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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Details
Primary Language
English
Subjects
-
Journal Section
Research Article
Publication Date
September 30, 2018
Submission Date
June 6, 2018
Acceptance Date
July 24, 2018
Published in Issue
Year 2018 Volume: 39 Number: 3