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<p>This study aims to numerically investigate the heat transfer characteristics and flow behavior of a non-Newtonian Eyring–Powell fluid. The model considers the non-Newtonian properties of the Eyring–Powell fluid, a magnetic dipole, and viscous dissipation, while also incorporating micropolar and mixed convection effects to create a comprehensive analysis. This model is relevant for engineering applications such as the design of MHD generators, cooling of electronic devices, and thermal management in processes involving fluid transport under magnetic fields. The challenge of numerically solving magnetic dipole-related mathematical problems underscores the importance of this research. The mathematical model includes the governing equations for flow and energy. Similarity transformations are employed to convert these into a set of coupled nonlinear ordinary differential equations (ODEs), which are then solved using the Runge–Kutta method. The study provides an in-depth analysis of the key parameters influencing the flow problem, supported by diagrams and tables. Additionally, the local Nusselt number and the skin-friction coefficient are calculated and presented in tabular form. The numerical results yield several significant conclusions, with the most notable being that the fluid parameter <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41939_2025_741_Article_IEq1.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="10" /> </InlineMediaObject> <EquationSource Format="TEX">\(\epsilon \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>ϵ</mi> </math></EquationSource> </InlineEquation> reduces heat dissipation, thereby decreasing the heat transfer rate at the sheet surface. Higher material fluid parameters can result in stronger coupling between rotational and translational motions, leading to a decrease in velocity.</p>

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Modeling and analysis of heat transfer in Eyring–Powell fluids with magnetic and viscous dissipation: applications to MHD systems

  • 期刊论文

  • 发表日期：

    2025年2月7日

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  • Harsa Afaq,
  • Ehtsham Azhar,
  • Abid Kamran

摘要

This study aims to numerically investigate the heat transfer characteristics and flow behavior of a non-Newtonian Eyring–Powell fluid. The model considers the non-Newtonian properties of the Eyring–Powell fluid, a magnetic dipole, and viscous dissipation, while also incorporating micropolar and mixed convection effects to create a comprehensive analysis. This model is relevant for engineering applications such as the design of MHD generators, cooling of electronic devices, and thermal management in processes involving fluid transport under magnetic fields. The challenge of numerically solving magnetic dipole-related mathematical problems underscores the importance of this research. The mathematical model includes the governing equations for flow and energy. Similarity transformations are employed to convert these into a set of coupled nonlinear ordinary differential equations (ODEs), which are then solved using the Runge–Kutta method. The study provides an in-depth analysis of the key parameters influencing the flow problem, supported by diagrams and tables. Additionally, the local Nusselt number and the skin-friction coefficient are calculated and presented in tabular form. The numerical results yield several significant conclusions, with the most notable being that the fluid parameter \(\epsilon \) ϵ reduces heat dissipation, thereby decreasing the heat transfer rate at the sheet surface. Higher material fluid parameters can result in stronger coupling between rotational and translational motions, leading to a decrease in velocity.