On the unsteady forced convection in porous media subject to inlet flow disturbances-A pore-scale analysis

Habib, R., Yadollahi, B., Karimi, N. and Doranegard, M. H. (2020) On the unsteady forced convection in porous media subject to inlet flow disturbances-A pore-scale analysis. International Communications in Heat and Mass Transfer, 116, 104639. (doi: 10.1016/j.icheatmasstransfer.2020.104639)

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Abstract

Heat convection response of a porous medium to the harmonic disturbances in the inlet flow is investigated in a configuration consisting of several obstacles. Navier Stokes and energy equations are solved computationally and the average Nusselt number around the obstacles is favourably compared against the existing empirical data. The Nusselt number fluctuations are then examined, revealing that the dynamical relations between the inlet flow fluctuations as the input and those of Nusselt number as the output, can be nonlinear. The extent of encountered nonlinearity is determined quantitatively through introduction of a measure of nonlinearity. It is shown that increases in the pore-scale Reynolds number can strengthen the nonlinearity. However, this is not a global trend and further increases in Reynolds number may push the system dynamics back to linear. Application of the concept of transfer function to the identified linear cases reveals that the frequency response of the Nusselt number closely resembles a classical low-pass filter. Further, through a statistical analysis, it is shown that thermal response of the porous medium is strongly dominated by those of the first few obstacles. This highlights the importance of taking pore-scale approach in the dynamical problems that involve heat convection in porous media.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Habib, Mr Rabeeah and Yadollahi, Dr Bijan and Karimi, Dr Nader
Authors: Habib, R., Yadollahi, B., Karimi, N., and Doranegard, M. H.
College/School:College of Science and Engineering > School of Engineering
College of Science and Engineering > School of Engineering > Systems Power and Energy
Journal Name:International Communications in Heat and Mass Transfer
Publisher:Elsevier
ISSN:0735-1933
ISSN (Online):1879-0178
Published Online:25 May 2020
Copyright Holders:Copyright © 2020 The Authors
First Published:First published in International Communications in Heat and Mass Transfer 116:104639
Publisher Policy:Reproduced under a Creative Commons license

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