Numerical investigation of heat transfer enhancement in a pipe partially filled with a porous material under local thermal non-equilibrium condition

Mahmoudi, Y. and Karimi, N. (2014) Numerical investigation of heat transfer enhancement in a pipe partially filled with a porous material under local thermal non-equilibrium condition. International Journal of Heat and Mass Transfer, 68, pp. 161-173. (doi: 10.1016/j.ijheatmasstransfer.2013.09.020)

Abstract

This paper examines numerically the heat transfer enhancement in a pipe partially filled with a porous medium under local thermal non-equilibrium (LTNE) condition. The flow inside the porous material is modelled using the Darcy–Brinkman–Forchheimer model. The effect of different parameters such as, inertia (F), Darcy number (Da), conductivity ratio, porosity and particle diameter on the validity of local thermal equilibrium (LTE) are studied. The optimum porous thickness for heat transfer enhancement under varying F and with reasonable pressure drop is determined. The pipe wall is under constant wall temperature boundary condition. Two models are considered at the interface between the porous medium and the fluid. The differences between these models in predicting the temperature of the fluid and solid phases as well as the Nusselt (Nu) number for different pertinent parameters are discussed. In general, the two interface models result in similar trends of Nu number variation versus porous thickness ratio. However, considerably different values of Nu number are obtained from the two interface models. The effects of inertia term on the Nu number and pressure drop are further studied. For a given model and for Da < 10−3, the Nu number is found independent of F. However, for Da > 10−3 as F increases the computed Nu number increases

• Item Type: Articles
• Additional Information: NOTICE: this is the author’s version of a work that was accepted for publication in the International Journal of Heat and Mass Transfer. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Heat and Mass Transfer 68:161-173 Jan 2014 DOI:10.1016/j.ijheatmasstransfer.2013.09.020
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Karimi, Dr Nader
• Authors: Mahmoudi, Y., and Karimi, N.
• College/School: College of Science and Engineering > School of Engineering > Systems Power and Energy
• Journal Name: International Journal of Heat and Mass Transfer
• Publisher: Pergamon Press (Elsevier Science)
• ISSN: 0017-9310
• ISSN (Online): 1879-2189
• Copyright Holders: Copyright © 2013 Elsevier Ltd.
• First Published: First published in the International Journal of Heat and Mass Transfer 68:161-173
• Publisher Policy: Reproduced in accordance with the copyright policy of the publisher