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Analysis of hydromagnetic natural convection radiative flow of a viscoelastic nanofluid over a stretching sheet with Soret and Dufour effects

Gauri Shanker Seth (Department of Applied Mathematics, Indian Institute of Technology (ISM) Dhanbad, India)
Rohit Sharma (Department of Applied Science, Krishna Institute of Engineering and Technology, Ghaziabad, India)
Manoj Kumar Mishra (Department of Applied Mathematics, Indian Institute of Technology (ISM) Dhanbad, India)
Ali J. Chamkha (Department of Mechanical Engineering, Prince Mohammad Bin Fahd University, Al-Khobar, Saudi Arabia)

Engineering Computations

ISSN: 0264-4401

Article publication date: 18 April 2017

169

Abstract

Purpose

The purpose of this paper is to assess steady, two-dimensional natural convection flow of a viscoelastic, incompressible, electrically conducting and optically thick heat-radiating nanofluid over a linearly stretching sheet in the presence of uniform transverse magnetic field taking Dufour and Soret effects into account.

Design/methodology/approach

The governing boundary layer equations are transformed into a set of highly non-linear ordinary differential equations using suitable similarity transforms. Finite element method is used to solve this boundary value problem. Effects of pertinent flow parameters on the velocity, temperature, solutal concentration and nanoparticle concentration are described graphically. Also, effects of pertinent flow parameters on the shear stress, rate of heat transfer, rate of solutal concentration and rate of nanoparticle concentration at the sheet are discussed with the help of numerical values presented in graphical form. All numerical results for mono-diffusive nanofluid are compared with those of double-diffusive nanofluid.

Findings

Numerical results obtained in this paper are compared with earlier published results and are found to be in excellent agreement. Viscoelasticity, magnetic field and nanoparticle buoyancy parameter tend to enhance the wall velocity gradient, whereas thermal buoyancy force has a reverse effect on it. Radiation, Brownian and thermophoretic diffusions tend to reduce wall temperature gradient, whereas viscoelasticity has a reverse effect on it. Nanofluid Lewis number tends to enhance wall nanoparticle concentration gradient.

Originality/value

Study of this problem may find applications in engineering and biomedical sciences,e.g. in cooling and process industries and in cancer therapy.

Keywords

Acknowledgements

The authors are grateful to the reviewers for their valuable suggestions that have helped improve the quality of this research paper.

Citation

Seth, G.S., Sharma, R., Mishra, M.K. and Chamkha, A.J. (2017), "Analysis of hydromagnetic natural convection radiative flow of a viscoelastic nanofluid over a stretching sheet with Soret and Dufour effects", Engineering Computations, Vol. 34 No. 2, pp. 603-628. https://doi.org/10.1108/EC-10-2015-0290

Publisher

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Emerald Publishing Limited

Copyright © 2017, Emerald Publishing Limited

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