A NUMERICAL ANALYSIS OF THE FLOW AND HEAT TRANSFER CHARACTERISTICS OF EYRING \\POWELL FLUID WITH MIXED CONVECTION OVER A STRATIFIED SHEET

CONVECTION ON THE FLOW AND HEAT TRANSFER

Abstract

This article explores the importance of mixed convection in the analysis of heat transfer within fluid flow, which holds significant relevance in the fields of hydrodynamics and engineering. The focus of this study is to investigate the impact of mixed convection on heat transfer and to assess the significance of heat generation and absorption in the flow of an Eyring Powell fluid. The fluid being examined is assumed to possess properties such as viscosity, incompressibility, two-dimensionality, and laminar behavior. To facilitate the analysis, the governing system of partial differential equations (PDEs) that describes the flow is transformed into a system of nonlinear ordinary differential equations (ODEs) using an appropriate similarity transformation. These nonlinear equations are then numerically solved utilizing Maple software. The article discusses the effects of various relevant parameters on both the velocity and temperature profiles through graphical representations. Additionally, the skin friction coefficient and Nusselt number, which characterize the flow, are examined using graphs and tables. The results indicate that an increase in the mixed convection parameter leads to a reduction in skin friction, which in turn results in an increase in the velocity profile. Similarly, a similar trend is observed for the heat absorption and generation parameter.