Analysis of bifurcation dynamics of streamlines topologies for pseudoplastic shear thinning fluid: Biomechanics application

摘要

This analysis comprises the innovative technique to analyze the bifurcation of streamlines by considering the model of shear thinning fluid inside the channel as well as through tube of axisymmetric tube. The set of the equations governing the flow model are transformed into differential equations by approximations prior to pursuing the analytical solutions for particle paths. The methodology of dynamical systems is used to inspect the local bifurcation and change observed in their topologies. When sundry parameters take definite degenerate values the phenomenon of bifurcation occurs. Three distinct flow situations like augmented, trapping and backward appear due to transition. The global bifurcation plots summarized all these bifurcation. The topological changes in plots of bifurcation are inspected via graphs. (C) 2019 Elsevier B.V. All rights reserved.