On closure modelling of volume averaged equations for flow through two-dimensional arrays of squares

Advances in Fluid Mechanics

Volumn 40, Issue , 2004, Pages 85-93

  Lloyd, C A ^a   Du Plessis, J P ^a   Halvorsen, B M ^b  

^a STELLENBOSCH UNIVERSITY   (South Africa)

^b UNIVERSITY OF SOUTH EASTERN NORWAY   (Norway)

Author keywords

Hydrodynamic permeability; Porous media; Volume averaging

Indexed keywords

APPROXIMATION THEORY; CREEP; DISCHARGE (FLUID MECHANICS); HYDRODYNAMICS; INTERFACES (MATERIALS); MATHEMATICAL MODELS; MECHANICAL PERMEABILITY; POROUS MATERIALS; REYNOLDS NUMBER; STRESS ANALYSIS;

CREEP FLOW; FLUID-SOLID INTERFACES; HYDRODYNAMIC PERMEABILITY; VOLUME AVERAGING;

FLOW OF FLUIDS;

EID: 4644309505     PISSN: 1353808X     EISSN: None     Source Type: Book Series    
DOI: None     Document Type: Conference Paper

References (7)

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2. Du Plessis, J.P., Saturated cross-flow through a two-dimensional porous medium, Advances in Water Resources, 14(3), pp. 131-137, 1991.
3. Du Plessis, J.P. and Masliyah, J.H., Mathematical Modelling of Flow Through Consolidated Porous Media, Transport in Porous Media, 3, pp. 145-161, 1988.
4. Du Plessis, J.P. and Van Der Westhuizen, J., Laminar cross-flow through prismatic porous domains, R&D Journal of the South African Institute of Mechanical Engineers, 9(2), pp. 18-24, 1993.
5. Firdaouss, M. and Du Plessis, J.P., A new model for the prediction of Darcy permeabilities in non-isotropic periodic two-dimensional porous media, Journal of Porous Media, 2003, in press.
6. Lloyd, C.A., Hydrodynamic permeability of staggered and non-staggered regular arrays of squares, MSc Thesis, University of Stellenbosch, South Africa, 2003.
7. Whitaker, S., The Method of Volume Averaging, Theory and Applications of Transport in Porous Media, 13, Kluwer Academic Publishers, 1999.