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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Semnan University
2025-05-01
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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 |
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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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language | English |
publishDate | 2025-05-01 |
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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 |
work_keys_str_mv | AT ayeshaaktar magneticfieldeffectsonconvectiveheattransferofferrofluidfromaheatedsphereinporousmedia AT sharabanthohura magneticfieldeffectsonconvectiveheattransferofferrofluidfromaheatedsphereinporousmedia AT mdmamunmolla magneticfieldeffectsonconvectiveheattransferofferrofluidfromaheatedsphereinporousmedia |