The present study deals with the generalization of a macroscopic turbulence model in porous media using a capillary model. The additional source terms associated with the production and dissipation of turbulent kinetic energy due to the presence of solid matrix are calculated using the capillary model. The present model does not require any prior pore scale simulation of turbulent flow in a specific porous geometry in order to close the macroscopic turbulence equations. Validation of the results in packed beds, periodic arrangement of square cylinders, synthetic foams, and longitudinal flows such as pipes, channels, and rod bundles against available data in the literature reveals the ability of the present model in predicting turbulent flow characteristics in different types of porous media. Transition to the fully turbulent regime in porous media and different approaches to treat this phenomenon are also discussed in the present study. Finally, the general model is modified so that it can be applied to lower Reynolds numbers below the range of fully turbulent regime in porous media.
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January 2018
Research-Article
A General Macroscopic Model for Turbulent Flow in Porous Media
Nima F. Jouybari,
Nima F. Jouybari
Department of Mechanical Engineering,
Tarbiat Modares University,
P.O. Box 14115-143,
Tehran 1411713116, Iran
e-mail: nima.jouybari@gmail.com
Tarbiat Modares University,
P.O. Box 14115-143,
Tehran 1411713116, Iran
e-mail: nima.jouybari@gmail.com
Search for other works by this author on:
Mehdi Maerefat,
Mehdi Maerefat
Department of Mechanical Engineering,
Tarbiat Modares University,
P.O. Box 14115-143,
Tehran 1411713116, Iran
e-mail: maerefat@modares.ac.ir
Tarbiat Modares University,
P.O. Box 14115-143,
Tehran 1411713116, Iran
e-mail: maerefat@modares.ac.ir
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T. Staffan Lundström,
T. Staffan Lundström
Division of Fluid Mechanics,
Luleå University of Technology,
Luleå 971 87, Sweden
e-mail: staffan.lundstrom@ltu.se
Luleå University of Technology,
Luleå 971 87, Sweden
e-mail: staffan.lundstrom@ltu.se
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Majid E. Nimvari,
Majid E. Nimvari
Faculty of Engineering Technologies,
Amol University of Special
Modern Technologies,
Amol 4614849767, Iran
e-mail: m.eshagh@ausmt.ac.ir
Amol University of Special
Modern Technologies,
Amol 4614849767, Iran
e-mail: m.eshagh@ausmt.ac.ir
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Zahra Gholami
Zahra Gholami
Department of Food and Agriculture,
Standard Research Institute,
Karaj 3174734563, Iran
e-mail: gholamizahram83@gmail.com
Standard Research Institute,
Karaj 3174734563, Iran
e-mail: gholamizahram83@gmail.com
Search for other works by this author on:
Nima F. Jouybari
Department of Mechanical Engineering,
Tarbiat Modares University,
P.O. Box 14115-143,
Tehran 1411713116, Iran
e-mail: nima.jouybari@gmail.com
Tarbiat Modares University,
P.O. Box 14115-143,
Tehran 1411713116, Iran
e-mail: nima.jouybari@gmail.com
Mehdi Maerefat
Department of Mechanical Engineering,
Tarbiat Modares University,
P.O. Box 14115-143,
Tehran 1411713116, Iran
e-mail: maerefat@modares.ac.ir
Tarbiat Modares University,
P.O. Box 14115-143,
Tehran 1411713116, Iran
e-mail: maerefat@modares.ac.ir
T. Staffan Lundström
Division of Fluid Mechanics,
Luleå University of Technology,
Luleå 971 87, Sweden
e-mail: staffan.lundstrom@ltu.se
Luleå University of Technology,
Luleå 971 87, Sweden
e-mail: staffan.lundstrom@ltu.se
Majid E. Nimvari
Faculty of Engineering Technologies,
Amol University of Special
Modern Technologies,
Amol 4614849767, Iran
e-mail: m.eshagh@ausmt.ac.ir
Amol University of Special
Modern Technologies,
Amol 4614849767, Iran
e-mail: m.eshagh@ausmt.ac.ir
Zahra Gholami
Department of Food and Agriculture,
Standard Research Institute,
Karaj 3174734563, Iran
e-mail: gholamizahram83@gmail.com
Standard Research Institute,
Karaj 3174734563, Iran
e-mail: gholamizahram83@gmail.com
1Corresponding author.
Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received April 9, 2016; final manuscript received August 6, 2017; published online September 20, 2017. Assoc. Editor: Elias Balaras.
J. Fluids Eng. Jan 2018, 140(1): 011201 (9 pages)
Published Online: September 20, 2017
Article history
Received:
April 9, 2016
Revised:
August 6, 2017
Citation
Jouybari, N. F., Maerefat, M., Staffan Lundström, T., Nimvari, M. E., and Gholami, Z. (September 20, 2017). "A General Macroscopic Model for Turbulent Flow in Porous Media." ASME. J. Fluids Eng. January 2018; 140(1): 011201. https://doi.org/10.1115/1.4037677
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