Abstract

The aim of this work is to discuss the effect of mth-order reactions on the magnetic flow of hyperbolic tangent nanofluid through extending surface in a porous material with thermal radiation, several slips, Joule heating, and viscous dissipation. In order to convert non-linear partial differential governing equations into ordinary ones, a technique of similarity transformations has been implemented and then solved using the OHAM (optimal homotopy analytical method). The outcomes of novel effective parameters on the non-dimensional interesting physical quantities are established utilizing the tabular and pictorial outlines. After a comparison with previous literature studies, the results were finely compliant. The study explores that the reduced Nusselt number is diminished for the escalating values of radiation, porosity, and source (sink) parameters. It is found that the order of the chemical reaction m = 2 is dominant in concentration as well as mass transfer in both destructive and generative reactions. When m reinforces for a destructive reaction, mass transfer is reduced with 34.7% and is stabled after η = 3. In the being of the destructive reaction and Joule heating, the nanofluid's temperature is enhanced.

Highlights

  • The aim of this work is to discuss the effect of mth-order reactions on the magnetic flow of hyperbolic tangent nanofluid through extending surface in a porous material with thermal radiation, several slips, Joule heating, and viscous dissipation

  • The cause behind the physical phenomenon is the pores of a porous material that declines the velocities

  • When we look at the destructive reaction (γ > 0), the result is totally reverse and some disturbance in the flow happened

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Summary

Introduction

The aim of this work is to discuss the effect of mth-order reactions on the magnetic flow of hyperbolic tangent nanofluid through extending surface in a porous material with thermal radiation, several slips, Joule heating, and viscous dissipation. Different numerical investigations of heat transfer under various effects of one-phase nanofluids flow are elaborated ­in[11,12,13,14]. Whilst the flow of free convection past a surface in a porous medium is checked by Hady et al.[17,18] of a nanofluid through a cone. They achieved solutions by utilizing MATLAB techniques such as bvp4c or Runge–Kutta method.

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