Influence of Bioconvection and Chemical Reaction on Magneto—Carreau Nanofluid Flow through an Inclined Cylinder

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.

Transient heat transfer and electro-osmotic flow of Carreau–Yasuda non-Newtonian fluid through a rectangular microchannel

“…Few staple investigations on different non-Newtonian fluid models can be seen in Das and Chakraborty (2006), Zhao et al (2008), Zhao and Yang (2011), Zhao and Yang (2012), Zhao and Yang (2013b), Berli and Olivares (2008), Berli (2010), Turkyilmazoglu (2022), Othman et al (2019), Riaz et al (2021a), Zhang et al (2021), Goodarzi et al (2020), Turkyilmazoglu (2019), Saffarian et al (2020), Ellahi et al (2019), Awan et al (2022), Ellahi (2013) and Elelamy et al (2020); however, a hybrid model for non-Newtonian fluids in the said studies is more general form of the Carreau non-Newtonian model. At low and intermediate shear rate, a Carreau fluid behaves as a Newtonian and power law fluid, respectively (Alqarni et al , 2022; Riaz and Sadiq, 2020; Nabwey et al , 2022a; Jalali et al , 2020). Compared to Newtonian fluids, Carreau hybrid model contains five extra parameters.…”

Significance of Hall current and viscous dissipation in the bioconvection flow of couple-stress nanofluid with generalized Fourier and Fick laws

“…From their conclusions, they observed that the liquid velocity becomes lower for a larger viscosity parameter. Nabwey et al 2 have offered the effect of non-Newtonian liquid flow with motile microorganisms by using the bvp4c technique over an inclined stretching cylinder. In this evaluation, it is detected that the increment in curvature parameter, enhanced the value of absolute drag force.…”

Applications of variable thermal properties in Carreau material with ion slip and Hall forces towards cone using a non-Fourier approach via FE-method and mesh-free study

“…Sohail et al (2022) studied three kinds of mass species in Carreau liquid in the presence of activation energy over a stretching plate. Nabwey et al (2022) investigated the thermal aspects of Carreau nanofluid taking into account the chemical species and bioconvection in a cylinder. Reedy et al (2022) discussed a model for a Carreau fluid including entropy generation over a heated microchannel.…”