Significance of Weissenberg Number, Soret Effect and Multiple Slips on the Dynamic of Biconvective Magnetohydrodynamic Carreau Nanofuid Flow

Abstract

This study focused on the analysis of two-dimensional incompressible magnetohydrodynamic Carreau nanofluid flow across a stretching cylinder containing microorganisms with the impacts of chemical reactions and multiple slip boundary conditions. Moreover, the main objective is concerned with the enhancement of thermal transportation with the effect of heat source and bioconvection. By assigning pertinent similarity transitions to the governing partial differential equations, a series of equations (ODES) is generated. An optimum computational solver, namely the bvp5c software package, is utilized for numerical estimations. The impact of distinct parameters on thermal expansion, thermophoresis, and the Nusselt number has been emphasized, employing tables, diagrams, and surface maps for both shear thinning (n < 1) and shear thickening (n > 1) instances. Motile concentration profiles decrease with Lb and the motile microorganism density slip parameter. It is observed that with increasing values of Pr, both the boundary layer thickness and temperature declined in both cases. The Weissenberg number demonstrates a different nature depending on the type of fluid; skin friction, the velocity profile and Nusselt number drop when n < 1 and increase when n > 1. The two- and three-dimensional graphs show the simultaneous effect of involving parameters with physical quantities. The accuracy of the existing observations is evidenced by the impressive resemblance between the contemporary and preceding remedies.

Magnetohydrodynamic and Thermal Performance of Electrically Conducting Fluid along the Symmetrical and Vertical Magnetic Plate with Thermal Slip and Velocity Slip Effects

“…Using computational modeling, Kan et al [35] used the entropy generating strategy to evaluate the impact of TLF on the PAT's thermal performance. The consequences of chemical processes and numerous slip conditions on the computation of multiple inviscid hydromagnetic nanofluid through a stretchy cylinder containing microorganisms have been covered in [36]. Ullah et al [37] have addressed the thermal study of heat transfer of viscous flow field with temperature slip and heat radiating effects along the vertically symmetrical plane surface immersed inside a permeable medium.…”

Non-similar approach on the MHD Carreau nanofluid flow with quadratic radiation and Soret-Dufour effects

“…Utilizing Buongiorno's mathematical model for nanofluids, Roşca et al [40] investigated the effects of a number of characteristics, including the suction, curvature, and stretching/shrinking parameters. Kumar et al [41] investigated the influence of chemical reactions and various slip boundary conditions on the flow behaviour of a 2D incompressible magnetohydrodynamic (MHD) Carreau nanofluid around a stretching cylinder that contains microorganisms. When compared to the porous stretching sheet, the stretching porous cylinder delivers a higher value of skin friction coefficient, temperature, velocity, and rate of heat transfer.…”