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Pulsatile flow and heat transfer of blood in an overlapping vibrating atherosclerotic artery: A numerical study

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  • Shit, G.C.
  • Maiti, S.
  • Roy, M.
  • Misra, J.C.

Abstract

The paper is devoted to a numerical investigation of the pulsatile flow of blood through a porous overlapping constricted artery under the influence of an externally imposed magnetic field and vibration environment that is originated from the body force. Blood is considered as micropolar fluid. The heat transfer phenomenon arising out of viscous dissipation is also studied. The problem is solved numerically by developing a Crank–Nicolson finite difference scheme after transforming the original governing equations from the physical domain to a rectangular computational domain. The computational results for the velocity and temperature distributions, fluid acceleration, skin friction and Nusselt number are presented graphically for different values of the physical parameters. The study shows that the Nusselt number increases with rise in Prandtl number and Brinkman number both and that owing to the dissipation of energy caused by blood viscoelasticity and magnetic field effect, during pulsatile flow of blood, the heat transfer rate at the wall of the artery is enhanced.

Suggested Citation

  • Shit, G.C. & Maiti, S. & Roy, M. & Misra, J.C., 2019. "Pulsatile flow and heat transfer of blood in an overlapping vibrating atherosclerotic artery: A numerical study," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 166(C), pages 432-450.
    • Handle: RePEc:eee:matcom:v:166:y:2019:i:c:p:432-450
    DOI: 10.1016/j.matcom.2019.06.015
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    References listed on IDEAS

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    1. Imran, M.A. & Aleem, Maryam & Riaz, M.B. & Ali, Rizwan & Khan, Ilyas, 2019. "A comprehensive report on convective flow of fractional (ABC) and (CF) MHD viscous fluid subject to generalized boundary conditions," Chaos, Solitons & Fractals, Elsevier, vol. 118(C), pages 274-289.
    2. M. A. El Kot & W. Abbas, 2017. "Numerical technique of blood flow through catheterized arteries with overlapping stenosis," Computer Methods in Biomechanics and Biomedical Engineering, Taylor & Francis Journals, vol. 20(1), pages 45-58, January.
    3. Abdulhameed, M. & Muhammad, M.M. & Gital, A.Y. & Yakubu, D.G. & Khan, I., 2019. "Effect of fractional derivatives on transient MHD flow and radiative heat transfer in a micro-parallel channel at high zeta potentials," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 519(C), pages 42-71.
    4. Saqib, Muhammad & Khan, Ilyas & Shafie, Sharidan, 2018. "Application of Atangana–Baleanu fractional derivative to MHD channel flow of CMC-based-CNT's nanofluid through a porous medium," Chaos, Solitons & Fractals, Elsevier, vol. 116(C), pages 79-85.
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    Cited by:

    1. Yihao Wu & Hui Xing & Qingyu Zhang & Dongke Sun, 2022. "Numerical Study on Dynamics of Blood Cell Migration and Deformation in Atherosclerotic Vessels," Mathematics, MDPI, vol. 10(12), pages 1-13, June.
    2. Bera, A. & Dutta, S. & Misra, J.C. & Shit, G.C., 2021. "Computational modeling of the effect of blood flow and dual phase lag on tissue temperature during tumor treatment by magnetic hyperthermia," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 188(C), pages 389-403.

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