Induced MHD impact on exponentially varying viscosity of Williamson fluid flow with variable conductivity and diffusivity

Abstract

In this study, we assumed a thermal energy system with variable controlling properties which effect the entire system. One of the best applications of thermal energy system is heat exchanger. A good heat exchanger is a big challenge over the past years, due to enlarged public request on improving energy efficiency and decreasing energy. Normally, heat exchangers are used in the transmission of heat between two or more fluids [46]. Furthermore, the analysis of MHD flow of an electrically conducting fluid due to the thermal system is significant in current metallurgy and metal-working methods. Due to large amount of applications, variable thermo-physical properties of induced magnetic field in Williamson fluid flow is studied. The achieved system is partial differential, which is converted into ordinary differential equations by using the transformations. Then the attained system is solved by using shooting method. The thermal extrusion system contains velocity, concentration, and temperature fields. The associated controlling parameters contain small parameter, magnetic field, the reciprocal magnetic Prandtl number, variable viscosity parameter, Williamson parameter, small concentration parameter and Schmidt number. The outlined results deliver good thermal impact on entire system for minor and big values of these pertinent parameters. Williamson fluid model is executed to examine the properties of shear thinning fluids. It is noticed that a big reduction is noticed in velocity profile for large values of variable viscosity parameter, Williamson parameter and magnetic parameter. Moreover, the reciprocal magnetic Prandtl number reduces the magnetic profile. The temperature and concentration small parameters show enhanced impact on temperature and concentration profiles. Comparison of present thermal system is considered for limited values of these parameters.