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<p>The current research explores the thermal transport and entropy generation phenomena in a three-dimensional magneto-bioconvective Casson nanofluid stagnation-point flow over a rotating Riga plate in the presence of thermal radiation, Joule heating, and an exponential heat source. The flow is considered within a rotating frame of reference, while gyrotactic microorganisms are incorporated to analyze bioconvection phenomena in the Casson nanofluid. The improved Buongiorno nanofluid model is employed to account for Brownian motion and thermophoretic diffusion effects. Convective boundary conditions are imposed to accurately describe the thermal transport mechanism at the surface. Suitable similarity transformations are utilized to convert the governing nonlinear partial differential equations into a system of dimensionless ODEs&#xa0;(ordinary differential equations). The consequential mathematical model is resolved analytically using the homotopy analysis method (HAM). The impacts of various physical parameters on velocity, temperature, nanoparticle concentration, microorganism density, and entropy generation are examined through graphical illustrations. The obtained results reveal that the velocity profiles decrease with increasing values of the magnetic parameter, Casson parameter, and mass Grashof number, whereas the Hartmann numbers in both axial directions enhance the fluid velocity. The temperature distribution significantly increases due to stronger thermal radiation, Joule heating, exponential heat generation, and larger Biot number values. Furthermore, the nanoparticle concentration profile intensifies with increasing thermophoresis parameter and activation energy, while Brownian motion enhances nanoparticle dispersion within the fluid. The density of motile microorganisms is found to increase with higher Peclet number values. Entropy generation is amplified by thermal radiation, magnetic effects, and Joule dissipation, indicating greater irreversibility within the system. The present investigation provides useful insights for advanced thermal engineering systems, bioconvective transport mechanisms, and industrial applications involving electromagnetic heating and nanofluid technologies.</p>

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Thermo-entropy behavior of magneto-bioconvective Casson nanofluid over a rotating Riga surface under Joule heating and radiation effects

  • 期刊论文

  • 发表日期：

    2026年7月23日

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  • Syed M. Hussain,
  • Maimoona Karim,
  • Sadique Rehman,
  • Hijaz Ahmad,
  • Wasim Jamshed,
  • Mohamed R. Eid,
  • Kamel Guedri,
  • Assmaa Abd-Elmonem

摘要

The current research explores the thermal transport and entropy generation phenomena in a three-dimensional magneto-bioconvective Casson nanofluid stagnation-point flow over a rotating Riga plate in the presence of thermal radiation, Joule heating, and an exponential heat source. The flow is considered within a rotating frame of reference, while gyrotactic microorganisms are incorporated to analyze bioconvection phenomena in the Casson nanofluid. The improved Buongiorno nanofluid model is employed to account for Brownian motion and thermophoretic diffusion effects. Convective boundary conditions are imposed to accurately describe the thermal transport mechanism at the surface. Suitable similarity transformations are utilized to convert the governing nonlinear partial differential equations into a system of dimensionless ODEs (ordinary differential equations). The consequential mathematical model is resolved analytically using the homotopy analysis method (HAM). The impacts of various physical parameters on velocity, temperature, nanoparticle concentration, microorganism density, and entropy generation are examined through graphical illustrations. The obtained results reveal that the velocity profiles decrease with increasing values of the magnetic parameter, Casson parameter, and mass Grashof number, whereas the Hartmann numbers in both axial directions enhance the fluid velocity. The temperature distribution significantly increases due to stronger thermal radiation, Joule heating, exponential heat generation, and larger Biot number values. Furthermore, the nanoparticle concentration profile intensifies with increasing thermophoresis parameter and activation energy, while Brownian motion enhances nanoparticle dispersion within the fluid. The density of motile microorganisms is found to increase with higher Peclet number values. Entropy generation is amplified by thermal radiation, magnetic effects, and Joule dissipation, indicating greater irreversibility within the system. The present investigation provides useful insights for advanced thermal engineering systems, bioconvective transport mechanisms, and industrial applications involving electromagnetic heating and nanofluid technologies.