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

Iqra Shahzadi, Naveed Ahsan, S. Nadeem and Alibek Issakhov

Physica A: Statistical Mechanics and its Applications, 2020, vol. 540, issue C

Abstract: 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.

Keywords: Peristaltic transportation; Shear thinning fluid; Streamline topologies; Bifurcation; Non linear dynamics (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:540:y:2020:i:c:s0378437119314347

DOI: 10.1016/j.physa.2019.122502

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