Abstract

The present article is about the study of Darcy-Forchheimer flow of Maxwell nanofluid over a linear stretching surface. Effects like variable thermal conductivity, activation energy, nonlinear thermal radiation is also incorporated for the analysis of heat and mass transfer. The governing nonlinear partial differential equations (PDEs) with convective boundary conditions are first converted into the nonlinear ordinary differential equations (ODEs) with the help of similarity transformation, and then the resulting nonlinear ODEs are solved with the help of shooting method and MATLAB built-in bvp4c solver. The impact of different physical parameters like Brownian motion, thermophoresis parameter, Reynolds number, magnetic parameter, nonlinear radiative heat flux, Prandtl number, Lewis number, reaction rate constant, activation energy and Biot number on Nusselt number, velocity, temperature and concentration profile has been discussed. It is viewed that both thermophoresis parameter and activation energy parameter has ascending effect on the concentration profile.

Highlights

  • Type of material having pores is called porous media, where the pores are usually filled with fluid

  • With reference to the literature discussed above, the task in this paper is to investigate the MHD Maxwell nanofluid through Darcy-Forchheimer porous medium in the presence of the convective boundary condition and zero mass flux condition with the assumption of activation energy. nonlinear thermal radiation and variable thermal conductivity

  • To the best of our knowledge, the Darcy-Forchheimer flow of Maxwell nanofluid over a linear stretching surface with variable thermal conductivity, radiative heat flux and activation energy has not been investigated yet

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Summary

INTRODUCTION

Type of material having pores is called porous media, where the pores are usually filled with fluid. Recent work of Muhammad et al.[10] on the Darcy-Forchheimer Maxwell nanofluid subjected to the convective and zero mass flux boundary conditions over a stretching sheet, using porous media, lead to the fact that, by enhancing the value of porosity parameter results in an increase of the temperature and nanoparticle concentration profile. After that Abdul Maleque[42] studied the effect of activation energy on an unsteady free convective flow of heat and mass transfer He noticed that the velocity profile increases by increasing the value of the Greshof number. With reference to the literature discussed above, the task in this paper is to investigate the MHD Maxwell nanofluid through Darcy-Forchheimer porous medium in the presence of the convective boundary condition and zero mass flux condition with the assumption of activation energy. To the best of our knowledge, the Darcy-Forchheimer flow of Maxwell nanofluid over a linear stretching surface with variable thermal conductivity, radiative heat flux and activation energy has not been investigated yet

MATHEMATICAL FORMULATION
SOLUTION METHODOLOGY
RESULTS AND DISCUSSIONS
FINAL REMARKS
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