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

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.

Insight into the heat transfer across the dynamics of Carreau fluid subject to inclined Lorentz force conveying tiny particles and motile gyrotactic microorganisms: The case of stratification

“…Carreau nanoliquid featuring continuity equation, momentum equation, energy transfer, concentration, and motile microorganism equations are communicated by Alsaedi et al, 45 Al-Khaled et al, 46 and Muntazir et al 47 as…”

“…The sheet stretches with a velocity $$u={U}_{{\rm{w}}}=ax$$, where $$a\gt 0$$ is the stretching constant, a uniform external magnetic field $${B}_{{\rm{o}}}$$ is inclined to the flow direction while the induced magnetic field is ignored due to sufficiently low magnetic Reynolds number, stratification effects, nonlinear radiative heat flux together with exponential space‐based heat source are incorporated. With these assumptions together with the Oberbeck–Boussinesq and boundary layer approximations, the formulated governing equations for magnetohydrodynamic Carreau nanoliquid featuring continuity equation, momentum equation, energy transfer, concentration, and motile microorganism equations are communicated by Alsaedi et al, 45 Al‐Khaled et al, 46 and Muntazir et al 47 as $$$\frac{\partial u}{\partial x}+\frac{\partial v}{\partial y}=0,$$$ …”

Activation Energy Impact on Flow of AA7072-AA7075/Water-Based Hybrid Nanofluid through a Cone, Wedge and Plate

“…The effect of suction/injection on Williamson liquid flow via a cone and wedge was elucidated by Dawar et al [13]. The influence of Gyrotactic Microorganisms on Carreau fluid flow via a cone and wedge was explained by Muntazir et al [14].…”

Heat and mass transfer of unsteady mixed convection flow of Casson fluid within the porous media under the influence of magnetic field over a nonlinear stretching sheet

“…22,23 They also studied the numerical investigation of MHD flow with carreau nanofluid within microorganisms covering three different geometries by considering brownian motion with different cases. 24 By using the big concept of nanofluids the researcher used it in the formation of MHD power generators, petroleum reservoirs, vehicle transformers and in the treatment of cancer therapy processes. So, the discovery of the nanofluids opens a lot of ways of research for the researcher and scientists.…”