Nonlinear radiation effect on MHD Carreau nanofluid flow over a radially stretching surface with zero mass flux at the surface

Abstract

A mathematical model is envisaged to study the axisymmetric steady magnetohydrodynamic (MHD) Carreau nanofluid flow under the influence of nonlinear thermal radiation and chemical reaction past a radially stretched surface. Impact of heat generation/absorption with newly introduced zero mass flux condition of nanoparticles at the sheet is an added feature towards novelty of the problem. Further, for nanofluid the most recently organized model namely Buongiorno’s model is assumed that comprises the effects thermophoresis and Brownian motion. Utilizing suitable self-similar transformations, the set of partial differential equations with high nonlinearity are converted into a dimensionless system of ordinary differential equations. Set of these transmuted equations are numerically solved by MATLAB built-in function bvp4c. Impact of germane parameters on all involved profiles are plotted to examine the heat and mass transfer characteristics. This study reveals that the temperature distribution is an escalating function of the heat generation and nonlinear radiation parameters. Also, it is noted that the incrementing values of chemical reaction parameter lowers the nanoparticles concentration profile. A comparison of the present investigation with already published explorations in limiting case is also added to authenticate the presented results; hence reliable results are being presented.

On the Stability of MHD Boundary Layer Flow over a Stretching/Shrinking Wedge

“… 9 , 10 , Lu et al . 11 , etc. Dual solutions were found for the unsteady flow over a shrinking sheet by Soid et al .…”

Numerical Study for the Effects of Temperature Dependent Viscosity Flow of Non-Newtonian Fluid with Double Stratification

“…During melting and freezing the of the thermal features of n-hexadecane containing inverse micelles of volume fractions was studied by Philip et al [22]. Lu et al [23] evaluated the combined effects of non-linear radiation and zero mass flux surface on the axisymmetric steady carreau nano-fluid induced by a radially stretching sheet.…”

Passive control nanoparticles in double‐diffusive free convection nanofluid flow over an inclined permeable plate

“…Shahid et al demonstrated analytically (STSLM) the aftermath of magnetohydrodynamics (MHD) nanofluid drift holding microorganisms over a stretching surface. A mathematical rendition was provided by Lu et al to observe the steady MHD Carreau nanofluid drift under the conditions of chemical reaction and thermal radiation passed over a radically elongated regime. The outcome of double stratification on three‐dimensional (3D) convective nanoliquid drift over a stretchable (nonlinear) sheet was studied by Jagan et al via a perturbation mechanism, the effectiveness of the Dufour effect on a Casson nanoliquid was sinterrogated by Samrat et al Shojaei et al analytically discussed the Dufour and Soret effect on second‐grade non‐Newtonian fluid flow over a stretching cylinder.…”