Abstract

The primary objective of this investigation is to explore the effects of velocity and nanoparticle slip mechanism on the hydrodynamic behavior of the Darcy-Forchheimer flow of nanomaterials where the blend of (Fe2O3−H2O) (50%−50%) was used as a working fluid. The bioconvection flow of multi-diffusive nanofluid fluid across sheet surface is investigated taking the consequences of oxytactic microorganisms. The Brownian motion and thermophoretic phenomena is explored using Buongiorno slip mechanism theory while the Tiwari Das model incorporate the volume percentage of nanoparticles. The Darcy-Forchheimer medium appears at the sheet surface that permits the flow in the horizontal direction with the effects of permeability and drag. The flow is subjected to first and second order slip and radiative heat transfer. The action of gyrotactic microbes is supported by bioconvection, which strengthens the phenomena of mass transfer. The fundamental governing equations resulting from computational modelling are turned into ordinary differential equations using suitable rescaling variables. The identified complicated equation was numerically solved using the Runge-Kutta-Fehlberg fourth order procedure with shooting techniques. The volume friction of the nanoparticles and the Knudsen number accelerate the stretching and nonaligned velocities field of the nanofluid. The Darcy number, on the other hand, slows down the velocities near the sheet surface. The temperature profile rises against thermal radiation and volumetric friction, while an inverse tendency is found with higher Prandtl number magnitude. The concentration profile of nanoparticles advances through the thermophoresis parameter. The bioconvection Lewis number and the Peclet number shrink the density profile of gyrotactic motile microbes.

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