Abstract

In this study, we explore the unsteady flow of viscous nanofluid driven by an inclined stretching sheet. The novelty of the present study is to account for the effect of a non-uniform heat source/sink in a thermally and solutally stratified magnetonanofluid. Governing system of nonlinear partial differential equations is converted into a system of nonlinear ordinary differential equations. Solution of the transformed system is obtained using RK4 method with shooting technique. It is observed that increase in the values of thermal and mass stratification parameter reduce the velocity profile and increase in the values of variable thermal conductivity parameter and non-uniform heat source/sink parameters enhance the temperature distribution. Moreover, skin friction coefficient, Nusselt number and Sherwood number are discussed. Obtained results are displayed both graphically and in tabular form to illustrate the effect of different parameters on the velocity, temperature and concentration profiles. Numerical results are compared with previous published results and found to be in good agreement for special cases of the emerging parameters.

Highlights

  • Mixed convection flow is the combination of free and forced convection flow

  • We explore the unsteady flow of viscous nanofluid driven by an inclined stretching sheet

  • The topic of convective heat transfer through nanoparticles is a popular area of research

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Summary

INTRODUCTION

Mixed convection flow is the combination of free and forced convection flow. In the recent years, considerable work has been done in this area. Dessie and Kishan[20] have investigated scaling group analysis on MHD free convective heat and mass transfer over a stretching surface with suction/injection, heat source/sink considering viscous dissipation effects and it was concluded that velocity and temperature profiles increase with an increase in heat generation parameter and decrease with an enhancement in magnetic field parameter. We consider the mixed convection flow of magnetohydrodynamic nanofluid with double stratification in the presence of temperature dependent thermal conductivity, non-uniform heat source/sink, thermal radiation, viscous dissipation and Ohmic heating. Problem is formulated and solved by RK4 method using shooting technique.[37,38] The validity of the present code is verified on the earlier published work.[39] Effect of variable thermal conductivity parameter on velocity, temperature and nanoparticle volume fraction profiles and influences of non-uniform heat source/sink parameters on temperature distribution have been displayed graphically

PROBLEM FORMULATION
NUMERICAL SOLUTION
RESULTS AND DISCUSSIONS
Dimensionless concentration profile
Final remarks

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