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<p>This article investigates the consequences of viscous dissipation, heat source, and chemical reaction on the magnetohydrodynamic (MHD) boundary layer flow of Williamson nano fluid across a permeable stretched sheet exhibiting slip effects. Several technical and industrial uses rely on these findings, such as heat exchangers, cooling technologies, polymer processing, biomedical fluid transfer, and thermal management of aircraft. Nanoparticles play a crucial role in enhancing thermal conductivity and modifying flow behavior. The dimensional Partial Differential Equations (PDE) that regulate the flow, together with the Boundary Constraints (B. Cs), are gradually transformed into non-dimensional Ordinary Differential Equations (ODE) with the establishment of suitable similarity elements. To solve this dimensionless non-linear ODE, we adopted the Runge Kutta Fehlberg (RKF-45) technique by converting this as an Initial Value Problem (IVP), coupled with the Shooting technique. The graphical representations of several flow factors are shown, together with an analysis of their effects on concentration, temperature, and velocity distributions. A tabular presentation of the drag coefficient and the outcomes of the mass and heat transfer coefficient computations are provided. The research indicates that augmenting the magnetic field parameter (<i>M</i>) intensifies skin friction due to the Lorentz force, but an elevated slip value (<InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="40808_2025_2409_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="12" /> </InlineMediaObject> <EquationSource Format="TEX">\(\delta\)</EquationSource> <EquationSource Format="MATHML"><math> <mi>δ</mi> </math></EquationSource> </InlineEquation>) diminishes it by minimizing the fluid-wall interaction. These results are essential for enhancing magnetohydrodynamic flow regulation, nanofluid utilisation, and porous medium transport mechanisms.</p>

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Magnetohydrodynamic (MHD) boundary layer flow of Williamson nanofluid in a porous medium: effects of viscous dissipation, heat source, and chemical reaction with applications in thermal and biomedical systems

  • 期刊论文

  • 发表日期：

    2025年4月16日

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  • Sanjeeva Reddy Mandadi,
  • Anil Kumar Mella

摘要

This article investigates the consequences of viscous dissipation, heat source, and chemical reaction on the magnetohydrodynamic (MHD) boundary layer flow of Williamson nano fluid across a permeable stretched sheet exhibiting slip effects. Several technical and industrial uses rely on these findings, such as heat exchangers, cooling technologies, polymer processing, biomedical fluid transfer, and thermal management of aircraft. Nanoparticles play a crucial role in enhancing thermal conductivity and modifying flow behavior. The dimensional Partial Differential Equations (PDE) that regulate the flow, together with the Boundary Constraints (B. Cs), are gradually transformed into non-dimensional Ordinary Differential Equations (ODE) with the establishment of suitable similarity elements. To solve this dimensionless non-linear ODE, we adopted the Runge Kutta Fehlberg (RKF-45) technique by converting this as an Initial Value Problem (IVP), coupled with the Shooting technique. The graphical representations of several flow factors are shown, together with an analysis of their effects on concentration, temperature, and velocity distributions. A tabular presentation of the drag coefficient and the outcomes of the mass and heat transfer coefficient computations are provided. The research indicates that augmenting the magnetic field parameter (M) intensifies skin friction due to the Lorentz force, but an elevated slip value ( \(\delta\) δ ) diminishes it by minimizing the fluid-wall interaction. These results are essential for enhancing magnetohydrodynamic flow regulation, nanofluid utilisation, and porous medium transport mechanisms.