Abstract

The main intention of this article is to examine the heat transmission of the flow of Eyring–Powell fluid over an unstable oscillatory porous stretching surface. The effect of thermal radiation on the fluid flow is investigated, where the flow is actuated by the unbounded flexible surface which is extended occasionally to and fro on its plane. The rudimentary leading equations are changed to differential equations through the use of applicable similarity variables. An optimal and numerical approach was used to find the solution to the modeled problems. The convergence of the homotopy analysis method (HAM) is shown numerically. The homotopy analysis method predictions of the structures formed are in close agreement with the obtained results from the numerical method. Comparisons between HAM and numerical methods are shown graphically as well as numerically. The convergence of this method is shown numerically. The impacts of the skin friction and heat flux are shown through a table. The influence of the porosity, oscillation, thermal radiation, and heat absorption/generation are the main focus of this work. The consequences of emerging parameters are demonstrated through graphs.

Highlights

  • Boundary layer fluid flow problems in different dimensions through a stretching sheet with heat transfer and magnetohydrodynamic effects have plentiful and inclusive applications in several engineering and industrial sectors

  • Rashdi et al [8,9] studied entropy generation in magneto hydrodynamic Eyring–Powell fluid and Carreau nanofluid through a permeable stretching surface

  • Results and Discussion we present the special effects of the concerned parameters graphically

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Summary

Introduction

Boundary layer fluid flow problems in different dimensions through a stretching sheet with heat transfer and magnetohydrodynamic effects have plentiful and inclusive applications in several engineering and industrial sectors. They include glass blowing melt spinning, heat exchanger design, fiber and wire coating, production of glass fibers, industrialization of rubber and plastic sheets, etc. In investigations of all these applications, many investigators deliberate the flow of different fluid models over a stretching sheet. The impact of heat transmission on second-grade fluid over a stretching sheet was explored by Cortell et al [6]. Hayat et al [10,11,12,13] studied boundary layer flow using different phenomena

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