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<p>The present study explores the impacts of significant parameters on the flow characteristics through sensitivity analysis of magnetohydrodynamic (MHD) bioconvection nanofluid flow considering variable viscosity. Using the Runge-Kutta fourth-order technique, the set of governing equations is transformed into nonlinear coupled ordinary differential equations. The analysis focuses primarily on how various parameters, including thermophoresis, Brownian motion, variable viscosity, magnetic field, thermal radiation parameter, bioconvection Lewis number, bioconvection Peclet number, and others, influence the density profiles of microbes, temperature, and concentration. These profiles are detailed and graphically depicted. Finally, the parameters that have the most significant impact on the desired output are examined. The concluded results are applied in various fields, such as microfluidics and biological systems (like nutrient transport in aquatic environments), bioengineering, bio-nano coolant systems, and biofuel cells.</p>

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Analyzing the influence of variable viscosity and thermal radiation on heat and mass transfer of MHD bioconvective nanofluid flow through surface regression model

  • 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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  • Shantha Sheela J,
  • David Maxim Gururaj A

摘要

The present study explores the impacts of significant parameters on the flow characteristics through sensitivity analysis of magnetohydrodynamic (MHD) bioconvection nanofluid flow considering variable viscosity. Using the Runge-Kutta fourth-order technique, the set of governing equations is transformed into nonlinear coupled ordinary differential equations. The analysis focuses primarily on how various parameters, including thermophoresis, Brownian motion, variable viscosity, magnetic field, thermal radiation parameter, bioconvection Lewis number, bioconvection Peclet number, and others, influence the density profiles of microbes, temperature, and concentration. These profiles are detailed and graphically depicted. Finally, the parameters that have the most significant impact on the desired output are examined. The concluded results are applied in various fields, such as microfluidics and biological systems (like nutrient transport in aquatic environments), bioengineering, bio-nano coolant systems, and biofuel cells.