Abstract

In this research article, we examined the Darcy-Forchheimer 3D in bioconvection Casson nanofluid flow in light of a whirling disk with Arrhenius Activation Energy and thermal Radiation. The governing equations are converted to the similarity equations and solved afterward by utilizing the Homotopy Analysis Method on behalf of several controlling parameters. The findings from this study show, that the radial velocity and tangential component of velocity decreasing for increasing values of the Inertia coefficient and the Porosity parameter. Velocity profiles enlarge with the enlargement of Gr for nanofluids. Radial velocity diminishes with expanding Reynolds numbers {text{Re}}_{r} and magnetic field parameters. The tangential component of velocity gleft( xi right) increases with diminishing Reynolds numbers {text{Re}}_{r} and reduces with expanding magnetic field factors. For increasing values of Prandtl number temperature profile is increased. Heat rises with radiation parameter, thermophoresis and Brownian movement parameters. Also, nanoparticles concentration reduces on expanding Brownian motion parameter and Schmidt parameter.

Highlights

  • The ongoing improvement in nanoscience acquires a potential intrigue the centrality of nanoparticles as of late

  • The fascinating slip highlights of Brownian movement and thermophoresis development related to the nanofluid were examined by Buongiorno [2]

  • The nanoparticles and gyrotactic microbes alongside the second-grade nanofluid stream and warmth move in which heat expanded with the thermophoresis constraint were explored by Zuhra et al [27]

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Summary

E Nondimensional activation energy

C3 Spin gradient viscosity parameter C2 Spin gradient viscosity parameter T Temperature of the fluid (K ). Gr Grashof number F1 Inertia coefficient Rer Reynolds number Cf Skin friction coefficient Nu Nusselt number f ′ Dimensionless velocity (-). Greek symbols ( c)p Effective heat capacity of nanoparticles m2s−2K −1 f Density kgm−3 0 Applied magnetic field A.m−1 Velocity slip parameter f Dynamic viscosity kgm−1s−1 Kinematic viscosity m2s−1 Temperature difference parameter Electrical conductivity (Ωm)−1 Similarity variable Fluid temperature (dimensionless) Fluid concentration (dimensionless) Concentration slip parameter Fluid temperature (dimensionless) Temperature difference parameter Motile microorganisms slip parameter 1 Chemical reaction parameter Thermal slip parameter Casson fluid parameter Fluid concentration (dimensionless) Ω1 Bioconvection concentration difference factor

Introduction
Problem formulation
Physical quantities of interest
Solution by HAM
Velocity profile
Motile micro‐organism profile
Table discussions
Conclusions
Full Text
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