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Please use this identifier to cite or link to this item: http://repository.iitr.ac.in/handle/123456789/2847
Title: Numerical modeling of turbulent flow through isotropic porous media
Authors: Kundu P.
Kumar V.
Mishra I.M.
Published in: International Journal of Heat and Mass Transfer
Abstract: Turbulent flow through porous media is of considerable theoretical and practical interest in various engineering disciplines such as chemical, mechanical, nuclear, geological, environmental, petroleum, etc. In the present work, a numerical study of turbulent flow through porous media was carried out. The porous media was considered to be made of a spatially periodic array of infinite square cylinders. The low Re-k-?-Lam-Bremhorst (LB) turbulent model was employed for the description of the turbulent flow in the porous media. The transport equations were solved only through the flow domains having different porosities. The porosity of the medium and the Reynolds number (ReD), were taken in the range of 0.3 ? ? 0.84, and 100 ? ReD ? 40,000, respectively. The influence of and ReD on normalized turbulent kinetic energy, ?k?f and dissipation rate, ???f was investigated and the simulated data were compared with two different turbulent flow models, namely, large eddy simulation (LES), and v2f model. The predictions of turbulent parameters using low Re k-?-LB turbulent model were found to be in good agreement with the LES than that with v2f model. The macroscopic pressure variation across the flow domain was also investigated and the predictions of the pressure gradient were found to be in good agreement with the Forchheimer-extended Darcy law. At low ReD (ReD = 100) the low Re-k-?-LB predictions were deviating from the DNS, LES and v2f predictions. This means that the proposed low Re-k-?-LB model will hold valid only for flows having ReD > 300. A correlation for macroscopic pressure gradient as a function of porosity is also proposed for high ReD. © 2014 Elsevier Ltd. All rights reserved.
Citation: International Journal of Heat and Mass Transfer (2014), 75(): 40-57
URI: https://doi.org/10.1016/j.ijheatmasstransfer.2014.03.020
http://repository.iitr.ac.in/handle/123456789/2847
Issue Date: 2014
Publisher: Elsevier Ltd
Keywords: Low Re k-? model
Porous media
Simulation
Turbulence modeling
Turbulent kinetic energy
ISSN: 179310
Author Scopus IDs: 55835249800
7404634425
23668474600
Author Affiliations: Kundu, P., Department of Chemical Engineering, Indian Institute of Technology, Roorkee 247667, Uttarakhand, India
Kumar, V., Department of Chemical Engineering, Indian Institute of Technology, Roorkee 247667, Uttarakhand, India
Mishra, I.M., Department of Chemical Engineering, Indian Institute of Technology, Roorkee 247667, Uttarakhand, India
Funding Details: One of the authors (P.K) acknowledges the financial support of the Ministry of Human Resource Development (MHRD), Government of India in the form of assistantship in carrying out this work.
Corresponding Author: Kumar, V.; Department of Chemical Engineering, Indian Institute of Technology, Roorkee 247667, Uttarakhand, India; email: vim.singh@gmail.com
Appears in Collections:Journal Publications [CH]

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