A new turbulence model for porous media flows. Part II: Analysis and validation using microscopic simulations

Federico E. Teruel, Rizwan-uddin

Research output: Contribution to journalArticle

Abstract

A new model for turbulent flows in porous media developed in an accompanying paper [F.E. Teruel, Rizwan-uddin, A new turbulence model for porous media flows. Part I: Constitutive equations and model closure, Int. J. Heat Mass Transfer (2009), doi:10.1016/j.ijheatmasstransfer.2009.04.017.], in which new definitions of the macroscopic turbulence quantities are introduced, is analyzed and validated. The model is validated using a simple but often used porous medium consisting of a staggered arrangement of square cylinders. Theoretically predicted values of the newly defined turbulence variables, under fully developed conditions, are compared with corresponding variables used in existing turbulence models. Additionally, evolution of the macroscopic turbulence quantities obtained numerically using the model developed here are compared with reference results, obtained by averaging over space the microscopic level solution of the RANS equations. Comparison exercise for the 75% porosity case is carried out for a range of turbulence intensity at the entrance of the porous medium. Comparison of results shows very good agreement. The spatial evolution of the dispersive kinetic energy, which is included in the definition of the macroscopic turbulent kinetic energy introduced here, is computed using the microscopic solution. Its magnitude relative to the conventional turbulent kinetic energy shows the importance of this quantity in the representation of turbulence effects in porous media flows.

Original languageEnglish (US)
Pages (from-to)5193-5203
Number of pages11
JournalInternational Journal of Heat and Mass Transfer
Volume52
Issue number21-22
DOIs
StatePublished - Oct 2009

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turbulence
Sulfur Amino Acids
Porous materials
Alprostadil
Turbulence
turbulence models
kinetic energy
Anthralin
Auscultation
Dioxins
Turbulence models
Kinetic energy
turbulence effects
constitutive equations
physical exercise
entrances
turbulent flow
closures
mass transfer
porosity

Keywords

  • K-ε model
  • Porous media
  • Turbulence modeling
  • Volume-averaging

ASJC Scopus subject areas

  • Mechanical Engineering
  • Condensed Matter Physics
  • Fluid Flow and Transfer Processes

Cite this

A new turbulence model for porous media flows. Part II : Analysis and validation using microscopic simulations. / Teruel, Federico E.; Rizwan-uddin.

In: International Journal of Heat and Mass Transfer, Vol. 52, No. 21-22, 10.2009, p. 5193-5203.

Research output: Contribution to journalArticle

Teruel, Federico E.; Rizwan-uddin / A new turbulence model for porous media flows. Part II : Analysis and validation using microscopic simulations.

In: International Journal of Heat and Mass Transfer, Vol. 52, No. 21-22, 10.2009, p. 5193-5203.

Research output: Contribution to journalArticle

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