Abstract

The present contribution focuses on heat transmission in the conjugate mixed bioconvection flow of Carreau nanofluid with swimming gyrotactic microorganisms through an inclined stretchable cylinder with variable magnetic field impact and binary chemical reaction. Additionally, the investigation involves the aspects of variable decrease or increase in heat source and non-uniform thermal conductivity. A passively controlled nanofluid pattern is used to estimate this nano-bioconvection flow case, which is believed to be more physically accurate than the earlier actively controlled nanofluid typically employed. One of essential features of this investigation is the imposition of a zero-mass flux condition at the surface of the cylinder. Through the implementation of an appropriate transformation, the nonlinear PDE system is mutated into similar equations. The flow equations thus obtained are solved numerically to explore the influence of the physical constraints involved through implementation with the aid of the MATLAB bvp4c code. The solutions were captured for both zero and non-zero bioconvection Rayleigh number, i.e., for flow with and without microorganisms. The present numerical results are compared with the available data and are determined to be in excellent agreement. The significant result of the present article is that the degree of nanoparticle concentration in the nanofluid exhibits an increasing trend with higher values of activation energy constraint.

Highlights

  • Newtonian liquids can be entirely elaborated on the basis of the impacts of pressure and temperature, but the physical aspects of non-Newtonian liquids take into account the effects of the forces acting on them over time

  • Inspired by the abovementioned literature and applications, the aim of the current paper is to analyze the impact of the activation energy and mixed bioconvection flow of Carreau nanofluid including gyrotactic microorganisms past an oblique slender cylinder

  • Weissenberg number is defined in terms of specific process time and relaxation time, and, with increasing values of relaxation time yields increased resistance between fluid particles, that is, higher Weissenberg numbers result in increased viscosity in the Carreau nanofluid, and the flow fluctuation of the fluid presents a decreasing trend

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Summary

Introduction

Newtonian liquids can be entirely elaborated on the basis of the impacts of pressure and temperature, but the physical aspects of non-Newtonian liquids take into account the effects of the forces acting on them over time. Majeed et al [37] reported Arrhenius activation energy for the Darcy-Forchheimer flow case with a fluid with an external magnetic field past a stretchable sheet, focusing on the chemical reaction and the second-order slip effect. The influence of both the activation energy and the chemical reaction of MHD mixed convectional stagnation point via a stretching plate of Cross nanoliquid was examined by Khan et al [38]. Inspired by the abovementioned literature and applications, the aim of the current paper is to analyze the impact of the activation energy and mixed bioconvection flow of Carreau nanofluid including gyrotactic microorganisms past an oblique slender cylinder. To the best of our knowledge, this problem has not yet been considered

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