Alternative modeling for turbulent flow in porous media

F. E. Teruel, Rizwan-Uddin

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The development of models for turbulent flows in porous media is an active area of research with diverse and practical applications. Following the steps to model turbulence in clear flows, porous media models have appeared in the last three decades to capture the turbulence phenomenon at macroscopic scales. The fact that, in the porous media approximation, we are representing a region of the space with single values, obligate us to introduce space-fluctuating quantities in addition to the time decomposition or Reynolds decomposition. This issue has yielded some controversies in the way that turbulence quantities are defined and therefore, in the resulting turbulence models for porous media that have been already developed following the well known k-ε model. In this paper an alternative model is developed to address turbulent flows in porous media. This new set of k-ε equations for rigid and isotropic porous media is developed treating spatial and time fluctuations as a unique identity. This feature leads to a natural construction of the k and ε equations with the same terms found in the corresponding equations for clear flow plus additional terms resulting from the interaction between solid walls of the porous media and the fluid. These extra terms arise in an integral form allowing their evaluation from microscopic or clear flow calculations. Assuming the eddy viscosity approximation and simple models to represent the interaction between solid walls and fluid, the model is closed. The resulting equations are simplified and numerically solved for fully developed flow in one dimensional porous media. Results are compared with those obtained using existing models.

Original languageEnglish (US)
Title of host publication2006 ASME Joint U.S.-European Fluids Engineering Summer Meeting, FEDSM 2006
Volume2006
StatePublished - 2006
Event2006 2nd ASME Joint U.S.-European Fluids Engineering Summer Meeting, FEDSM 2006 - Miami, FL, United States

Other

Other2006 2nd ASME Joint U.S.-European Fluids Engineering Summer Meeting, FEDSM 2006
CountryUnited States
CityMiami, FL
Period7/17/067/20/06

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Porous materials
Turbulent flow
Turbulence models
Turbulence
Decomposition
Fluids
Viscosity

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Teruel, F. E., & Rizwan-Uddin (2006). Alternative modeling for turbulent flow in porous media. In 2006 ASME Joint U.S.-European Fluids Engineering Summer Meeting, FEDSM 2006 (Vol. 2006)

Alternative modeling for turbulent flow in porous media. / Teruel, F. E.; Rizwan-Uddin.

2006 ASME Joint U.S.-European Fluids Engineering Summer Meeting, FEDSM 2006. Vol. 2006 2006.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Teruel, FE & Rizwan-Uddin 2006, Alternative modeling for turbulent flow in porous media. in 2006 ASME Joint U.S.-European Fluids Engineering Summer Meeting, FEDSM 2006. vol. 2006, 2006 2nd ASME Joint U.S.-European Fluids Engineering Summer Meeting, FEDSM 2006, Miami, FL, United States, 17-20 July.
Teruel FE, Rizwan-Uddin. Alternative modeling for turbulent flow in porous media. In 2006 ASME Joint U.S.-European Fluids Engineering Summer Meeting, FEDSM 2006. Vol. 2006. 2006.

Teruel, F. E.; Rizwan-Uddin / Alternative modeling for turbulent flow in porous media.

2006 ASME Joint U.S.-European Fluids Engineering Summer Meeting, FEDSM 2006. Vol. 2006 2006.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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