Heat Transfer Characteristics of Sisko Fluid in the presence of Convective Boundary Conditions

Abstract

Research in the thermo-fluid mechanics is crucial as it covers wide range of fundamental applied research areas. More specifically, it is a key to the understanding and development of a variety of engineering systems. Accordingly, this thesis develops a more intuitive understanding of heat , transfer mechanism for the boundary layer flows involving non-Newtonian fluids. Therefore, this thesis is predominantly focused on the theoretical analysis of the heat transfer phenomenon in the Sisko fluid flow while convective boundary..conditions are considered. It is noteworthy, that the Sisko fluid is one of the Generalized Newtonian Fluids (GNF) or a purely viscous fluid which exhibits the properties of shear thinning and shear thickening fluids for the power law and upper Newtonian regions. This study is concerned with analyzing the steady boundary layer flows and heat transfer characteristics to the Sisko fluid over moving surfaces and considers a variety of problems of practical interest. The problems include, the forced and mixed convective heat transfer over planer and radially stretching sheet, the forced convective heat transfer over a cylinder assuming different situations e.g., stagnation-point flow, nanofluid, homogeneous and heterogeneous reactions. The modeled governing partial differential equations are transformed into the ordinary differential by using appropriate transformations. Due to evolution of the efficient computing, it is somewhat possible to calculate numerical and analytical solutions of the problems under consideration. In this work, a comprehensive study has been done and the shooting technique is used along with the Runge-Kutta method to conduct numerical simulations whereas, the homotopy analysis method is employed to obtain the analytical results. In some special cases, the exact solutions are also fabricated and compared with the obtained approximate solutions to affirm their validity. Additionally,.