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MHD heat transfer and entropy generation in inclined trapezoidal cavity filled with nanofluid: Numerical investigation and sensitivity analysis

Kamel Milani Shirvan (Department of Mechanical Engineering, Ferdowsi University of Mashhad, Mashhad, Iran)
Soroush Mirzakhanlari (Young Researchers and Elite Club, Islamic Azad University, Qazvin, Iran)
Hakan F. Öztop (Department of Mechanical Engineering, Technology Faculty, Firat University, Elazig, Turkey)
Mojtaba Mamourian (Department of Mechanical Engineering, Ferdowsi University of Mashhad, Mashhad, Iran)
Khaled Al-Salem (Department of Mechanical Engineering, College of Engineering, King Saud University, Riyadh, Saudi Arabia)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 2 October 2017

185

Abstract

Purpose

The main purpose of this paper is to define 2D numerical study and a sensitivity analysis of natural convection heat transfer and entropy generation of Al2O3-water nanofluid in a trapezoidal cavity, with considering of the presence of a constant axial magnetic field.

Design/methodology/approach

The effects of the three effective parameters, the Rayleigh number, Hartmann number (Ha) and also inclination angle on the heat transfer performance and entropy generation, are investigated using a finite volume approach. The sensitivity analysis of the effective parameters is done utilizing the response surface methodology.

Findings

The results obtained showed that the mean Nusselt number and total entropy generation increase with the Rayleigh number. Also, increasing the inclination angle reduces the mean Nusselt number (regardless of the magnetic field). In addition, it is found that the mean Nusselt number increases until Ha = 10 and then decreases by increasing of Ha number, regardless of the inclination angle. The sensitivity of the mean Nusselt number to the Ha number and inclination angle α is negative. It is concluded that to maximize the mean Nusselt number and minimize the entropy generation, simultaneously, the Ha and inclination angle must be 50° and 0°, respectively.

Originality/value

There is no published research in the literature about sensitivity analysis of magneto-hydrodynamic heat transfer and entropy generation in inclined trapezoidal cavity filled with nanofluid.

Keywords

Acknowledgements

Third and last authors extend their appreciation to the International Scientific Partnership Program ISPP at King Saud University for funding this research work through ISPP#0030. The authors also wish to express their thank to the very competent Reviewers for the valuable comments and suggestions.

Citation

Milani Shirvan, K., Mirzakhanlari, S., Öztop, H.F., Mamourian, M. and Al-Salem, K. (2017), "MHD heat transfer and entropy generation in inclined trapezoidal cavity filled with nanofluid: Numerical investigation and sensitivity analysis", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 27 No. 10, pp. 2174-2202. https://doi.org/10.1108/HFF-08-2016-0309

Publisher

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Emerald Publishing Limited

Copyright © 2017, Emerald Publishing Limited

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