Oscillatory and Periodical Behavior of Heat Transfer and Magnetic Flux along Magnetic-Driven Cylinder with Viscous Dissipation and Joule Heating Effects

Zia Ullah (), Musaad S. Aldhabani and Muhammad Adnan Qaiser
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Zia Ullah: Department of Mathematics and Statistics, The University of Lahore, Sargodha-Campus, Sargodha 40100, Pakistan
Musaad S. Aldhabani: Department of Mathematics, Faculty of Science, University of Tabuk, P.O. Box 741, Tabuk 71491, Saudi Arabia
Muhammad Adnan Qaiser: College of Physics and Optoelectronic Engineering, Shenzhen University, Shenzhen 518060, China

Mathematics, 2023, vol. 11, issue 18, 1-15

Abstract: Several primary mechanisms are less utilized in engineering and recent technologies due to unsustainable heating. The impact of viscous dissipation and Joule heating is very important to examine current density and heat rate across a magnetized cylinder. The key objective of this examination was to insulate excessive heat around the cylinder. The present effort investigated the impact of viscous dissipations, Joule heating, and magnetohydrodynamics (MHD) on the transitory motion of convective-heat transport and magnetic flux features of dissipative flows throughout a magnetized and warmed cylinder at suitable places. The suggested turbulent dynamical structure of mathematics is offered for an associated method of partial differentiation equations impacted by boundary values. The complex equations are translated via non-dimensional shapes by using relevant non-dimensional numbers. The non-dimensional representation has been improved to make it easier to conduct uniform computational calculations. The computational answers for these linked dimensionalized formulations have been achieved using the Prandtl coefficient Pr, Joule heating parameter ζ , Eckert number E c , the magneto-force number ξ , the buoyancy parameter λ , and multiple additional predefined factors. The important contribution of this work is based on non-fluctuating solutions that are utilized to examine the oscillating behavior of shearing stress, rate of fluctuating heat transport, and rate of fluctuating magnetic flux in the presence of viscous dissipation and Joule heating at prominent angles. It is shown that the velocity of a fluid increases as the buoyancy parameter increases. The maximum frequency of heat transmission is illustrated for each Eckert variable.

Keywords: viscous dissipation; Joule heating; periodic flow; oscillations; heat transfer; magnetic flux; heated cylinder (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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