Streamline Topology of Axisymmetric Flow Near Non-Simple Singular Point
Journal Title: Cumhuriyet Science journal - Year 2018, Vol 39, Issue 3
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.
Authors and Affiliations
Ali DELİCEOĞLU, Deniz BOZKURT
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