Turbulence models proposed for flow through permeable structures depend on the order of application of time and volume average operators. Two developed methodologies, following the two orders of integration, lead to different governing equations for the statistical quantities. The flow turbulence kinetic energy resulting in each case is different. This paper reviews recently published mathematical models developed for such flows. The concept of double decomposition is discussed and models are classified in terms of the order of application of time and volume averaging operators, among other peculiarities. A total of four major classes of models are identified and a general discussion on their main characteristics is carried out. Proposed equations for turbulence kinetic energy following time-space and space-time integration sequences are derived and similar terms are compared. Treatment of the drag coefficient and closure of the interfacial surface integrals are discussed.
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December 2001
Technical Papers
Recent Mathematical Models for Turbulent Flow in Saturated Rigid Porous Media
Marcelo J. S. de Lemos, Mem. ASME,
Marcelo J. S. de Lemos, Mem. ASME
Departamento de Energia—IEME, Instituto Tecnolo´gico de Aerona´utica–ITA, 12228-900—Sa˜o Jose´ dos Campos-SP, Brazil
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Marcos H. J. Pedras
Marcos H. J. Pedras
Instituto de Pesquisa e Desenvolvimento IP&D-UNIVAP, 12244-000-Sa˜o Jose´ dos Campos-SP, Brazil
Search for other works by this author on:
Marcelo J. S. de Lemos, Mem. ASME
Departamento de Energia—IEME, Instituto Tecnolo´gico de Aerona´utica–ITA, 12228-900—Sa˜o Jose´ dos Campos-SP, Brazil
Marcos H. J. Pedras
Instituto de Pesquisa e Desenvolvimento IP&D-UNIVAP, 12244-000-Sa˜o Jose´ dos Campos-SP, Brazil
Contributed by the Fluids Engineering Division for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received by the Fluids Engineering Division January 18, 2001; revised manuscript received August 8, 2001. Associate Editor: L. Mondy.
J. Fluids Eng. Dec 2001, 123(4): 935-940 (6 pages)
Published Online: August 8, 2001
Article history
Received:
January 18, 2001
Revised:
August 8, 2001
Citation
de Lemos, M. J. S., and Pedras, M. H. J. (August 8, 2001). "Recent Mathematical Models for Turbulent Flow in Saturated Rigid Porous Media ." ASME. J. Fluids Eng. December 2001; 123(4): 935–940. https://doi.org/10.1115/1.1413243
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