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<p>This research examines steady two-dimensional magnetohydrodynamic flow with integrated heat and mass transfer in a hybrid non-Newtonian Casson–Eyring–Powell nanofluid over a porous stretching sheet under convective boundary conditions. Using Lie symmetry analysis, the nonlinear governing equations, which include yield stress, viscoelasticity, magnetic effects, and nanoparticle transport, are turned into a simpler system of ordinary differential equations. We use MATLAB’s bvp4c solver to find the solution to the boundary value problem that comes from this. The results obtained illustrate that the skin friction coefficient, Nusselt number, and Sherwood number compare excellently with existing results, authenticating the validity of the modelled approach developed in the study. It also indicates that the synergistic integration of magnetic forces, non-Newtonian viscosity, and nanoparticle diffusion leads to an increase in the stability of the porous medium concerning its heat transfer performance. It was evident that the improved abilities related to thermal stability and efficiency, resulting from the individual and combined influences of magnetic fields, hybrid models, and nanoparticle motion, can be used as they are in industrial thermal processing and bioengineering heat transfer applications.</p>

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Integration of lie symmetry analysis with magnetohydrodynamic heat and mass transfer in a hybrid Casson–Eyring–Powell nanofluid over a porous stretching sheet

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年6月22日

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  • Nadarajathurai Sulaxshan,
  • Abdul Rahman Mohd Kasim,
  • Noor Amalina Nisa Ariffin,
  • Najiyah Safwa Khashi’ie,
  • Sharidan Shafie

摘要

This research examines steady two-dimensional magnetohydrodynamic flow with integrated heat and mass transfer in a hybrid non-Newtonian Casson–Eyring–Powell nanofluid over a porous stretching sheet under convective boundary conditions. Using Lie symmetry analysis, the nonlinear governing equations, which include yield stress, viscoelasticity, magnetic effects, and nanoparticle transport, are turned into a simpler system of ordinary differential equations. We use MATLAB’s bvp4c solver to find the solution to the boundary value problem that comes from this. The results obtained illustrate that the skin friction coefficient, Nusselt number, and Sherwood number compare excellently with existing results, authenticating the validity of the modelled approach developed in the study. It also indicates that the synergistic integration of magnetic forces, non-Newtonian viscosity, and nanoparticle diffusion leads to an increase in the stability of the porous medium concerning its heat transfer performance. It was evident that the improved abilities related to thermal stability and efficiency, resulting from the individual and combined influences of magnetic fields, hybrid models, and nanoparticle motion, can be used as they are in industrial thermal processing and bioengineering heat transfer applications.