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Application of Biomagnetic Fluid Dynamics modeling for simulation of flow with magnetic particles and variable fluid properties over a stretching cylinder

Author

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  • Alam, Jahangir
  • Murtaza, M.G.
  • Tzirtzilakis, E.E.
  • Ferdows, M.

Abstract

An incompressible, electrically conducting Biomagnetic Fluid Dynamics (BFD) flow—namely the flow of blood with magnetic particles through a two-dimensional stretching cylinder under the influence of a magnetic dipole—is numerically and theoretically investigated in the present study. Herein, fluid viscosity and thermal conductivity are supposed to vary as an inverse function and as linear functions of temperature, respectively. This study involves two areas of analysis, namely magnetohydrodynamics (MHD) and ferrohydrodynamics (FHD). The basic blood flow features when magnetic particles are added to blood, as well as those of pure blood are discussed. Using a similarity approach, the governing system of partial differential equations are converted into a system of ordinary differential equations which are solved numerically by considering an efficient technique based on a common finite differences method, consisting of central differencing, tridiagonal matrix manipulation and an iterative procedure. The significant effects of various physical non-dimensional parameters concerning the axial velocity, temperature, skin friction coefficient and rate of heat transfer are demonstrated graphically. The obtained results reveal that with increasing values of the ferromagnetic interaction parameter, the magnetic field parameter, the thermal conductivity parameter and the viscosity variation parameter, fluid (blood-Fe3O4) velocity is reduced, whereas both axial velocity and temperature are enhanced for the curvature parameter. Both the skin friction coefficient and the rate of heat transfer decline with rising values of the thermal conductivity parameter. To make the results physically reliable, a temporal stability analysis is also provided in this study. Finally, the accuracy of the applied numerical technique is validated with existing published literature for some limiting cases, and the results are found to be in excellent agreement. The present outcomes disclose that the behavior of blood flow can be controlled by employing a strong magnetic field. It is hoped that such kind of results will be useful in medical sector especially in MRI, magnetic drug targeting and magnetic hyperthermia treatments.

Suggested Citation

  • Alam, Jahangir & Murtaza, M.G. & Tzirtzilakis, E.E. & Ferdows, M., 2022. "Application of Biomagnetic Fluid Dynamics modeling for simulation of flow with magnetic particles and variable fluid properties over a stretching cylinder," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 199(C), pages 438-462.
    • Handle: RePEc:eee:matcom:v:199:y:2022:i:c:p:438-462
    DOI: 10.1016/j.matcom.2022.04.008
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    References listed on IDEAS

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    1. Md. Jahangir Alam & Md. Ghulam Murtaza, 2020. "Effect of temperature dependent viscosity on biomagnetic fluid flow and heat transfer over a nonlinear stretching sheet," Journal of Advances in Technology and Engineering Research, A/Professor Akbar A. Khatibi, vol. 6(1), pages 08-21.
    2. Farhad Ali & Samina Majeed & Anees Imtiaz, 2021. "Magnetohydrodynamic Blood Flow in a Cylindrical Tube with Magnetic Particles: A Time Fractional Model," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-14, July.
    3. Megahed, Ahmed M. & Reddy, M. Gnaneswara & Abbas, W., 2021. "Modeling of MHD fluid flow over an unsteady stretching sheet with thermal radiation, variable fluid properties and heat flux," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 185(C), pages 583-593.
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