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<p>This study investigates the impact of radiation and chemical reactions to the magneto-hydrodynamic (MHD) flow of a Williamson nanofluid over a stretched wedge under slip conditions, within a Darcy–Forchheimer porous medium. The model incorporates effects such as thermophoresis, mixed convection, Brownian motion, viscous dissipation, and suction/blowing, along with heat generation and radiation absorption, to provide a comprehensive representation of thermal and mass transport. Using similarity transformations, the governing equations are reduced to a system of nonlinear ordinary differential equations, which are solved using MATLAB’s <i>bvp4c</i> solver. Results are validated and presented through detailed tables and plots, highlighting the influence of key parameters on fluid behavior. Notably, increasing the Forchheimer number (<i>Fr</i>) enhances the flow velocity at <i>χ</i> = 0.2 but reduces it at χ = 2.2. Additionally, higher thermal slip and suction parameters lead to a decline in temperature. These insights offer potential applications in engineering and industrial systems involving MHD flows.</p>

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Flow of a reacting and radiating Williamson nanofluid past a stretching wedge in a porous medium

  • 期刊论文

  • 发表日期：

    2026年5月25日

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  • Sonam Garg,
  • Rajendra Singh Yadav

摘要

This study investigates the impact of radiation and chemical reactions to the magneto-hydrodynamic (MHD) flow of a Williamson nanofluid over a stretched wedge under slip conditions, within a Darcy–Forchheimer porous medium. The model incorporates effects such as thermophoresis, mixed convection, Brownian motion, viscous dissipation, and suction/blowing, along with heat generation and radiation absorption, to provide a comprehensive representation of thermal and mass transport. Using similarity transformations, the governing equations are reduced to a system of nonlinear ordinary differential equations, which are solved using MATLAB’s bvp4c solver. Results are validated and presented through detailed tables and plots, highlighting the influence of key parameters on fluid behavior. Notably, increasing the Forchheimer number (Fr) enhances the flow velocity at χ = 0.2 but reduces it at χ = 2.2. Additionally, higher thermal slip and suction parameters lead to a decline in temperature. These insights offer potential applications in engineering and industrial systems involving MHD flows.