Effects on high Reynolds number Blasius boundary layer flow over a heated flat plate
Abstract
This paper investigates the high Reynolds number on the Blasius boundary layer flow moving on the flat heated plate with entropy generation. Unlike the classical Blasius solution with constant transport coefficients, the current work includes realistic fluid behavior where viscosity, thermal conductivity, and specific heat vary with temperature. The effects of thermo-physical properties are considered for temperature, momentum and concentration equations. We analyze the solutions for thermo-physical properties of the modified viscous model along with entropy optimization. The similarity transformations were first presented by Blasius; it is utilised for the current modified viscous fluid, temperature, concentration and entropy generation equations in order to convert them into ordinary differential equations. We correctly reformulate the problem and solve the ordinary differential equations using the RK-five Fehlberg integration scheme with the shooting method. We evaluate the mean-flow profiles and discuss the physical aspects in terms of graphs. The results reveal that the temperature and concentration profiles increase for increasing inputs of thermal conductivity and solutal diffusion parameters. The entropy generation within the flow system rises due to the diffusion parameter and Brinkman number. The comparison analysis of results is also performed in this work, and the finding shows the similar trend with the published work. The findings of this study have important applications in both engineering and biological systems, electronic device cooling, including heat exchanger optimization, and polymer processing, as well as biomedical fields such as blood flow analysis in arteries, medical device design, and thermal regulation in human tissues, such as artificial pumps and microfluidic systems.