Computational approach on three-dimensional flow of couple-stress fluid with convective boundary conditions

Abstract

This investigation is concerned with the heat transfer analysis in a realistic three-dimensional flow of a couple-stress fluid. Convective boundary conditions have been adopted in the mathematical formulation keeping in view the physical consequences and detail examination of corresponding parameters. The boundary layer analysis has been invoked for simplification of the highly nonlinear system of differential equations. Afterward the governing system of partial differential equations are transformed into coupled nonlinear ordinary differential equations by appropriate set of transformations. The resulting system of differential equations are eventually solved for the series solutions employing HAM technique. Effects of various embedding parameters on the flow and heat transfer are discussed. It was found that couple stress parameter results in decay of velocity profile. While the heat transfer rate increases by increasing Biot number. Detailed comparison of the results are provided with already published data for limited cases. The new findings are in excellent agreement with the existing literature. Finally, the local Nusselt number and other physical quantities are analyzed for various pertinent parameters.