Bifurcation analysis of flow over a rotatable cylinder with a splitter plate
Abstract
A rotatable cylindersplitter plate body submerged in a uniform flow is treated as a dynamical system. A finitedifference method is employed to solve the twodimensional incompressible unsteady NavierStokes equations on a moving curvilinear coordinate system that is numerically generated and boundaryfitted. Fluidstructure interaction is considered by simultaneously solving the flow field and rotational dynamics of the body. At subcritical Reynolds numbers the splitter plate aligns itself with the line of symmetry, and greater numbers induce a bifurcation in which the splitter plate moves to a stable offaxis position. Calculations also show that higher Reynolds numbers create an unsteady flow and the body undergoes finiteamplitude limitcycle oscillations related to a Hopf bifurcation. The oscillation spectra exhibit subharmonics when the number is increased above a higher critical level. The separation process behind the body is shown to be responsible for the offsetting of the plate.
 Publication:

Space Manufacturing 8  Energy and Materials from Space
 Pub Date:
 June 1991
 Bibcode:
 1991aiaa.conf.....X
 Keywords:

 Branching (Mathematics);
 Circular Cylinders;
 Flat Plates;
 Two Dimensional Flow;
 NavierStokes Equation;
 Splitting;
 Uniform Flow;
 Unsteady Flow;
 Fluid Mechanics and Heat Transfer