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

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

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.

Suggested Citation

  • Shahzadi, Iqra & Ahsan, Naveed & Nadeem, S. & Issakhov, Alibek, 2020. "Analysis of bifurcation dynamics of streamlines topologies for pseudoplastic shear thinning fluid: Biomechanics application," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).
    • Handle: RePEc:eee:phsmap:v:540:y:2020:i:c:s0378437119314347
    DOI: 10.1016/j.physa.2019.122502
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    References listed on IDEAS

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    1. Hess, Ortwin & Hess, Siegfried, 1994. "Nonlinear fluid behavior: from shear thinning to shear thickening," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 207(4), pages 517-540.
    2. Ranjit, N.K. & Shit, G.C., 2017. "Joule heating effects on electromagnetohydrodynamic flow through a peristaltically induced micro-channel with different zeta potential and wall slip," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 482(C), pages 458-476.
    3. Ahmed Zeeshan & Nouman Ijaz & Tehseen Abbas & Rahmat Ellahi, 2018. "The Sustainable Characteristic of Bio-Bi-Phase Flow of Peristaltic Transport of MHD Jeffrey Fluid in the Human Body," Sustainability, MDPI, vol. 10(8), pages 1-17, July.
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