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Entropy generation of a nanofluid in a porous cavity with sinusoidal temperature at the walls and a heat source bellow

Dalia Sabina Cimpean (Department of Mathematics, Technical University of Cluj-Napoca, Cluj-Napoca, Romania)
Ioan Pop (Faculty of Mathematics and Computer Science, Babes-Bolyai University, Cluj-Napoca, Romania)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 11 May 2021

Issue publication date: 3 January 2022

117

Abstract

Purpose

This paper aims to focus on the analysis of the entropy generation in an inclined square cavity filled with a porous media saturated by a nanofluid with sinusoidal temperature distribution on the side walls, adiabatic conditions on the upper wall and a heat source at the lower wall.

Design/methodology/approach

The two-phase nanofluid model including the Brownian diffusion and thermophoresis effects has been used for simulation of nanofluid transport inside the porous cavity. The governing equations and the entropy generation owing to fluid friction, heat and mass transfer are transformed in terms of the dimensionless variables, and the results are obtained by using the finite difference method of the second-order accuracy.

Findings

The numerical results of the model are investigated, and the effect of different important parameters, such as inclination angle of the cavity, amplitude ratio of the sinusoidal temperature or phase deviation, is discussed. The results for no inclination of the cavity is compared and successfully validated with previous reported results of the literature. The important findings of the study are focused mainly on the existence of the irreversibility phenomena which are affected by the conditions of the model and the values of the studied parameters.

Originality/value

The originality of this work is given by the presented mathematical model, the numerical solution with new results for entropy generation in an inclined porous cavity filled by a nanofluid and the applications for design of electronic or energy devices.

Keywords

Acknowledgements

The authors wish to express their gratitude to the very competent referee for the very good comments and suggestions.

The work of I. Pop has been supported from the grant PN-III-P4-ID-PCE-2016-0036, UEFISCDI, Romania.

Citation

Cimpean, D.S. and Pop, I. (2022), "Entropy generation of a nanofluid in a porous cavity with sinusoidal temperature at the walls and a heat source bellow", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 32 No. 1, pp. 23-40. https://doi.org/10.1108/HFF-10-2020-0654

Publisher

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Emerald Publishing Limited

Copyright © 2022, Emerald Publishing Limited

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