Convective Heat Transfer in Magneto-Hydrodynamic Carreau Fluid with Temperature Dependent Viscosity and Thermal Conductivity

This study is aimed to explore the magneto-hydrodynamic Carreau fluid flow over a stretching/shrinking surface with a convectively heated boundary. Temperature-dependent variable thermophysical properties are utilized to formulate the problem. The flow governing equations are obtained with boundary layer approximation and constitutive relation of the Carreau fluid. The shooting method is utilized to obtain graphical and numeric outcomes. Additionally, initial guesses are generated with the help of Newton's method. The effect of Weissenberg number, Magnetization, stretching ratio, Prandtl number, suction/blowing parameter, and Lewis number is obtained on velocity, temperature and species continuity profile and analyzed. Shear stress rates and Nusselt number outcomes under body forces influences are present in tabulated data and discussed. It is observed that in absence of magnetization force, B = 0 and strong mass suction 5 <= S <= 7.5 effect high rates of Nusselt number is obtained. It is concluded that under the influence of power law index and non-linearity parameter maximum heat transfer and reduced shear stress rates are obtained.

Automated summary

This study investigates the flow and heat transfer characteristics of a magneto-hydrodynamic Carreau fluid over a stretching/shrinking surface. The temperature-dependent thermophysical properties are taken into account in the mathematical model, and the effects of various parameters on the flow and heat transfer are analyzed. The results show that parameters such as magnetization, stretching ratio, and Prandtl number have significant influences on the flow and heat transfer. This study provides valuable insights into the understanding of fluid flow and heat transfer phenomena in this type of fluid.