Controlling the convective heat transfer of shear thinning and shear thickening fluids in parallel plates with magnetic force

Abstract The heat transfer analysis from the mixture flow of Carreau fluid in infinite horizontal parallel plates under the impact of the magnetic field is proposed in this theoretical analysis. The flow and heat transfer analysis through parallel plates offers various applications in nuclear reactors, microfluidic devices, lubrication systems, chemical, industrial and biological systems, etc. With motivation of current non-Newtonian fluids (Carrreau fluid) used in industries and chemical engineering, the goal of this research is to develop a mathematical model based on fluid phase and particulate phase to control the temperature of fluid and increase the convective heat transfer in considered non-Newtonian fluids under the suitable range of the physical parameters including magnetic field parameter, Darcy number, Power-law index, slip boundary conditions, volume fraction density and Weissenberg number. The nonlinear mathematical model is established with the contribution of the stress tensor and solved through the perturbation series technique. The computational results are discussed through plots and tables. From the calculated data it is perceived that volume fraction density improved the velocity and temperature distributions. It is also noted that the contribution of the magnetic field declines the flow and thermal field. The slip parameters and Darcy number upsurge the velocity and temperature fields. The comparative analysis between mixture phase flow and simple phase flow is also discussed and observed that the mixture phase flow gives more heat transfer in Carreau fluid as compared to simple phase fluid. The present research will help to understand the basic research of the mixture-phase flow of highly viscous fluid through the porous medium when the uniform magnetic field is applied transversely. Further, applications of the present study are found in medical treatment with wound healing and hyperthermia, heat exchangers, nuclear reactors, etc. This research can also be useful in petroleum industries for cleaning and purifying immiscible oils.