Magnetic Field Effects on Convective Heat Transfer of Ferrofluid from a Heated Sphere in Porous Media

The impact of a magnetic field on the convective heat transfer of ferrofluids from a heated sphere immersed in a porous medium is investigated. The dimensional governing boundary layer equations are initially transformed into a convenient non-dimensional form utilizing the non-dimensional variables....

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Main Authors: Ayesha Aktar, Sharaban Thohura, Md. Mamun Molla
Format: Article
Language:English
Published: Semnan University 2025-05-01
Series:Journal of Heat and Mass Transfer Research
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Online Access:https://jhmtr.semnan.ac.ir/article_9171_d2e3d1f8a2b921b8e7ecb82c69a22673.pdf
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author Ayesha Aktar
Sharaban Thohura
Md. Mamun Molla
author_facet Ayesha Aktar
Sharaban Thohura
Md. Mamun Molla
author_sort Ayesha Aktar
collection DOAJ
description The impact of a magnetic field on the convective heat transfer of ferrofluids from a heated sphere immersed in a porous medium is investigated. The dimensional governing boundary layer equations are initially transformed into a convenient non-dimensional form utilizing the non-dimensional variables. The resulting nonlinear systems of equations are then numerically solved inside the computing domain into a regular rectangle using the effective Finite Difference Method (FDM).  Numerical outcomes are then represented in terms of local Nusselt number, velocity, temperature profile, and skin friction coefficient, respectively for a range of porosity parameters, ϵ = 0.4, 0.6, 0.8, magnetic effect parameter or Hartmann number, Ha = 0.0, 1.0, 3.0, 5.0 and the ferroparticle volume fraction coefficients, ϕ = 0%, 2%, 4%, 6%. It is thought that the base fluid’s Prandtl number, Pr=6.8733, is constant. In addition, the flow pattern inside the boundary layer region is shown using streamlines and isotherms, and the underlying physics of the flow behavior is then explored. There is a graphical presentation of the data. The findings show that velocity decreases with increasing value Ha, ϕ and ϵ. An increase in the Hartmann number Ha causes the temperature to rise. The local N_u  and C_(f  )are decreasing as Ha and ϕ values increase. With an increase in the porosity parameter ϵ and ϕ, the temperature profile rises and the C_f and local N_u decrease. For increasing Ha, the figure of streamlines seems to depict functions with more gradual changes, and for isotherms, it represents functions with sharper, exponential-like increases. While many works focus on ferrofluids or porous media individually, combining the study of heat transfer in ferrofluids within porous structures can represent a distinct focus. The problem is crucial for developing advanced heat transfer technologies for more efficient energy management in various engineering applications.
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spelling doaj-art-7fe220af35b040eea79c1467bc90fb932025-01-20T11:28:51ZengSemnan UniversityJournal of Heat and Mass Transfer Research2345-508X2383-30682025-05-0112117719210.22075/jhmtr.2024.33841.15549171Magnetic Field Effects on Convective Heat Transfer of Ferrofluid from a Heated Sphere in Porous MediaAyesha Aktar0Sharaban Thohura1Md. Mamun Molla2Department of Mathematics, Jagannath University, Dhaka-1100, BangladeshDepartment of Mathematics, Jagannath University, Dhaka-1100, BangladeshDepartment of Mathematics & Physics, North South University (NSU), Dhaka-1229, BangladeshThe impact of a magnetic field on the convective heat transfer of ferrofluids from a heated sphere immersed in a porous medium is investigated. The dimensional governing boundary layer equations are initially transformed into a convenient non-dimensional form utilizing the non-dimensional variables. The resulting nonlinear systems of equations are then numerically solved inside the computing domain into a regular rectangle using the effective Finite Difference Method (FDM).  Numerical outcomes are then represented in terms of local Nusselt number, velocity, temperature profile, and skin friction coefficient, respectively for a range of porosity parameters, ϵ = 0.4, 0.6, 0.8, magnetic effect parameter or Hartmann number, Ha = 0.0, 1.0, 3.0, 5.0 and the ferroparticle volume fraction coefficients, ϕ = 0%, 2%, 4%, 6%. It is thought that the base fluid’s Prandtl number, Pr=6.8733, is constant. In addition, the flow pattern inside the boundary layer region is shown using streamlines and isotherms, and the underlying physics of the flow behavior is then explored. There is a graphical presentation of the data. The findings show that velocity decreases with increasing value Ha, ϕ and ϵ. An increase in the Hartmann number Ha causes the temperature to rise. The local N_u  and C_(f  )are decreasing as Ha and ϕ values increase. With an increase in the porosity parameter ϵ and ϕ, the temperature profile rises and the C_f and local N_u decrease. For increasing Ha, the figure of streamlines seems to depict functions with more gradual changes, and for isotherms, it represents functions with sharper, exponential-like increases. While many works focus on ferrofluids or porous media individually, combining the study of heat transfer in ferrofluids within porous structures can represent a distinct focus. The problem is crucial for developing advanced heat transfer technologies for more efficient energy management in various engineering applications.https://jhmtr.semnan.ac.ir/article_9171_d2e3d1f8a2b921b8e7ecb82c69a22673.pdfmagnetohydrodynamicferrofluidheated sphereporous mediaheat transferfinite difference method
spellingShingle Ayesha Aktar
Sharaban Thohura
Md. Mamun Molla
Magnetic Field Effects on Convective Heat Transfer of Ferrofluid from a Heated Sphere in Porous Media
Journal of Heat and Mass Transfer Research
magnetohydrodynamic
ferrofluid
heated sphere
porous media
heat transfer
finite difference method
title Magnetic Field Effects on Convective Heat Transfer of Ferrofluid from a Heated Sphere in Porous Media
title_full Magnetic Field Effects on Convective Heat Transfer of Ferrofluid from a Heated Sphere in Porous Media
title_fullStr Magnetic Field Effects on Convective Heat Transfer of Ferrofluid from a Heated Sphere in Porous Media
title_full_unstemmed Magnetic Field Effects on Convective Heat Transfer of Ferrofluid from a Heated Sphere in Porous Media
title_short Magnetic Field Effects on Convective Heat Transfer of Ferrofluid from a Heated Sphere in Porous Media
title_sort magnetic field effects on convective heat transfer of ferrofluid from a heated sphere in porous media
topic magnetohydrodynamic
ferrofluid
heated sphere
porous media
heat transfer
finite difference method
url https://jhmtr.semnan.ac.ir/article_9171_d2e3d1f8a2b921b8e7ecb82c69a22673.pdf
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AT sharabanthohura magneticfieldeffectsonconvectiveheattransferofferrofluidfromaheatedsphereinporousmedia
AT mdmamunmolla magneticfieldeffectsonconvectiveheattransferofferrofluidfromaheatedsphereinporousmedia