Magnetohydrodynamic (MHD) stretched flow of nanofluid with power-law velocity and chemical reaction

Tasawar Hayat,Ahmed Alsaedi,Madiha Rashid,Maria Imtiaz

doi:10.1063/1.4935649

Tasawar Hayat, Ahmed Alsaedi + Show 2 more

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https://doi.org/10.1063/1.4935649

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Abstract

This paper deals with the boundary layer flow of nanofluid over power-law stretched surface. Analysis has been carried out in the presence of applied magnetic field and chemical reaction. Heat and mass transfer characteristics are studied using heat and mass convective conditions. The governing partial differential equations are transferred to the nonlinear ordinary differential equations. Convergent series solutions are obtained for fluid velocity, temperature and concentrations fields. Influences of pertinent parameters including Hartman number, thermal and concentration Biot numbers and chemical reaction parameters are discussed on the velocity, temperature and concentration profiles. Graphical result are presented and discussed. Computations for local Nusselt and Sherwood numbers are carried out. It is observed that the heat transfer rate is enhanced by increasing power-law index, thermal Biot number and chemical reaction parameter while mass transfer rate increases for power-law index and chemical reaction parameter.

Highlights

Nanofluids are the engineering colloidal suspensions of nano-sized particles in traditional heat transfer fluids like water, oil and ethylene glycol
Influences of pertinent parameters including Hartman number, thermal and concentration Biot numbers and chemical reaction parameters are discussed on the velocity, temperature and concentration profiles
It is observed that the heat transfer rate is enhanced by increasing power-law index, thermal Biot number and chemical reaction parameter while mass transfer rate increases for power-law index and chemical reaction parameter

Summary

INTRODUCTION

Nanofluids are the engineering colloidal suspensions of nano-sized particles in traditional heat transfer fluids like water, oil and ethylene glycol. The effects of chemical reaction and magnetic field in flow of couple stress fluid over a non-linearly stretching sheet is examined by Khan et al.[23] Heat and mass transfer in MHD flow of nanofluid with chemical reaction effects is studied by Srikanth et al.[24] MHD stagnation point flow and heat transfer impinging on stretching sheet with chemical reaction and transpiration have been analyzed by Mabood et al.[25] In this problem MHD flow with heat and mass transfer of a nanofluid over a power-law stretching surface in the presence of chemical reaction with convective heat and mass transfer boundary condition is examined. We hope that this study will leads to further investigation by different researchers into various flow geometries and different flow models

PROBLEM DEVELOPMENT

SOLUTIONS DERIVATION

Mth ORDER DEFORMATION PROBLEMS

CONCLUDING REMARKS