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Transient natural convection in a partially open trapezoidal cavity filled with a water-based nanofluid under the effects of Brownian diffusion and thermophoresis

Nadezhda S. Bondareva (Department of Theoretical Mechanics, Tomsk State University, Tomsk, Russia)
Mikhail A. Sheremet (Laboratory on Convective Heat and Mass Transfer, Tomsk State University, Tomsk, Russia)
Hakan F. Öztop (Department of Mechanical Engineering, Technology Faculty, Fırat University, Elazig, Turkey and Department of Mechanical Engineering, King Abdullaziz University, Jeddah, Saudi Arabia)
Nidal Abu-Hamdeh (Department of Mechanical Engineering, King Abdulaziz University, Jeddah, Saudi Arabia)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 5 March 2018

159

Abstract

Purpose

The purpose of this paper is to study about the natural convection of water-based nanofluid in a partially open trapezoidal cavity under the influence of Brownian diffusion and thermophoresis.

Design/methodology/approach

Governing equations formulated in dimensionless stream function – vorticity variables – have been solved by finite difference method with a homemade code C++. Effects of Rayleigh number (Ra = 50-1,000), Lewis number (Le = 10-1,000), buoyancy-ratio parameter (Nr = 0.1-5.0), Brownian motion parameter (Nb = 0.1, 1.0) and thermophoresis parameter (Nt = 0.1, 1.0) on nanofluid flow and heat transfer have been studied.

Findings

It is found that high values of Rayleigh and Lewis numbers lead to the homogenization of nanoparticles distributions. For high values of Nt and Nb, heating is more essential and the cavity average temperature rises.

Originality/value

The originality of this work is to analyze natural convection in an open-sided trapezoidal cavity with Brownian diffusion and thermophoresis.

Keywords

Acknowledgements

This work of Nadezhda S. Bondareva was conducted as a government task of the Ministry of Education and Science of the Russian Federation (Project Number 13.9724.2017/8.9). The authors also wish to express their thanks to the very competent reviewers for their valuable comments and suggestions.

Citation

Bondareva, N.S., Sheremet, M.A., Öztop, H.F. and Abu-Hamdeh, N. (2018), "Transient natural convection in a partially open trapezoidal cavity filled with a water-based nanofluid under the effects of Brownian diffusion and thermophoresis", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 28 No. 3, pp. 606-623. https://doi.org/10.1108/HFF-04-2017-0170

Publisher

:

Emerald Publishing Limited

Copyright © 2018, Emerald Publishing Limited

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