<p>The characteristics of the Casson nanofluid flow through a rotating porous disk in a medium with a perforated bottom is addressed by accounting for a magnetic field, thermal radiation, and multiple slip effects that characterize such complex dynamics. A reversible chemical reaction, specifically through the esterification process, further impacts the flow behaviour, adding a layer of complexity to the system. The mathematical model is rigorously transformed into a set of nonlinear ordinary differential equations using self-similar transformations. These equations are numerically solved with high precision using the Lobatto-IIIa-Bvp4c algorithm. This approach ensures robust solutions for a wide range of parameter variations. Graphical results elucidate the implications of Prandtl number, magnetic field strength, heat radiation, Lewis number, and Bioconvection Lewis number on the distribution profiles of temperature and fluid velocity, heat transfer rates, and surface shear stress. Higher Prandtl numbers and heat radiation parameters lower temperature field profiles, indicating better thermal conductivity. Increased magnetic flux raises fluid temperature via resistive heating. The study highlights the dependence of radiative heat transfer on the temperature disparity between the fluid and its surroundings, fluid surface emissivity, and the thermal properties of adjacent surfaces. Increasing the Lewis number diminishes mass diffusivity, indicating restricted molecular diffusion in the fluid. Bioconvection Lewis number reductions also have a lower energy profile and fluid mobility. Thus, examining the effects of various physical and chemical parameters on the results has improved understanding of the bioconvection phenomena associated with Casson nanofluids and the practical implications that deal with porous media, magnetic field, and reactive environment.</p>

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Evaluation of Casson nanofluid bioconvective flow influenced by a radiative spinning disc, including reversible chemical reactions with porous medium

  • Umadevi Raju,
  • Prabhakar Sagadevan,
  • Meganathan Murugesan,
  • Shyam Sundar Santra,
  • Susmay Nandi,
  • Syed Modassir Hussain

摘要

The characteristics of the Casson nanofluid flow through a rotating porous disk in a medium with a perforated bottom is addressed by accounting for a magnetic field, thermal radiation, and multiple slip effects that characterize such complex dynamics. A reversible chemical reaction, specifically through the esterification process, further impacts the flow behaviour, adding a layer of complexity to the system. The mathematical model is rigorously transformed into a set of nonlinear ordinary differential equations using self-similar transformations. These equations are numerically solved with high precision using the Lobatto-IIIa-Bvp4c algorithm. This approach ensures robust solutions for a wide range of parameter variations. Graphical results elucidate the implications of Prandtl number, magnetic field strength, heat radiation, Lewis number, and Bioconvection Lewis number on the distribution profiles of temperature and fluid velocity, heat transfer rates, and surface shear stress. Higher Prandtl numbers and heat radiation parameters lower temperature field profiles, indicating better thermal conductivity. Increased magnetic flux raises fluid temperature via resistive heating. The study highlights the dependence of radiative heat transfer on the temperature disparity between the fluid and its surroundings, fluid surface emissivity, and the thermal properties of adjacent surfaces. Increasing the Lewis number diminishes mass diffusivity, indicating restricted molecular diffusion in the fluid. Bioconvection Lewis number reductions also have a lower energy profile and fluid mobility. Thus, examining the effects of various physical and chemical parameters on the results has improved understanding of the bioconvection phenomena associated with Casson nanofluids and the practical implications that deal with porous media, magnetic field, and reactive environment.