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Blood flow of Jeffrey fluid in a catherized tapered artery with the suspension of nanoparticles
Authors:R. Ellahi  S.U. Rahman  S. Nadeem
Affiliation:1. Department of Mechanical Engineering, University of California Riverside, USA;2. Department of Mathematics & Statistics, FBAS, IIU, Islamabad, Pakistan;3. Department of Mathematics, Quaid-i-Azam University Islamabad, Pakistan
Abstract:
Current letter deals with the mathematical models of Jeffrey fluid via nanoparticles in the tapered stenosed atherosclerotic arteries. The convection effects of heat transfer with catheter are also taken into account. The nonlinear coupled equations of nanofluid model are simplified under mild stenosis. The solutions for concentration and temperature are found by using homotopy perturbation method, whereas for velocity profile the exact solution is calculated. Moreover, the expressions for flow impedance and pressure rise are computed and discussed through graphs for different physical quantities of interest. The streamlines have also been presented to discuss the trapping bolus discipline.
Keywords:Jeffrey fluid   Blood flow   Nanoparticles   Catherized artery   Nonlinear partial differential equations   Analytical solutions   HPM
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