Abstract

This research work interprets the influences of magnetic dipole over a radiative Eyring–Powell fluid flow past a stretching sheet while considering the impacts of viscous and ohmic dissipation that produce a quite illustrious effect due to the generated magnetic dipole. This whole analysis is characterized by the effects of steady, laminar, and incompressible flow. The highly nonlinear and coupled partial differential equations (PDEs) are remodeled into a system of nonlinear ordinary differential equations (ODEs) by utilizing reliable and nondimensional parameters leading to the momentum, thermal, and concentration equations, that are computationally solved using b v p 4 c on MATLAB, and “dsolve” command on MAPLE software, in the companionship of boundary conditions. The physical constraints such as viscous and ohmic dissipation and many other sundry parametric effects are sketched with their ultimate effects on fluid flow. For the sustenance of this research with the prior work and in collaboration with the below mentioned literature review, a comprehensive differentiation is given, which defines the sustainability of the current work. The Buongiorno nanoliquid model elaborates the thermophoresis and Brownian features that are deliberately scrutinized within the influence of activation energy. Also, the skin friction coefficient, Nusselt number, and Sherwood number are illustrated in tables. The skin friction coefficient decreases with a rise in the ferromagnetic interaction parameter as well as the Hartmann number, whereas the Nusselt number and Sherwood number show variation for varying parameters. It can be observed that Eyring–Powell fluid intensifies the rate of heat and mass transfer.

Highlights

  • From the past few years, the fluids eventuated as most significant in almost all the engineering applications, industrial, as well as in technological approaches because of their exclusive property of having no fixed shape and a deforming nature due to external pressure

  • A parallel comparison is given for both the methods to demonstrate that bvp4c casts a less computational cost and gives more accuracy of numerical computation. is method is an effective solver, with an approach towards the increasing convergence criteria. e boundary conditions of the boundary value problem (BVP) and the algorithm that is handled in bvp4c typically make it a direct method because the final equation to solve on the defined domain of interval is algebraic

  • When the analytical solution does not exist to solve a system, numerical solution is preferred. is section includes the physical interpretation of physical parameters that cast impact on the flow field by variation. e outcomes of this research work have found a good agreement with the prior published works which indicates the sustainability of the abovementioned research studies

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Summary

Introduction

From the past few years, the fluids eventuated as most significant in almost all the engineering applications, industrial, as well as in technological approaches because of their exclusive property of having no fixed shape and a deforming nature due to external pressure (forces). Javed et al [13] explored his work for the boundary layer (BL) flow using non-Newtonian characterized fluid in the presence activation energy over a stretching sheet. Narayana and Babu [15] explored that how non-Newtonian fluids are influenced by the chemical reaction for a stretching sheet. Related reviews for this analysis are referred [16,17,18,19,20,21] for further knowledge. Our model basically describes the exceptional viscous and ohmic dissipation effects subjected to magnetic dipole of chemically reacting fluid so this research work is quite advantageous in the field of paper production and manufacturing of plastic. Local similarity transformations with nondimensional expressions are used to transmit the highly nonlinear coupled governing equations into simple ODEs and are resolved. e solutions are extracted on the basis of numerical strategy by using the reliable algorithm of bvp4c on MATLAB and MAPLE dsolve, and the influences of different active parameters on velocity, temperature, and concentration profiles are contemplated, and the outcomes are graphically scrutinized. e perspective solutions are cataloged and tabulated in detail. e present results are compared with published works in open literature and found a good agreement

Constitutive Relations
Results and Discussion
H: Magnetic field
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