A Numerical Study of MHD Carreau Nanofluid Flow with Gyrotactic Microorganisms over a Plate, Wedge, and Stagnation Point

R M Akram Muntazir,K Jabeen,M Mushtaq,Ali Ahmadian

doi:10.1155/2021/5520780

Abstract

This article addresses the numerical exploration of steady and 2D flow of MHD Carreau nanofluid filled with motile microorganisms over three different geometries, i.e., plate, wedge, and stagnation point of a flat plate. The influence of magnetic field, viscous dissipation, thermophoresis, and Brownian motion is considered for both cases, i.e., shear thinning and shear thickening. A set of relevant similarity transformations are utilized to obtain dimensionless form of governing coupled nonlinear partial differential equations (PDEs). The transformed system of ordinary differential equations (ODEs) is then numerically solved by bvp4c via MATLAB based on shooting technique and Runge–Kutta–Fehlberg (RKF) scheme via MAPLE. Also, a numerical analysis has been made for skin friction factor, heat, and mass transfer rates. Results elucidate that all the profiles except velocity show decreasing behavior for higher values of magnetic field parameter. Among all three flow geometries for both shear thinning and shear thickening cases, the flow over a plate has lesser skin friction factor. The nanoparticle concentration and density of motile microorganism decrease in both the shear thinning and shear thickening cases, for increasing values of Brownian motion (Nb), but reverse trend is observed for rising values of thermophoresis parameter (Nt). Furthermore, it is observed that, as we increase the values of suction/injection parameter (S), the velocity of fluid increases but decreases the fluid temperature, concentration of mass and density of motile organisms over a plate, wedge, and stagnation point of a flat plate. Also, we observed that shear thinning nanofluid has higher rate of heat, mass, and motile microorganisms mass transfers than shear thickening fluid. Both shear thinning and thickening nanofluid have a low rate of heat/mass and gyrotactic microorganisms mass transfer over plate among wedge and stagnation point flow.

Highlights

Academic Editor: Ali Ahmadian is article addresses the numerical exploration of steady and 2D flow of MHD Carreau nanofluid filled with motile microorganisms over three different geometries, i.e., plate, wedge, and stagnation point of a flat plate. e influence of magnetic field, viscous dissipation, thermophoresis, and Brownian motion is considered for both cases, i.e., shear thinning and shear thickening
The problem is formulated upon the following assumptions: (i) e MHD Carreau nanofluid flow filled with gyrotactic microorganisms is steady, laminar, and incompressible (ii) Flow has no slip behavior (iii) No body force is considered in the momentum equation (iv) On surface, suction/injection can happen (v) e famous Buongiorno nanofluid model is considered to investigate the Nanofluid features, i.e., Brownian and thermophoresis movement (vi) e modeled equations for the abovementioned flow problem are numerically handled by imposing RKF and bvp4c e fluid transport system, containing the gyrotactic microorganisms, nanoparticles concentration, momentum, and energy equations, is expressed as follows: zu zv
A numerical investigation on MHD Carreau nanofluid flow comprising gyrotactic microorganisms over a wedge/plate/stagnation point of the plate is performed under the influence of suction/injection, viscous dissipation, Brownian, and thermophoresis motion. e results are carried out by utilizing the bvp4c and RKF techniques

Summary

Research Article

A Numerical Study of MHD Carreau Nanofluid Flow with Gyrotactic Microorganisms over a Plate, Wedge, and Stagnation Point. Kotha [40] employed magnetohydrodynamics and heat and mass transfer sensations assuming the gyrotactic microorganisms in a water based nanofluid suspension in a vertical manner of a plane that comes out in form of partial differential fundamental equations, that are transformed using similarity possessions and turn into non-linear ODEs. Few works associated with bioconvection Carreau nanofluid over a wedge/plate/stagnation of the plate can be seen in [41,42,43,44,45,46,47,48,49,50]. E present survey explores the impacts of shear-thinning/shear-thickening characteristics of Carreau nanofluid filled with gyrotactic microorganisms over three different geometries, i.e., (i) flat plate, (ii) over a wedge, and (iii) at stagnation point in the presence of magnetic field, suction/. (i) e MHD Carreau nanofluid flow filled with gyrotactic microorganisms is steady, laminar, and incompressible (ii) Flow has no slip behavior (iii) No body force is considered in the momentum equation (iv) On surface, suction/injection can happen (v) e famous Buongiorno nanofluid model is considered to investigate the Nanofluid features, i.e., Brownian and thermophoresis movement (vi) e modeled equations for the abovementioned flow problem are numerically handled by imposing RKF and bvp4c e fluid transport system, containing the gyrotactic microorganisms, nanoparticles concentration, momentum, and energy equations, is expressed as follows: zu zv

Tw Cw Nw x

Results and Discussion

Conclusion