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<p>This research investigates the effects of slip velocity and magnetohydrodynamic (MHD) influences on the flow dynamics of non-Newtonian nano-fluids within convergent and divergent channels using the Homotopy Perturbation Method (HPM). The study develops a mathematical framework to model and analyze how slip conditions and magnetic fields impact fluid behavior, velocity profiles, pressure distributions, and heat transfer rates. Analytical solutions to the governing equations are derived using the homotopy perturbation approach, offering valuable insights into fluid dynamics within complex channel geometries. The findings reveal significant changes in velocity profiles and pressure distributions due to slip effects, with increased slip resulting in higher flow velocities in both channel types. Stronger magnetic fields, indicated by higher Hartmann numbers, lead to enhanced fluid velocities and elevated temperatures, highlighting the pronounced impact of MHD effects. Furthermore, the combined presence of slip velocity and MHD effects enhances heat transfer rates, suggesting potential advancements in thermal management systems. Additionally, the study emphasizes that higher magnetic parameters contribute to increased entropy generation, indicating greater energy dissipation and system disorder. These effects underline the potential for optimization in engineering applications such as microfluidic devices and industrial heat exchangers, where an improved understanding of non-Newtonian nano-fluid behavior can enhance performance.</p>

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Influence of slip velocity and heat generation on magneto-nanofluid flow via divergent and convergent plates using perturbation technique

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年7月2日

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  • Laiq Zada,
  • Rashid Nawaz,
  • Hijaz Ahmad,
  • Basim M. Makhdoum,
  • Nagat A. A. Suoliman,
  • Abdulrazak H. Almaliki,
  • Mustafa Bayram

摘要

This research investigates the effects of slip velocity and magnetohydrodynamic (MHD) influences on the flow dynamics of non-Newtonian nano-fluids within convergent and divergent channels using the Homotopy Perturbation Method (HPM). The study develops a mathematical framework to model and analyze how slip conditions and magnetic fields impact fluid behavior, velocity profiles, pressure distributions, and heat transfer rates. Analytical solutions to the governing equations are derived using the homotopy perturbation approach, offering valuable insights into fluid dynamics within complex channel geometries. The findings reveal significant changes in velocity profiles and pressure distributions due to slip effects, with increased slip resulting in higher flow velocities in both channel types. Stronger magnetic fields, indicated by higher Hartmann numbers, lead to enhanced fluid velocities and elevated temperatures, highlighting the pronounced impact of MHD effects. Furthermore, the combined presence of slip velocity and MHD effects enhances heat transfer rates, suggesting potential advancements in thermal management systems. Additionally, the study emphasizes that higher magnetic parameters contribute to increased entropy generation, indicating greater energy dissipation and system disorder. These effects underline the potential for optimization in engineering applications such as microfluidic devices and industrial heat exchangers, where an improved understanding of non-Newtonian nano-fluid behavior can enhance performance.