Effect of a Convective Boundary Condition on Boundary Layer Slip Flow and Heat Transfer Over a Stretching Sheet in View of the Exact Solution

Abstract

The exact solutions of a nonlinear differential equations system, describing the boundary layer flow over a stretching sheet with a convective boundary condition and a slip effect have been obtained in this paper. This problem has been numerically solved by using the shooting method in literature. The aim of the current paper is to check the accuracy of these published numerical results. This goal has been achieved via first obtaining the exact solutions of the governing nonlinear differential equations and then, by comparing them with the approximate numerical results reported in literature. The effects of the physical parameters on the flow field and the temperature distribution have been re-investigated through the new exact solutions. The main advantage of the current paper is the simple computational approach that has been introduced to analyze exactly the present physical problem. This simple analytical approach can be further applied to investigate similar problems. Although no remarkable differences have been detected between the current figures and those obtained in literature, the authors believe that if some numerical calculations were available for the fluid velocity and the temperature in literature then the convergence criteria and the accuracy of the shooting method used in Ref. [15] can be validated in view of the current exact expressions.

MHD Carreau nanoliquid flow over a nonlinear stretching surface

“…They achieved a numerical solution using the Keller box technique. Aljoufi and Ebaid 12 recently discovered the precise solutions to a nonlinear set of equations that governs liquid flow across a stretched sheet by convective BCs and slip impacts.…”

Similarity solution for boundary layer flow near a moving vertical porous plate with combined effects of nonlinear thermal radiation and suction/injection having convective surface boundary condition

“…Hassan and Salawu 26 carried out an analysis of buoyancy-driven flow between the parallel vertical passage with convective boundary conditions. Aljoufi and Ebaid 27 explored the implication of using convective boundary conditions on flow physics past a stretching surface. See some related literature in Ref.…”

The role of thermal radiation on the boundary layer past a stationary flat plate with constant surface boundary condition

“…Recently, analysis of boundary layer flow has witnessed global attention because of its various applications in the areas such as separation and attachment in aerodynamics, golf ball aerodynamics, mixing enhancement, heat transfer enhancement etc. Early investigations such as [1]- [6] explored the behaviour of fluid flow on the boundary layer past a vertical/horizontal wall. Furthermore, recent work such as [7]- [10] presented the influence of the active parameters on boundary layer flow considering various geometries.…”