Hopf bifurcation of a non-parallel Navier-Stokes flow
- Resource Type
- Working Paper
- Authors
- Chen, Zhi-Min
- Source
- Subject
- Mathematical Physics
Physics - Fluid Dynamics
- Language
A plane non-parallel flow in a square fluid domain exhibits an odd number of vortices. A spectral structure is found to have a non-real solution of the spectral problem linearized around the flow. With the use of this structure, Hopf bifurcation or secondary time periodic flows branching of a basic square eddy flow is found. In contrast to a square eddy flow involving an even number of vortices in earlier analytical and experimental investigations, instability of the flow leads to steady-state bifurcations.