Significance of solar radiation and viscous dissipation on oscillatory and steady convective heat transfer around buoyancy-driven sphere using FDM scheme

The innovation of this paper is to explore the transient behavior of heat transport and transient behavior of shear stress rate of unsteady fluid flow around the sphere surface in the presence of solar radiation, thermal buoyancy and viscous dissipation. Thermal radiation is used in the development...

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Main Authors: Alanoud Alsuhaymi, Musaad S. Aldhabani
Format: Article
Language:English
Published: Elsevier 2025-03-01
Series:Case Studies in Thermal Engineering
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2214157X25000772
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author Alanoud Alsuhaymi
Musaad S. Aldhabani
author_facet Alanoud Alsuhaymi
Musaad S. Aldhabani
author_sort Alanoud Alsuhaymi
collection DOAJ
description The innovation of this paper is to explore the transient behavior of heat transport and transient behavior of shear stress rate of unsteady fluid flow around the sphere surface in the presence of solar radiation, thermal buoyancy and viscous dissipation. Thermal radiation is used in the development of nuclear reactors, fire propagation, jet motion, chemical manufacturing, missile engine power, rockets, ships, space exploration, supersonic weapons, and gasoline turbines. The main theme of this examination is to generate the oscillations in heat frequency and oscillations in shear stress rate around a sphere surface. The governing mathematical model is solved by using primitive variable formulation and finite difference method. The formulated model is changed into global matrix form by using Gaussian elimination method. The effects of viscous dissipation N, thermal radiation Rd, buoyancy force λ and Prandtl parameter Pr on velocity distribution, temperature distribution, oscillatory shear stress and oscillatory heat transfer around three positions of buoyancy-driven sphere. In this proposal, the influence of various parameters on oscillatory shear stress and oscillatory heat transfer around different positions of heated sphere is drafted physically. It is depicted that the velocity distribution increases as viscous dissipation increases around position α=0.1 of sphere but the minimum velocity profile is noted around position α=1.0 of sphere. It is found that the oscillation of shear stress and heat transport increases as buoyancy force, viscous dissipation and solar radiation increases around each position of heated sphere.
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spelling doaj-art-0be9d1038da44a40ac9666cc8b32a32e2025-02-06T05:11:45ZengElsevierCase Studies in Thermal Engineering2214-157X2025-03-0167105817Significance of solar radiation and viscous dissipation on oscillatory and steady convective heat transfer around buoyancy-driven sphere using FDM schemeAlanoud Alsuhaymi0Musaad S. Aldhabani1Corresponding author.; Department of Mathematics, Faculty of Science, University of Tabuk, P.O. Box 741, Tabuk, 71491, Saudi ArabiaDepartment of Mathematics, Faculty of Science, University of Tabuk, P.O. Box 741, Tabuk, 71491, Saudi ArabiaThe innovation of this paper is to explore the transient behavior of heat transport and transient behavior of shear stress rate of unsteady fluid flow around the sphere surface in the presence of solar radiation, thermal buoyancy and viscous dissipation. Thermal radiation is used in the development of nuclear reactors, fire propagation, jet motion, chemical manufacturing, missile engine power, rockets, ships, space exploration, supersonic weapons, and gasoline turbines. The main theme of this examination is to generate the oscillations in heat frequency and oscillations in shear stress rate around a sphere surface. The governing mathematical model is solved by using primitive variable formulation and finite difference method. The formulated model is changed into global matrix form by using Gaussian elimination method. The effects of viscous dissipation N, thermal radiation Rd, buoyancy force λ and Prandtl parameter Pr on velocity distribution, temperature distribution, oscillatory shear stress and oscillatory heat transfer around three positions of buoyancy-driven sphere. In this proposal, the influence of various parameters on oscillatory shear stress and oscillatory heat transfer around different positions of heated sphere is drafted physically. It is depicted that the velocity distribution increases as viscous dissipation increases around position α=0.1 of sphere but the minimum velocity profile is noted around position α=1.0 of sphere. It is found that the oscillation of shear stress and heat transport increases as buoyancy force, viscous dissipation and solar radiation increases around each position of heated sphere.http://www.sciencedirect.com/science/article/pii/S2214157X25000772Oscillatory flowSolar radiationViscous dissipationThermal buoyancyOscillatory heat transferHeated sphere
spellingShingle Alanoud Alsuhaymi
Musaad S. Aldhabani
Significance of solar radiation and viscous dissipation on oscillatory and steady convective heat transfer around buoyancy-driven sphere using FDM scheme
Case Studies in Thermal Engineering
Oscillatory flow
Solar radiation
Viscous dissipation
Thermal buoyancy
Oscillatory heat transfer
Heated sphere
title Significance of solar radiation and viscous dissipation on oscillatory and steady convective heat transfer around buoyancy-driven sphere using FDM scheme
title_full Significance of solar radiation and viscous dissipation on oscillatory and steady convective heat transfer around buoyancy-driven sphere using FDM scheme
title_fullStr Significance of solar radiation and viscous dissipation on oscillatory and steady convective heat transfer around buoyancy-driven sphere using FDM scheme
title_full_unstemmed Significance of solar radiation and viscous dissipation on oscillatory and steady convective heat transfer around buoyancy-driven sphere using FDM scheme
title_short Significance of solar radiation and viscous dissipation on oscillatory and steady convective heat transfer around buoyancy-driven sphere using FDM scheme
title_sort significance of solar radiation and viscous dissipation on oscillatory and steady convective heat transfer around buoyancy driven sphere using fdm scheme
topic Oscillatory flow
Solar radiation
Viscous dissipation
Thermal buoyancy
Oscillatory heat transfer
Heated sphere
url http://www.sciencedirect.com/science/article/pii/S2214157X25000772
work_keys_str_mv AT alanoudalsuhaymi significanceofsolarradiationandviscousdissipationonoscillatoryandsteadyconvectiveheattransferaroundbuoyancydrivensphereusingfdmscheme
AT musaadsaldhabani significanceofsolarradiationandviscousdissipationonoscillatoryandsteadyconvectiveheattransferaroundbuoyancydrivensphereusingfdmscheme