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Amplitude and Phase Angle of Oscillatory Heat Transfer and Current Density along a Nonconducting Cylinder with Reduced Gravity and Thermal Stratification Effects

Author

Listed:
  • Zia Ullah

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

  • Nawishta Jabeen

    (Department of Physics, Fatima Jinnah Women University, Rawalpindi 46000, Pakistan)

  • Muhammad Usman Khan

    (National Key Laboratory of Tunable Laser Technology, Institute of Optoelectronics, Department of Electronics Science and Technology, Harbin Institute of Technology, Harbin 150080, China)

Abstract

Due to excessive heating, various physical mechanisms are less effective in engineering and modern technologies. The aligned electromagnetic field performs as insulation that absorbs the heat from the surroundings, which is an essential feature in contemporary technologies, to decrease high temperatures. The major goal of the present investigation is to use magnetism perpendicular to the surface to address this issue. Numerical simulations have been made of the MHD convective heat and amplitude problem of electrical fluid flow down a horizontally non-magnetized circular heated cylinder with reduced gravity and thermal stratification. The associated non-linear PDEs that control fluid motion can be conveniently represented using the finite-difference algorithm and primitive element substitution. The FORTRAN application was used to compute the quantitative outcomes, which are then displayed in diagrams and table formats. The physical features, including the phase angle, skin friction, transfer of heat, and electrical density for velocity description, the magnetic characteristics, and the temperature distribution, coupled by their gradients, have an impact on each of the variables in the flow simulation. In the domains of MRI resonant patterns, prosthetic heartvalves, interior heart cavities, and nanoburning devices, the existing magneto-hydrodynamics and thermodynamic scenario are significant. The main findings of the current work are that the dimensionless velocity of the fluid increases as the gravity factor R g decreases. The prominent change in the phase angle of current density α m and heat flux α t is examined for each value of the buoyancy parameter at both α = π / 6 and π angles. The transitory skin friction and heat transfer rate shows a prominent magnitude of oscillation at both α = π / 6 and π / 2 positions, but current density increases with a higher magnitude of oscillation.

Suggested Citation

  • 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.
  • Handle: RePEc:gam:jmathe:v:11:y:2023:i:9:p:2134-:d:1138267
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    References listed on IDEAS

    as
    1. 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.
    2. Swati Mukhopadhyay & Anuar Ishak, 2012. "Mixed Convection Flow along a Stretching Cylinder in a Thermally Stratified Medium," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-8, December.
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    Citations

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    Cited by:

    1. Zia Ullah & Musaad S. Aldhabani & Muhammad Adnan Qaiser, 2023. "Oscillatory and Periodical Behavior of Heat Transfer and Magnetic Flux along Magnetic-Driven Cylinder with Viscous Dissipation and Joule Heating Effects," Mathematics, MDPI, vol. 11(18), pages 1-15, September.
    2. 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.

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