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The present study is to highlight the significance of viscous dissipation, Joule heating and magnetic field on the stagnation point Darcy-Forchheimer flow of THNF (trihybrid nanofluid) around a spinning sphere containing Oxytactic and gyrotactic microorganisms. The analysis also includes the effects of heat generation and higher-order chemical reaction. A trihybrid nanofluid consisting of water ( H 2 O ) as the base fluid and T i O 2 , C u and F e 3 O 4 nanoparticles is used. The Hamilton–Crosser model of trihybrid nanofluid is used in this work to compare their respective performance. This model is applicable to the optimization and design of sophisticated cooling systems where effective heat transfer is necessary, like electronic cooling, nuclear reactors, and high-performance heat exchangers. This model is used in biomedical engineering to comprehend drug delivery systems where exact control over reactions and fluid dynamics is required. Oxytactic microorganisms are important because they help break down contaminants in environmental engineering and wastewater treatment procedures. The fundamental system of the PDEs (partial differential equations) and the pertinent BCs (boundary conditions) have been transformed for computation using a few appropriate transformations. The numerical estimations for the appropriate system of differential equations are derived by employing the shooting approach (Bvp4c). Extensive studies are conducted to examine the effects of pertinent limitations on the rates of heat transfer, mass transfer, density of Oxytactic and gyrotactic microorganisms for both hybrid and trihybrid nanofluid. Among the various findings of this investigation is the observation that a higher Oxytactic and gyrotactic microorganisms Schmidt numbers result in a slower trihybrid nanofluid and hybrid nanofluid Oxytactic and gyrotactic microorganism's distributions. By increasing the value of Peclet number up to 7 % the values of local density gyrotactic microorganisms enhance up to 9 % .
Elboughdiri et al. (Tue,) studied this question.