Abstract
The current study aims to probe the impacts of entropy in a hydromagnetic unsteady slip flow of viscous fluid past an exponentially stretching sheet. Appurtenant similarity variables are employed to transmute the governing partial differential equations into a system of non-linear differential equations, which are analytically solved by utilizing the homotopy analysis method (HAM). Moreover, a shooting technique with fourth–fifth order Runge–Kutta method is deployed to numerically solve the problem. The impact of the physical parameters that influence the flow and heat transmission phenomena are sketched, tabulated and discussed briefly. Additionally, the impact of these parameters on entropy generation is thoroughly discussed by plotting graphs of the local entropy generation number and the Bejan number.
Highlights
The analytical solution for a boundary layer flow problem over a linearly stretching sheet was explored by Crane [1]
That were obtained by the homotopy analysis method (HAM) and the shooting method in the current study were in excellent agreement with the literature
It was observed that the resistive force reduced the exponentially stretching sheet were explored
Summary
The analytical solution for a boundary layer flow problem over a linearly stretching sheet was explored by Crane [1]. Numerous studies have been carried out on this topic [2,3,4,5] Such investigations have many diverse applications in crystal growth, polymer extrusion, the spinning of fibers, condensation process, metallic sheet cooling, etc. There may be cases where the sheet may stretch with an exponential order. Motivated by this idea, Magyari and Keller [6] investigated the flow and heat transmission of a Newtonian fluid over an exponentially stretching sheet with an exponential temperature distribution. Elbashbeshy [7] discussed the characteristics of the heat transmission of viscous fluid over a permeable exponentially stretching sheet and attained similarity solutions
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