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

Author

Listed:
  • 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
    Department of Mechanical Engineering, University of California Riverside, Riverside, CA 92521, USA)

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.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jsusta:v:10:y:2018:i:8:p:2671-:d:160825
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    References listed on IDEAS

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    1. Hsiao, Kai-Long, 2017. "To promote radiation electrical MHD activation energy thermal extrusion manufacturing system efficiency by using Carreau-Nanofluid with parameters control method," Energy, Elsevier, vol. 130(C), pages 486-499.
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    Cited by:

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    2. Rashid, M. & Ansar, K. & Nadeem, S., 2020. "Effects of induced magnetic field for peristaltic flow of Williamson fluid in a curved channel," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 553(C).
    3. Li, Zhixiong & Hedayat, Mohammadali & Sheikholeslami, M. & Shafee, Ahmad & Zrelli, Houyem & Tlili, I. & Nguyen, Truong Khang, 2019. "Numerical simulation for entropy generation and hydrothermal performance of nanomaterial inside a porous cavity using Fe3O4 nanoparticles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 524(C), pages 272-288.
    4. Mehmood, Obaid Ullah & Qureshi, Ayesha Aleem & Yasmin, Humaira & Uddin, Salah, 2020. "Thermo-mechanical analysis of non Newtonian peristaltic mechanism: Modified heat flux model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 550(C).
    5. Sharma, A. & Tripathi, D. & Sharma, R.K. & Tiwari, A.K., 2019. "Analysis of double diffusive convection in electroosmosis regulated peristaltic transport of nanofluids," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).
    6. 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).

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