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Numerical Study of Lorentz Force Interaction with Micro Structure in Channel Flow

Author

Listed:
  • Shabbir Ahmad

    (Institute of Geophysics and Geomatics, China University of Geosciences, Wuhan 430074, China)

  • Kashif Ali

    (Department of Basic Sciences and Humanities, Muhammad Nawaz Sharif University of Engineering and Technology, Multan 60000, Pakistan)

  • Sohail Ahmad

    (Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan 60000, Pakistan)

  • Jianchao Cai

    (Institute of Geophysics and Geomatics, China University of Geosciences, Wuhan 430074, China)

Abstract

The heat transfer Magnetohydrodynamics flows have been potentially used to enhance the thermal characteristics of several systems such as heat exchangers, electromagnetic casting, adjusting blood flow, X-rays, magnetic drug treatment, cooling of nuclear reactors, and magnetic devices for cell separation. Our concern in this article is to numerically investigate the flow of an incompressible Magnetohydrodynamics micropolar fluid with heat transportation through a channel having porous walls. By employing the suitable dimensionless coordinates, the flow model equations are converted into a nonlinear system of dimensionless ordinary differential equations, which are then numerically treated for different preeminent parameters with the help of quasi-linearization. The system of complex nonlinear differential equations can efficiently be solved using this technique. Impact of the problem parameters for microrotation, temperature, and velocity are interpreted and discussed through tables and graphs. The present numerical results are compared with those presented in previous literature and examined to be in good contact with them. It has been noted that the imposed magnetic field acts as a frictional force which not only increases the shear stresses and heat transfer rates at the channel walls, but also tends to rotate the micro particles in the fluid more rapidly. Furthermore, viscous dissipation may raise fluid temperature to such a level that the possibility of thermal reversal exists, at the geometric boundaries of the domain. It is therefore recommended that external magnetic fields and viscous dissipation effects may be considered with caution in applications where thermal control is required.

Suggested Citation

  • Shabbir Ahmad & Kashif Ali & Sohail Ahmad & Jianchao Cai, 2021. "Numerical Study of Lorentz Force Interaction with Micro Structure in Channel Flow," Energies, MDPI, vol. 14(14), pages 1-18, July.
  • Handle: RePEc:gam:jeners:v:14:y:2021:i:14:p:4286-:d:595137
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    References listed on IDEAS

    as
    1. Liaquat Ali Lund & Zurni Omar & Ilyas Khan & Seifedine Kadry & Seungmin Rho & Irshad Ali Mari & Kottakkaran Sooppy Nisar, 2019. "Effect of Viscous Dissipation in Heat Transfer of MHD Flow of Micropolar Fluid Partial Slip Conditions: Dual Solutions and Stability Analysis," Energies, MDPI, vol. 12(24), pages 1-17, December.
    2. Khader, M.M. & Sharma, Ram Prakash, 2021. "Evaluating the unsteady MHD micropolar fluid flow past stretching/shirking sheet with heat source and thermal radiation: Implementing fourth order predictor–corrector FDM," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 181(C), pages 333-350.
    3. Muhammad Umar & Amjad Ali & Zainab Bukhari & Gullnaz Shahzadi & Arshad Saleem, 2021. "Impact of Lorentz Force in Thermally Developed Pulsatile Micropolar Fluid Flow in a Constricted Channel," Energies, MDPI, vol. 14(8), pages 1-16, April.
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