TY - JOUR
T1 - Topology of vortex Breakdown bubbles in a cylinder with rotating bottom and Free surface
AU - Brøns, Morten
AU - Voigt, Lars Peter Kølgaard
AU - Sørensen, Jens Nørkær
PY - 2001
Y1 - 2001
N2 - The flow patterns in the steady, viscous flow in a cylinder with a rotating bottom and a free surface are investigated by a combination of topological and numerical methods. Assuming the flow is axisymmetric, we derive a list of possible bifurcations of streamline structures on varying two parameters, the Reynolds number and the aspect ratio of the cylinder. Using this theory we systematically perform numerical simulations to obtain the bifurcation diagram. The stability limit for steady flow is found and established as a Hopf bifurcation. We compare with the experiments by Spohn, Mory & Hopfinger (1993) and find both similarities and differences.
AB - The flow patterns in the steady, viscous flow in a cylinder with a rotating bottom and a free surface are investigated by a combination of topological and numerical methods. Assuming the flow is axisymmetric, we derive a list of possible bifurcations of streamline structures on varying two parameters, the Reynolds number and the aspect ratio of the cylinder. Using this theory we systematically perform numerical simulations to obtain the bifurcation diagram. The stability limit for steady flow is found and established as a Hopf bifurcation. We compare with the experiments by Spohn, Mory & Hopfinger (1993) and find both similarities and differences.
M3 - Journal article
SN - 0022-1120
VL - 428
SP - 133
EP - 148
JO - Journal of Fluid Mechanics
JF - Journal of Fluid Mechanics
ER -