Some Problems On Convective Boundary Layer Flow of Non_Newtonian Fluids Over a Stretching Sheet

Abstract

This thesis gives a thorough investigation into the convective heat transfer analysis of newlineviscous, incompressible fluids over a non-linear stretched sheet with a transverse magnetic field newlineapplied. The research is on non-Newtonian fluids, such as the tangent hyperbolic fluid model, newlinePowell-Eyring fluid model, Williamson fluid model and the Casson fluid model, and how they newlinebehave when combined with nanoparticles to generate nanofluids. The interaction of these fluids newlinewith the magnetic field adds complexity, which is significant for a variety of industrial and newlinetechnical applications, including polymer processing and cooling technology. newlineIn order to quantitatively characterize the processes of heat transfer and fluid flow, partial newlinedifferential equations are used. These equations govern the behavior of momentum and thermal newlineboundary layers. The equations, together with the relevant boundary conditions, are changed into newlinea system of non-dimensional coupled non-linear ordinary differential equations; this is newlineaccomplished by the use of similarity transformations. This technique simplifies the problem while newlinealso providing deeper insights into fluid dynamics and heat transport processes. newlineThe boundary conditions considered in this study are relevant for practical applications, newlineincluding both prescribed surface temperature and convective heating scenarios. Following the newlineformulation of the system of equations, the non-linear ordinary differential equations that are newlineproduced are then numerically solved by using the Runge-Kutta-Fehlberg (RKF) technique, which newlineis well acknowledged for its accuracy and efficiency in dealing with problems of this kind. The newlinestudy looks at how various flow-controlling parameters, such as the porous parameter, chemical newlinereaction parameter, magnetic parameter, nonlinear parameter, Brownian motion, thermophoresis, newlinethermal radiation parameter, Lewis and Prandtl numbers, affect the velocities of the fluid flow, as well as the temperature distributions.