A Macroscopic Turbulence Model for Flow in a Porous Medium

A complete set of macroscopic two-equation turbulence model equations has been established for analyzing turbulent flow and heat transfer within porous media. The volume-averaged transport equations for the mass, momentum, energy, turbulence kinetic energy and its dissipation rate were derived by spatially averaging the Reynolds-averaged set of the governing equations. The additional terms representing production and dissipation of turbulence kinetic energy are modeled introducing two unknown model constants, which are determined from a numerical experiment using a spatially periodic array. In order to investigate the validity of the present macroscopic turbulence model, a macroscopically unidirectional turbulent flow through an infinite array of square rods is considered from both micro- and macroscopic-views

[1]  Y. Takatsu,et al.  Turbulence model for flow through porous media , 1996 .

[2]  M. Kaviany.  Principles of heat transfer in porous media , 1991 .

[3]  J. L. Lage,et al.  A general two-equation macroscopic turbulence model for incompressible flow in porous media , 1997 .

[4]  R. M. Fand,et al.  Resistance to the Flow of Fluids Through Simple and Complex Porous Media Whose Matrices Are Composed of Randomly Packed Spheres , 1987 .

[5]  N. Rudraiah.  Turbulent convection in porous media with non-Darcy effects , 1988 .

[6]  Kenneth A. Smith,et al.  Fluid flow in packed beds , 1965 .

[7]  Hitoshi Koyama,et al.  A Numerical Study of Thermal Dispersion in Porous Media , 1996 .

[8]  A. Nakayama,et al.  Numerical Modeling of Turbulent Flow in Porous Media Using a Spatially Periodic Array , 1998 .

[9]  S. Patankar.  Numerical Heat Transfer and Fluid Flow , 2018, Lecture Notes in Mechanical Engineering.

[10]  I. F. Macdonald,et al.  Flow through Porous Media-the Ergun Equation Revisited , 1979 .

[11]  B. Launder,et al.  Mathematical Models of turbulence , 1972 .

[12]  Akira Nakayama,et al.  PC-aided numerical heat transfer and convective flow , 1995 .

[13]  R. V. Edwards,et al.  A New Look at Porous Media Fluid Mechanics — Darcy to Turbulent , 1984 .

[14]  S. Ergun.  Fluid flow through packed columns , 1952 .

[15]  C. L. Tien,et al.  Boundary and inertia effects on flow and heat transfer in porous media , 1981 .

[16]  A. Nakayama,et al.  Numerical Modelling of Heat and Fluid Flow in a Porous Medium , 1994 .

[17]  D. Spalding,et al.  A calculation procedure for heat, mass and momentum transfer in three-dimensional parabolic flows , 1972 .