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

Ahmed Zeeshan, Nouman Ijaz, Tehseen Abbas and Rahmat Ellahi
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Ahmed Zeeshan: Department of Mathematics and Statistics, FBAS, International Islamic University, Islamabad 44000, Pakistan
Nouman Ijaz: Department of Mathematics and Statistics, FBAS, International Islamic University, Islamabad 44000, Pakistan
Tehseen Abbas: Department of Related Studies, Government College of Technology (TEVTA), Rawalpindi 46000, Pakistan
Rahmat Ellahi: Department of Mathematics and Statistics, FBAS, International Islamic University, Islamabad 44000, Pakistan

Sustainability, 2018, vol. 10, issue 8, 1-17

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 ( λ 1 = 0 ), and volume fraction ( C = 0) as special cases of this problem.

Keywords: bi-phase flow; peristaltic transport; non-Newtonian Jeffrey fluid; magnetohydrodynamics; rectangular duct; eigenfunction expansion method (search for similar items in EconPapers)
JEL-codes: O13 Q Q0 Q2 Q3 Q5 Q56 (search for similar items in EconPapers)
Date: 2018
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (6)

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