Turbulent Flow over and Within a Porous Bed

Journal of Hydraulic Engineering

Volumn 129, Issue 9, 2003, Pages 720-733

  Prinos, Panayotis ^a   Sofialidis, Dimitrios ^b   Keramaris, Evangelos ^a  

^a ARISTOTLE UNIVERSITY OF THESSALONIKI   (Greece)

^b SimTec Software and Services Ltd   (Greece)

Author keywords

Channel beds; Open channels; Porous media; Turbulent flow

Indexed keywords

LAMINAR FLOW; NAVIER STOKES EQUATIONS; OPEN CHANNEL FLOW; TURBULENCE MODELS; TURBULENT FLOW; POROUS MATERIALS; TURBULENCE;

CHANNEL BED; CYLINDRICAL ROD; FREE FLOW; HOT-FILM ANEMOMETRY; MEAN VELOCITIES; OPEN CHANNELS; POROUS BED; POROUS MEDIUM; REYNOLDS AVERAGED NAVIER-STOKES EQUATIONS; TURBULENT STRESS;

POROUS MATERIALS; HYDRAULICS;

POROUS BED;

NAVIER-STOKES EQUATIONS; OPEN CHANNEL FLOW; POROUS MEDIUM; TURBULENT FLOW;

EID: 0141613040     PISSN: 07339429     EISSN: 19437900     Source Type: Journal    
DOI: 10.1061/(ASCE)0733-9429(2003)129:9(720)     Document Type: Article

References (43)

1. Antohe, B. V., and Lage, J. L. (1997). A general two-equation macroscopic turbulence model for incompressible flow in porous media. Int. J. Heat Mass Transfer, 40(13), 3013-3024.
2. Barth, T. J., and Jespersen, D. (1989). The design and application of upwind schemes on unstructured meshes. Technical Rep. AIAA-89-0366, AIAA 27th Aerospace Sciences Meeting, Reno, Nev.
3. Beavers, G. S., and Joseph, D. D. (1967). Boundary conditions at a naturally permeable wall. J. Fluid Mech., 30(1), 197-207.
4. Bird, R. B., Stewart, W. E., and Lighfoot, E. N. (1960). Transport phenomena, Wiley, New York.
5. Choi, C. Y., and Waller, P. M. (1997). Momentum transport mechanism for water flow over porous media. J. Environ. Eng., 123(8), 792-799.
6. Chu, Y H., and Gelhar, L. W. (1972). Turbulent pipe flow with granular permeable boundaries. Rep. No. 148, Ralph M. Parsons Laboratory for Water Resources and Hydrodynamics, Dept. of Civil Engineering, Massachusetts Institute of Technology (M.I.T.), Cambridge, Mass.
7. FLUENT5 users guide. (1998). Fluent Inc., Lebanon, N.H.
8. Getachew, D., Minkowycz, W. J., and Lage, J. L. (2000). A modified form of the k-s model for turbulent flows of an incompressible fluid in porous media. Int. J. Heat Mass Transfer, 43(16), 2909-2915.
9. Givler, R. C, and Altobelli, S. A. (1994). A determination of the effective viscosity for the Brinkman-Forchheimer flow model. J. Fluid Mech., 258, 355-370.
10. Gupte, S. K., andAdvani, S. G. (1997). Flow near the permeable boundary of a porous medium: An experimental investigation using LDA. Exp. Fluids, 22, 408-414.
11. Hahn, S., Je, J., and Choi, H. (2002). Direct numerical simulation of turbulent channel flow with permeable walls. J. Fluid Mech., 450, 259-285.
12. James, D. F., and Davis, A. M. (2001). Flow at the interface of a model fibrous porous medium. J. Fluid Mech., 426, 47-72.
13. Keramaris, E. (2001). Turbulent flow in an open channel with a porous bed. PhD thesis, Dept. of Civil Engineering, Aristotle Univ. of Thes-saloniki, Greece (in Greek).
14. Lage, J. L. (1998). The fundamental theory of flow through permeable media: From Darcy to turbulence. Transport phenomena in porous media, D. B. Ingham and I. Pop, eds., Elsevier Science, Oxford, U.K., 1-30.
15. Lage, J. L., de Lemos, M. J. S., and Nield, D. A. (2002). Modeling turbulence in porous media. Transport phenomena in porous media II, D. B. Ingham and I. Pop, eds., Elsevier Science, Oxford, U.K., 198-230.
16. Launder, B. E., and Sharma, B. I. (1974). Application of the energy-dissipation model of turbulence to the calculation of flow near a spinning disk. Lett. Heat Mass Transfer, 3, 269-289.
17. Leonard, B. P., and Mokhtari, S. (1990). ULTRA-SHARP nonoscilla-Tory convection schemes for high-speed steady multidimensional flow. NASA Technical Memo 1-2568 (ICOMP-90-12), NASA Lewis Research Center, Cleveland.
18. Li, B. (1990). Characteristics of flow in rough channels with permeable bed. Proc, 7th Congress APD-IAHR, Chinese Association for Hydraulic Research, Beijing, 1-7.
19. Li, B., and Garga, V. K. (1998). Theoretical solution for seepage flow in overtopped rockfill. J. Hydraul. Eng., 124(2), 213-217.
20. Mackenthun, A. A., and Stefan, H. G. (1998). Effect of flow velocity on sediment oxygen demand: Experiments. J. Environ. Eng., 124(3), 222-230.
21. Masuoka, T., and Takatsu, Y. (1996). Turbulence model for flow through porous media. Int. J. Heat Mass Transfer, 39(13), 2803-2809.
22. Mendoza, C, and Zhou, D. (1992). Effects of porous bed on turbulent stream flow above bed. J. Hydraul. Eng., 118(9), 1222-1240.
23. Munoz-Goma, R. J., and Gelhar, L. W. (1968). Turbulent pipe flow with rough and porous walls. Rep. No. 109, Hydrodynamics Laboratory, Dept. of Civil Engineering, M.I.T., Cambridge, Mass.
24. Nakayama, A., and Kuwahara, F. (1999). A macroscopic turbulence model for flow in a porous medium. J. Fluids Eng., 121(2), 427-433.
25. Nakamura, Y., and Stefan, H. G. (1994). Effect of flow velocity on sediment oxygen demand: Theory. J. Hydraul. Eng., 120(5), 996-1016.
26. Nakamura, Y, Yanagimachi, T., and Inone, T. (1996). Effect of surface roughness on mass transfer at the sediment water interface. Proc, 6th Int. Symposium on Flow Modeling and Turbulent Measurements, Tallahassee, Fla., 805-812.
27. Nezu, I. (1977). Turbulent structure in open-channel flows. PhD thesis, Dept. of Civil Engineering, Kyoto Univ., Japan.
28. Nezu, I., and Nakagawa, H. (1993). Turbulence in open channel flow, IAHR Monograph, Balkema, Rotterdam, The Netherlands.
29. Nield, D. A. (2001). Alternative models of turbulence in a porous medium and related matters. J. Fluids Eng., 123, 928-934.
30. Ochoa-Tapia, A. J., and Whitaker, S. (1995a). Momentum transfer at the boundary between a porous medium and a homogeneous fluid. I: Theoretical development. Int. J. Heat Mass Transfer, 38(14), 2635-2646.
31. Ochoa-Tapia, A. J., and Whitaker, S. (1995b). Momentum transfer at the boundary between a porous medium and a homogeneous fluid. II: Comparison with experiment. Int. J. Heat Mass Transfer, 38(14), 2647-2655.
32. Poulikakos, D., and Kazmierczak, M. (1987). Forced convection in a duct partially filled with a porous material. J. Heat Transfer, 109, 653-662.
33. Raupach, M. R., Antonia, R. A., and Rajagopalan, S. (1991). Rough-wall turbulent boundary layers. Appl. Mech. Rev., 44(1), 1-25.
34. Rodi, W. (1984). Turbulence models and their application in hydraulics: A state of the art review, The IAHR Monograph, Delft, The Netherlands.
35. Rudraiah, N. (1985). Coupled parallel flows in a channel and a bounding porous medium of finite thickness. J. Fluids Eng., 107, 322-329.
36. Ruff, J. F., and Gelhar, L. W. (1970). Porous boundary effects in turbulent shear flow. Rep. No. 126, Water Resources and Hydrodynamics Laboratory, Dept. of Civil Engineering, M.I.T., Cambridge, Mass.
37. Sahraoui, M., and Kaviany, M. (1992). Slip and no-slip velocity boundary conditions at interface of porous, plain media. Int. J. Heat Mass Transfer, 35, 927-943.
38. Svensson, U, and Rahm, L. (1991). Towards a mathematical model of oxygen transfer to and within bottom sediments. J. Geophys. Res., [Atmos.], 96, 2777-2783.
39. Vafai, K, and Kim, S. J. (1995). On the limitations of the Brinkman-Forchheimer-extended Darcy equation. Int. J. Heat Fluid Flow, 16(1), 11-15.
40. Vafai, K, and Thiyagaraja, R. (1987). Analysis of flow and heat transfer at the interface region of a porous medium. Int. J. Heat Mass Transfer, 30, 1391-1405.
41. Vafai, K, and Tien, C. L. (1981). Boundary and inertia effects on flow and heat transfer in porous media. Int. J. Heat Mass Transfer, 24, 195-203.
42. Zhou, D., and Mendoza, C. (1993). Flow through porous bed of turbulent stream. J. Eng. Mech., 119(2), 365-383.
43. Zippe, H. J., and Graf, W. H. (1983). Turbulent boundary-layer flow over permeable and nonpermeable rough surfaces. J. Hydraul. Res., 21(1), 51-65.