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Oscillatory Behavior of Heat Transfer and Magnetic Flux of Electrically Conductive Fluid Flow along Magnetized Cylinder with Variable Surface Temperature

Author

Listed:
  • Zia Ullah

    (Department of Mathematics and Statistics, The University of Lahore, Sargodha-Campus, Sargodha 40100, Pakistan)

  • Nifeen H. Altaweel

    (Department of Mathematics, Faculty of Science, University of Tabuk, P.O. Box 741, Tabuk 71491, Saudi Arabia)

  • Musaad S. Aldhabani

    (Department of Mathematics, Faculty of Science, University of Tabuk, P.O. Box 741, Tabuk 71491, Saudi Arabia)

  • Kaouther Ghachem

    (Department of Industrial Engineering and Systems, College of Engineering, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia)

  • Muapper Alhadri

    (Department of Mechanical Engineering, College of Engineering, University of Ha’il, Ha’il City 81481, Saudi Arabia)

  • Lioua Kolsi

    (Department of Mechanical Engineering, College of Engineering, University of Ha’il, Ha’il City 81481, Saudi Arabia
    Laboratory of Meteorology and Energy Systems, University of Monastir, Monastir 5000, Tunisia)

Abstract

The present study deals with electrically conductive fluid flow across a heated circular cylinder to examine the oscillatory magnetic flux and heat transfer in the presence of variable surface temperature. The proposed mathematical formulation is time-dependent, which is the source of the amplitude and fluctuation in this analysis. The designed fluctuating nonlinear computational model is associated with the differential equations under specific boundary conditions. The governing equations are converted into dimensionless form by using adequate dimensionless variables. To simplify the resolution of the set of governing equations, it is further reduced. The effects of surface temperature parameter β , magnetic force number ξ , buoyancy parameter λ , Prandtl number Pr, and magnetic Prandtl parameter γ are investigated. The main finding of the current study is related to the determination of the temperature distribution for each inclination angle. It is seen that a higher amplitude of the heat transfer rate occurs as the surface temperature increases. It is also noticed that the oscillatory magnetic flux becomes more important as the magnetic Prandtl number increases at each position. The present magneto-thermal analysis is significantly important in practical applications such as power plants, thermally insulated engines, and nuclear reactor cooling.

Suggested Citation

  • Zia Ullah & Nifeen H. Altaweel & Musaad S. Aldhabani & Kaouther Ghachem & Muapper Alhadri & Lioua Kolsi, 2023. "Oscillatory Behavior of Heat Transfer and Magnetic Flux of Electrically Conductive Fluid Flow along Magnetized Cylinder with Variable Surface Temperature," Mathematics, MDPI, vol. 11(14), pages 1-17, July.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:14:p:3045-:d:1190346
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    References listed on IDEAS

    as
    1. Zia Ullah & Nawishta Jabeen & Muhammad Usman Khan, 2023. "Amplitude and Phase Angle of Oscillatory Heat Transfer and Current Density along a Nonconducting Cylinder with Reduced Gravity and Thermal Stratification Effects," Mathematics, MDPI, vol. 11(9), pages 1-17, May.
    2. Khaled Al-Farhany & Barik Al-Muhja & Karuppusamy Loganathan & Umadevi Periyasamy & Farhan Ali & Ioannis E. Sarris, 2022. "Analysis of Convection Phenomenon in Enclosure Utilizing Nanofluids with Baffle Effects," Energies, MDPI, vol. 15(18), pages 1-18, September.
    3. Hossain, Md. Anwar & Roy, Nepal C. & Siddiqa, Sadia, 2017. "Unsteady mixed convection dusty fluid flow past a vertical wedge due to small fluctuation in free stream and surface temperature," Applied Mathematics and Computation, Elsevier, vol. 293(C), pages 480-492.
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