Abstract

In this study paper, we examined the magnetohydrodynamic (MHD) flow of three combined fluids, Maxwell, Jeffry, and Oldroyed- B fluids, with variable heat transmission under the influence of thermal radiation embedded in a permeable medium over a time-dependent stretching sheet. The fluid flow of liquid films was assumed in two dimensions. The fundamental leading equations were changed to a set of differential nonlinear and coupled equations. For this conversion, suitable similarity variables were used. An optimal tactic was used to acquire the solution of the modeled problems. The convergence of the technique has been shown numerically. The obtained analytical and numerical consequences are associated graphically and tabulated. An excellent agreement was obtained between the homotropy analysis method (HAM) and numerical methods. The variation of the skin friction and Nusslet number and their influence on the temperature and concentration profiles were scrutinized. The influence of the thermal radiation, unsteadiness effect, and MHD were the main focus of this study. Furthermore, for conception to be physically demonstrated, the entrenched parameters are discussed graphically in detail along with their effect on liquid film flow.

Highlights

  • In the last few years, thin film flow problems have received great attention because of the importance of thin film flows in various technologies

  • A liquid film over a rotating plate with constant angular velocity was analyzed by Dorfman [3]

  • The fundamental leading equations were changed to a set of differential nonlinear equations with the support of appropriate correspondence variables

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Summary

Introduction

In the last few years, thin film flow problems have received great attention because of the importance of thin film flows in various technologies. The investigation of thin film flow has obtained importance by its vast application and uses in engineering, technology, and industries. Fiber undercoat, striating of foodstuff, extrusion of metal and polymer, constant forming, fluidization of the device, elastic sheets drawing, chemical treating tools, and exchanges are several uses. In surveillance of these applications, researchers have paid attention to cultivating the examination of liquid film on stretching surface. During the disk rotating process, they considered the balance between centrifugal and viscous forces They simplified the Navier–Stokes equations and concluded that the film is uniformly maintained with its continuous thinning property. Andersson et al [5]

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