Mathematical Modeling and Applications of Turbulent Heat and Mass Transfer in Porous Media

Lemos, Marcelo De

doi:10.1201/9780415876384.pt5

Cited by 6 publications

(2 citation statements)

References 44 publications

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“…In fact, these two sets of macroscopic transport equations are equivalent when examined under the recently established double decomposition concept [16][17][18][19][20]. Recent reviews on the topic of turbulence in permeable media can be found in References [21][22][23]. Advances on the general area of porous media are found in recently published books devoted to the subject [24][25][26].…”

Section: Introductionmentioning

confidence: 98%

Fundamentals of the double - decomposition concept for turbulent transport in permeable media

Lemos

2005

Mat.-wiss. u. Werkstofftech.

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Environmental impact analyses as well as engineering equipment design can both benefit from reliable modeling of turbulent flow in porous media. A number of natural and engineering systems can be characterized by a permeable structure through which a working fluid permeates. Turbulence models proposed for such flows depend on the order of application of time and volume average operators. Two methodologies, following the two orders of integration, lead to different governing equations for the statistical quantities. This paper reviews recently published methodologies to mathematically characterize turbulent transport in porous media. A new concept, called double-decomposition, is here discussed and models for turbulent transport in porous media are classified in terms of the order of application of the time and volume averaging operators, among other peculiarities.Within

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Section: Introductionmentioning

confidence: 98%

Fundamentals of the double - decomposition concept for turbulent transport in permeable media

Lemos

2005

Mat.-wiss. u. Werkstofftech.

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“…However, both sets of macroscopic mass transport equations are equivalent when examined under the recently established double decomposition concept [17][18][19][20][21][22]. As mentioned above, the double decomposition concept has been published in a number of widely available journal articles [17][18][19][20][21][22][23][24], book chapters [50][51][52][53] and a book [39]. For the sake of completeness, a brief overview is presented here and additional details can be found in the literature cited.…”

Section: Decomposition Of Flow Variables In Space and Timementioning

confidence: 99%

Interfacial Heat Transport in Highly Permeable Media: A Finite Volume Approach

Lemos

Saito

2008

Cellular and Porous Materials

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The transport of heat inside highly permeable media has attracted the attention of scientists and engineers due to its many engineering applications. Such applications can be found in solar energy receiver devices, heat exchangers, porous combustors, grain drying equipment, heat sink units, energy recovery systems, etc. In many of these modern engineering systems the use of cellular and metallic porous foams brings the advantages of having large specific heat transfer areas, or the interfacial transport area per unit volume is large when compared with other heat-capturing devices. More realistic modeling of transport processes in such media is then essential for the reliable design and analysis of high-efficiency engineering systems.Motivated by the wide spectrum of practical engineering applications, macroscopic transport modeling of incompressible flows in porous media has been developed over the last few decades, mostly based on the volume-average methodology for either heat [1] or mass transfer [2,3]. Classic books by Bear (1972) [4], Nield and Bejan (1992) [5] and Ingham and Pop (1998) [6], to mention a few, also document forced convection and related models for heat transport in porous media.From the point of view of energy transfer between phases, namely the cellular material phase and the working fluid, there are basically two different models commonly found in the literature: (a) a local thermal equilibrium model and (b) a two-energy equation or thermal nonequilibrium model. The first one assumes that the bulk solid temperature does not differ much from the average value of the fluid temperature; thus local thermal equilibrium between the fluid and the solid phase is assumed. This model greatly simplifies theoretical and numerical research but the assumption of local thermal equilibrium between the fluid and the solid is inadequate for a number of practical problems [7][8][9]. As a result, in recent years more attention has been paid to the local thermal nonequilibrium model, both theoretically and numerically [10,11].

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Mechanics of Fluid Flow Through a Porous Medium

Nield

Bejan

2012

Convection in Porous Media

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Mathematical Modeling and Applications of Turbulent Heat and Mass Transfer in Porous Media

Cited by 6 publications

References 44 publications

Fundamentals of the double - decomposition concept for turbulent transport in permeable media

Fundamentals of the double - decomposition concept for turbulent transport in permeable media

Interfacial Heat Transport in Highly Permeable Media: A Finite Volume Approach

Mechanics of Fluid Flow Through a Porous Medium

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