NUMERICAL INVESTIGATIONS OF BOUNDARY LAYER FLOWS AND HEAT TRANSFER OF CROSS FLUID

Abstract

During the past century, rheology has emerged as a new science which deals with the deformation of the matter. Metal spinning, wire drawing, polymer extrusion, blood circulation, food industry, and pressure-sensitive adhesion, etc are a few of the potential application areas. Now in most of these applications materials are Non-Newtonian and involve rotation, extrusion, and heat exchange. Therefore, understanding the rheology is critically important in order to improve the quality of product development, methodology, and resource utilization. The goal of this research is to present the boundary layer equations for fluid flow and heat transfer of cross fluid over a moving flat plate. The job is further expanded to cover a stretched surface with the rotating stream of cross fluid. The systems of governing partial differential equations are converted into highly non-linear ordinary differential equations by introducing appropriate similarity transformations. By using the bvp4c process, the governing ODEs are solved numerically, and the influence of the related parameters of practical importance such as skin friction coefficient and Nusselt number are calculated. The momentum boundary layer demonstrates the elevation impact of the growing local Weissenberg number. The contrary phenomenon for the thermal boundary layer was found. The temperature function has an exceptional S-shaped profile indicating the existence of an adiabatic case for the large enough wall to ambient temperature ratio. Velocity fields and the structures of the momentum boundary layer demonstrated the same enhancement tendency for the rising Weissenberg number.