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Article

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

1
Department of Mathematics and Statistics, The University of Lahore, Sargodha Campus, Sargodha 40100, Pakistan
2
Department of Physics, Fatima Jinnah Women University, Rawalpindi 46000, Pakistan
3
National Key Laboratory of Tunable Laser Technology, Institute of Optoelectronics, Department of Electronics Science and Technology, Harbin Institute of Technology, Harbin 150080, China
*
Author to whom correspondence should be addressed.
Mathematics 2023, 11(9), 2134; https://doi.org/10.3390/math11092134
Submission received: 23 March 2023 / Revised: 20 April 2023 / Accepted: 27 April 2023 / Published: 2 May 2023
(This article belongs to the Special Issue Advances in Computational Fluid Dynamics with Applications)

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 Rg decreases. The prominent change in the phase angle of current density αm and heat flux αt 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.
Keywords: oscillating flow; mix convection; thermal stratification; non-magnetized cylinder; phase angle; heat transfer; and current density oscillating flow; mix convection; thermal stratification; non-magnetized cylinder; phase angle; heat transfer; and current density

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MDPI and ACS Style

Ullah, Z.; Jabeen, N.; Khan, M.U. Amplitude and Phase Angle of Oscillatory Heat Transfer and Current Density along a Nonconducting Cylinder with Reduced Gravity and Thermal Stratification Effects. Mathematics 2023, 11, 2134. https://doi.org/10.3390/math11092134

AMA Style

Ullah Z, Jabeen N, Khan MU. Amplitude and Phase Angle of Oscillatory Heat Transfer and Current Density along a Nonconducting Cylinder with Reduced Gravity and Thermal Stratification Effects. Mathematics. 2023; 11(9):2134. https://doi.org/10.3390/math11092134

Chicago/Turabian Style

Ullah, Zia, Nawishta Jabeen, and 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 11, no. 9: 2134. https://doi.org/10.3390/math11092134

APA Style

Ullah, Z., Jabeen, N., & Khan, M. U. (2023). Amplitude and Phase Angle of Oscillatory Heat Transfer and Current Density along a Nonconducting Cylinder with Reduced Gravity and Thermal Stratification Effects. Mathematics, 11(9), 2134. https://doi.org/10.3390/math11092134

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