Application of a simple space-time averaged porous media model to flow in densely vegetated channels

Journal of Porous Media

Volumn 7, Issue 3, 2004, Pages 183-191

  Hoffmann, Marc R ^a  

^a WAGENINGEN UNIVERSITY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

CHANNEL FLOW; FRICTION; MATHEMATICAL MODELS; POROSITY; PROBLEM SOLVING; SEDIMENTATION; TURBULENCE; VISCOSITY;

DYNAMIC EQUILIBRIUM; NAVIER-STOKES EQUATIONS; REPRESENTATIVE UNIT CELL (RUC); STRUCTURAL PARAMETERS;

POROUS MATERIALS;

EID: 4944232715     PISSN: 1091028X     EISSN: None     Source Type: Journal    
DOI: 10.1615/JPorMedia.v7.i3.30     Document Type: Article

References (25)

1. Antohe, B. V. and Lage, J. L., A general two-equation macroscopic turbulence model for incompressible flow in porous media, Int. J. Heat Mass Transfer, vol. 40, no. 13 pp. 3013-3024, 1997.
2. du Plessis, J. P. and Diedericks, G. P. J., Pore-scale modelling of interstitial transport phenomena, In P. du Plessis (ed.), Fluid Transport in Porous Media, Advances in Fluid Mechanics, vol. 13, chap. 2, pp. 61-104, Computational Mechanics Publications, Southampton, UK, 1997.
3. du Plessis, J. P. and Masliyah, J. H., Mathematical modelling of flow through consolidated isotropic porous media, Transport in Porous Media, vol. 3, no. 2, pp. 145-161, 1988.
4. Elliott, A. H., Settling of fine sediment in a channel with emergent vegetation, J. Hydraul. Eng., ASCE, vol. 126, no. 8, pp. 570-577, 2000.
5. Finnigan, J., Turbulence in plant canopies, Annu. Rev. Fluid Mech., vol. 32, pp. 519-571, 2000.
6. Fischenich, C., Resistance due to vegetation, EMRRP Technical Notes Collection ERDC TN-EMRRP-SR-07, U.S. Army Engineer Research and Development Center, Vicksburg, MS, 2000.
7. Kadlec, R. H., Overland flow in wetlands, J. Hydraul. Eng., ASCE, vol. 116, no. 5, pp. 691-706, 1990.
8. Kaviany, M., Principles of Heat Transfer in Porous Media, 2d ed., Mechanical Engineering Series, Springer-Verlag, New York, NY, 1995.
9. Kouwen, N., Modern approach to the design of grassed channels, J. Irrig. Drainage Eng., ASCE, vol. 118, no. 5, pp. 733-743, 1992.
10. Kouwen, N. and Fathi-Moghadam, M., Friction factors for coniferous trees along rivers, J. Hydraul. Eng., ASCE, vol. 126, no. 10, pp. 732-740, 2000.
11. López, F. and García, M. H., Mean flow and turbulence structure of open-channel flow through non-emergent vegetation, J. Hydraul. Eng., ASCE, vol. 127, no. 5, pp. 392-402, 2001.
12. Masuoka, T. and Takatsu, Y., Turbulence model for flow through porous media, Int. J. Heat Mass Transfer, vol. 39, no. 13, pp. 2803-2809, 1996.
13. Nakayama, A. and Kuwahara, F., A macroscopic turbulence model for flow in a porous medium, J. Fluids Eng., vol. 121, pp. 427-433, 1999.
14. Nikora, V., Goring, D., McEwan, I., and Griffiths, G., Spatially averaged open-channel flow over rough bed, J. Hydraul. Eng., ASCE, vol. 127, no. 2, pp. 123-133, 2001.
15. Nikora, V. I., Comment on "drag, turbulence and diffusion in flow through emergent vegetation" by H. M. Nepf., Water Resources Res., vol. 36, no. 7, pp. 1985-1986, 2000.
16. Pedras, M. H. J. and de Lemos, M. J. S., On the definition of turbulent kinetic energy for flow in porous media, Int. Commun. Heat Mass Transfer, vol. 27, no. 2, pp. 211-220, 2000.
17. Pedras, M. H. J. and de Lemos, M. J. S., Macroscopic turbulence modeling for incompressible flow through undeformable porous media, Int. J. Heat Mass Transfer, vol. 44, pp. 1081-1093, 2001a.
18. Pedras, M. H. J. and de Lemos, M. J. S., Simulation of turbulent flow in porous media using a spatially periodic array and a low Re two-equation closure, Numer. Heat Transfer A, vol. 39, no. 1, pp. 35-59, 2001b.
19. Petryk, S. and Bosmajian, A. M., Analysis of flow through vegetation, J. Hydraul. Div., ASCE, vol. 101, no. HY7, pp. 871-884, 1975.
20. Ritzema, H. P. (ed.), Drainage Principles and Applications, 2d (completely revised) ed., ILRI Publication 16. International Institute for Land Reclamation and Improvement, Wageningen, The Netherlands, 1994.
21. Taylor, R. P., Coleman, H. W., and Hodge, B. K., Prediction of turbulent rough-wall skin friction using a discrete element approach, J. Fluids Eng., vol. 107, pp. 251-257, 1985.
22. Thompson, G. T. and Roberson, J. A., A theory of flow resistance for vegetated channels, Trans. ASAE, vol. 19, pp. 288-293, 1976.
23. Tsihrintzis, V. A., Discussion of "Variation of roughness coefficients for unsubmerged and submerged vegetation," J. Hydraul. Eng., ASCE, vol. 125, no. 9, pp. 241-244, 2001.
24. Whitaker, S., A simple geometric derivation of the spatial averaging theorem, Chem. Eng. Educ., vol. 19, pp. 18-52, 1985.
25. Wu, F. C., Shen, H. W., and Chou, Y. J., Variation of roughness coefficients for unsubmerged and submerged vegetation, J. Hydraul. Eng., ASCE, vol. 125, no. 9, pp. 934-942, 1999.