Streamline Topology of Axisymmetric Flow Near Non-Simple Singular Point
Abstract
The
aim of this paper is to obtain streamline patterns of axisymmetric flow and
their bifurcations for 2-D incompressible flows close to non-simple singular
point. The streamlines of a Hamiltonian vector field system are simplified by
using the homotopy invariance of the index theory. Using a homotopy invariance
of the index, we develop a theory for the sufficient and necessary conditions
for structural bifurcation of axisymmetric flow near non-simple degenerate
critical points. The variation of parameters in the flow field can cause
structural bifurcations. The bifurcation of the degenerate flow structure is
obtained when it is perturbed slightly.
Keywords
References
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