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Sustainability 2018, 10(8), 2671; https://doi.org/10.3390/su10082671

The Sustainable Characteristic of Bio-Bi-Phase Flow of Peristaltic Transport of MHD Jeffrey Fluid in the Human Body

1
Department of Mathematics and Statistics, FBAS, International Islamic University, Islamabad 44000, Pakistan
2
Department of Related Studies, Government College of Technology (TEVTA), Rawalpindi 46000, Pakistan
3
Department of Mechanical Engineering, University of California Riverside, Riverside, CA 92521, USA
*
Author to whom correspondence should be addressed.
Received: 1 July 2018 / Revised: 23 July 2018 / Accepted: 27 July 2018 / Published: 30 July 2018
(This article belongs to the Special Issue Sustainable Biochemical Engineering)
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Abstract

This study deals with the peristaltic transport of non-Newtonian Jeffrey fluid with uniformly distributed identical rigid particles in a rectangular duct. The effects of a magnetohydrodynamics bio-bi-phase flow are taken into account. The governing equations for mass and momentum are simplified using the fact that wavelength is much greater than the amplitude and small Reynolds number. A closed-form solution for velocity is obtained by means of the eigenfunction expansion method whereby pressure rise is numerically calculated. The results are graphically presented to observe the effects of different physical parameters and the suitability of the method. The results for hydrodynamic, Newtonian fluid, and single-phase problems can be respectively obtained by taking the Hartmann number (M = 0), relaxation time (λ1=0), and volume fraction (C = 0) as special cases of this problem. View Full-Text
Keywords: bi-phase flow; peristaltic transport; non-Newtonian Jeffrey fluid; magnetohydrodynamics; rectangular duct; eigenfunction expansion method bi-phase flow; peristaltic transport; non-Newtonian Jeffrey fluid; magnetohydrodynamics; rectangular duct; eigenfunction expansion method
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Zeeshan, A.; Ijaz, N.; Abbas, T.; Ellahi, R. The Sustainable Characteristic of Bio-Bi-Phase Flow of Peristaltic Transport of MHD Jeffrey Fluid in the Human Body. Sustainability 2018, 10, 2671.

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