillant – nombre de Keulegan-Carpenter – équations de Navier-Stokes – éléments finis – forces de traînée et de portance – dynamique de la vorticité |
| English title |
Study of the interaction between a fluid and an oscillating structure: forces and flow regimes, from an isolated cylinder to a bundle of cylinders |
| English abstract |
This thesis presents a 2D numerical and physical study of the dynamics of a viscous incompressible fluid initially at rest, put in motion by forced transverse rectilinear oscillations of a cylinder. That system is described by two dimensionless numbers. The Reynolds number (Re) measures the ratio of the inertial forces to the viscous forces, and the Keulegan-Carpenter number (KC) compares the amplitude of the cylinder oscillations to its diameter. The objective is to determine the influence of those two parameters on the drag and transverse forces exerted by the fluid on the structure, in relation with flow dynamics. The Navier-Stokes equations are numerically solved with a finite element method. Firstly various modes are identified from computanional results regarding the flow and forces responses over an oscillation cycle. Flow symmetry properties and vortex patterns are correlated to the time-series of the forces. Besides simulations on long durations compared to the cylinder oscillation period reveal stability domains of the modes in the plane (KC, Re). For some regimes, forces exhibit amplitude fluctuations. They are interpreted notably from forces spectra and flow instabilities. Finally the transition from the problem of one cylinder to the case of a square bundle of 25 cylinders is studied. An energetic approach is proposed to characterize the influence of KC and Re on the global system's behavior, for the isolated cylinder and for the bundle. |
| English keyword |
oscillating circular cylinder – Keulegan-Carpenter number – Navier-Stokes equations – finite element method – in-line and transverse forces – vortex dynamics |