Abstract

A numerical study is carried out for two dimensional steady incompressible mixed convective flow of electrically conductive micro nanofluid in a stretchable channel. The flow is generated due to the stretching walls of the channel immersed in a porous medium. The magnetic field is applied perpendicular to the walls. The impact of radiation, viscous dissipation, thermophoretic and Brownian motion of nanoparticles appear in the energy equation. A numerical technique based on Runge-Kutta-Fehlberg fourth-fifth order (RFK45) method is used to express the solutions of velocity, microrotation, temperature and concentration fields. The dimensionless physical parameters are discussed both in tabular and graphical forms. The results are also found in a good agreement with previously published literature work.

Highlights

  • The fluid flow in a channel has abundant practical applications in industry for mathematical and engineering point of view.[1,2,3,4,5] Especially those fluids in which the shear stresses are not linear proportional to the velocity gradient are characterized as non-Newtonian fluids are of much interest among the researchers

  • The flow of micropolar fluid in a channel embedded in porous medium with heat generation, radiation and mass transfer effects was investigated by Eldabe et al.[12]

  • Our main motive is to understand the effects of mixed convective nanoparticles on heat and mass transfer rate

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Summary

Introduction

The fluid flow in a channel has abundant practical applications in industry for mathematical and engineering point of view.[1,2,3,4,5] Especially those fluids in which the shear stresses are not linear proportional to the velocity gradient are characterized as non-Newtonian fluids are of much interest among the researchers. Chamkha et al.[9] presented numerical and analytical solutions for the problem of mixed convection steady laminar incompressible fully developed flow of micropolar fluid between two vertical plates with asymmetric heating. Si et al.[11] employed homotopy analysis method (HAM) to obtain the series solution of the problem of micropolar fluid in a channel with heat and mass transfer effects. The flow of micropolar fluid in a channel embedded in porous medium with heat generation, radiation and mass transfer effects was investigated by Eldabe et al.[12] Ali and Ashraf[13] analyzed numerical problem of MHD flow of micropolar fluid in a channel with heat transfer characteristics. Prakash and Muthtamilselvan[14] implemented Crank-Nicolson finite difference scheme to solve numerical

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