Abstract

The behavior of convective boundary conditions is studied to delineate their role in heat and mass relegation in the presence of radiation, chemical reaction, and hydro-magnetic forces in three-dimensional Powell–Eyring nanofluids. Implications concerning non-Fourier’s heat flux and non-Fick’s mass flux with respect to temperature nanoparticle concentration were examined to discuss the graphical attributes of the principal parameters. An efficient optimal homotopy analysis method is used to solve the transformed partial differential equations. Tables and graphs are physically interpreted for significant parameters.

Highlights

  • Most of the fluid mechanics problems tacitly assume that the fluid is obeying the Fourier law [1] for heat transfer and Fick’s law for mass transfer

  • The frailty that heat disruption will be perceived immediately at other points of the medium is that attribute of Fourier constitutive law which ignores the principle of determinism in continuum mechanics

  • Hayat et al [19] presented results for the axisymmetric radial flow of [12] over an impermeable stretching surface and the heat transfer process was analyzed through convective boundary conditions

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Summary

Introduction

Most of the fluid mechanics problems tacitly assume that the fluid is obeying the Fourier law [1] for heat transfer and Fick’s law for mass transfer. Hayat et al [19] presented results for the axisymmetric radial flow of [12] over an impermeable stretching surface and the heat transfer process was analyzed through convective boundary conditions. Ibrahim [20] proposed the numerical solution for the rotating EP fluid flow in three dimensions with theory [3]. Siva and Govindarajan [26] documented the peristaltic transport under the influence of Soret effect and thermal radiation of hydromagnetic Newtonian fluid. Literature motivated us to target the analytical solutions of three-dimensional rotating EP fluid inclusive of MHD, radiation effects, and convective boundary conditions with [3]. Skin friction, Nusselt number, and Sherwood numbers are tabulated numerically

Mathematical Formulation
Method of Solution
Effect of Parameters on Powell–Eyring Fluid Flow
Effects of Parameters on Temperature and Concentration
14. Temperature for variant
Conclusions
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