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Impact of Lorentz Force in Thermally Developed Pulsatile Micropolar Fluid Flow in a Constricted Channel

Author

Listed:
  • Muhammad Umar

    (Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan 60800, Pakistan)

  • Amjad Ali

    (Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan 60800, Pakistan)

  • Zainab Bukhari

    (Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan 60800, Pakistan)

  • Gullnaz Shahzadi

    (Department of Mechanical Engineering, École de Technologie Supérieure ÉTS, 1100 Notre-Dame W, Montreal, QC H3C 1K3, Canada)

  • Arshad Saleem

    (Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan 60800, Pakistan)

Abstract

This work aimed to analyze the heat transfer of micropolar fluid flow in a constricted channel influenced by thermal radiation and the Lorentz force. A finite difference-based flow solver, on a Cartesian grid, is used for the numerical solution after transforming the governing equations into the vorticity-stream function form. The impact of various emerging parameters on the wall shear stress, axial velocity, micro-rotation velocity and temperature profiles is discussed in this paper. The temperature profile is observed to have an inciting trend towards the thermal radiation, whereas it has a declining trend towards the Hartman and Prandtl numbers. The axial velocity profile has an inciting trend towards the Hartman number, whereas it has a declining trend towards the micropolar parameter and Reynolds number. The micro-rotation velocity escalates with the micropolar parameter and Hartman number, whereas it de-escalates with the Reynolds number. The Nusselt number is observed to have a direct relationship with the Prandtl and Reynolds numbers.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jeners:v:14:y:2021:i:8:p:2173-:d:535543
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    Cited by:

    1. 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.

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