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<p>This work considers the steady, incompressible and two-dimensional flow of an MHD tangent hyperbolic nanofluid over a linear stretching surface, incorporating thermal radiation and slippery boundary conditions. It also examines the impacts of suction/injection, heat generation or absorption, porous media, and varying thermal conductivity. The Lie symmetric analysis with a novel homotopy approach is utilised to examine the influence of non-dimensional parameters, such as the Weissenberg number, the Hartmann number, the power-law index, the porosity parameter, and the heat absorption/generation parameter, on the fluid flow and temperature. Furthermore, the suction and injection effects are taken into account in the comparative study. The impact of various parameters on the surface drag force and the heat transfer rate are analysed numerically. Finally, the obtained results have been validated numerically with the existing results. Notably, an enhancement in the heat transmission rate is observed for larger values of <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\( \varvec{\beta } \)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi mathvariant="bold-italic">β</mi> </mrow> </math></EquationSource> </InlineEquation> and <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\( \varvec{R}_{\varvec{d}} \)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mrow> <mi mathvariant="bold-italic">R</mi> </mrow> <mrow> <mi mathvariant="bold-italic">d</mi> </mrow> </msub> </math></EquationSource> </InlineEquation>, whereas it reduces for higher values of <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\( \varvec{\mathcal {Q}} \)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi mathvariant="bold-script">Q</mi> </mrow> </math></EquationSource> </InlineEquation> and the small thermal conductivity variable. It is important to note that the heat transmission rate is greater in the suction scenario than in the injection scenario.</p>

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Effect of magnetic field on tangent hyperbolic nanofluid flow over a porous stretching sheet with varying thermal conductivity

  • 期刊论文

  • 发表日期：

    2025年3月3日

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  • Vishalkumar J. Prajapati,
  • Ramakanta Meher

摘要

This work considers the steady, incompressible and two-dimensional flow of an MHD tangent hyperbolic nanofluid over a linear stretching surface, incorporating thermal radiation and slippery boundary conditions. It also examines the impacts of suction/injection, heat generation or absorption, porous media, and varying thermal conductivity. The Lie symmetric analysis with a novel homotopy approach is utilised to examine the influence of non-dimensional parameters, such as the Weissenberg number, the Hartmann number, the power-law index, the porosity parameter, and the heat absorption/generation parameter, on the fluid flow and temperature. Furthermore, the suction and injection effects are taken into account in the comparative study. The impact of various parameters on the surface drag force and the heat transfer rate are analysed numerically. Finally, the obtained results have been validated numerically with the existing results. Notably, an enhancement in the heat transmission rate is observed for larger values of \( \varvec{\beta } \) β and \( \varvec{R}_{\varvec{d}} \) R d , whereas it reduces for higher values of \( \varvec{\mathcal {Q}} \) Q and the small thermal conductivity variable. It is important to note that the heat transmission rate is greater in the suction scenario than in the injection scenario.