Double-averaging concept for rough-bed open-channel and overland flows: Theoretical background

Journal of Hydraulic Engineering

Volumn 133, Issue 8, 2007, Pages 873-883

  Nikora, Vladimir ^a   McEwan, Ian ^a   McLean, Stephen ^b   Coleman, Stephen ^c   Pokrajac, Dubravka ^a   Walters, Roy ^d  

^a UNIVERSITY OF ABERDEEN   (United Kingdom)

^b University of California   (United States)

^c UNIVERSITY OF AUCKLAND   (New Zealand)

^d NATIONAL INSTITUTE OF WATER AND ATMOSPHERIC RESEARCH   (New Zealand)

Author keywords

Boundary layer flow; Experimentation; Flow characteristics; Fluvial hydraulics; Hydrodynamics; Numerical models; Open channel flow; Overland flow; Turbulence

Indexed keywords

ENVIRONMENTAL HYDRAULICS; FLOW CHARACTERISTICS; FLUVIAL HYDRAULICS; OVERLAND FLOW; ROUGH-BED FLOW;

BOUNDARY LAYER FLOW; HYDRODYNAMICS; MATHEMATICAL MODELS; OPEN CHANNEL FLOW; TURBULENCE; TURBULENT FLOW;

HYDRAULICS;

BOUNDARY LAYER FLOW; HYDRAULICS; HYDRODYNAMICS; MATHEMATICAL MODELS; OPEN CHANNEL FLOW; TURBULENCE; TURBULENT FLOW;

ADVECTION-DIFFUSION EQUATION; BOUNDARY LAYER; CHANNEL HYDRAULICS; FLOW MODELING; HYDRODYNAMICS; NUMERICAL MODEL; OPEN CHANNEL FLOW; OVERLAND FLOW; SEDIMENT TRANSPORT; SUSPENDED SEDIMENT; TURBULENCE;

EID: 34547105107     PISSN: 07339429     EISSN: None     Source Type: Journal    
DOI: 10.1061/(ASCE)0733-9429(2007)133:8(873)     Document Type: Article

References (58)

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 IJHMAK0017-931010.1016/ S0017-9310(96)00370-5, 40(13), 3013-3024.
2. Ayotte, K. W., Finnigan, J., and Raupach, M. R. (1999). "A second-order closure for neutrally stratified vegetative canopy flows." Boundary-Layer Meteorol. BLMEBR0006-8314, 90, 189-216.
3. Bohm, M., Finnigan, J. J., and Raupach, M. R. (2000). "Dispersive fluxes and canopy flows: Just how important are they?" Proc., of 24th Conf. on Agricultural and Forest Meteorology (AFME), Davis, Calif., 106-107.
4. Campbell, L., (2005). "Bed-load effects on hydrodynamics of rough-bed open-channel flows." J. Hydraul. Eng. JHEND80733-942910.1061/(ASCE)0733-9429(2005)131:7(576), 131(7), 576-585.
5. Cheng, H., and Castro, I. P. (2002). "Near wall flow near urban-like roughness." Boundary-Layer Meteorol. BLMEBR0006-8314, 104, 229-259.
6. Coceal, O., Thomas, T. G., Castro, I. P., and Belcher, S. E. (2006). "Mean flow and turbulence statistics over groups of urban-like cubical obstacles." Boundary-Layer Meteorol. BLMEBR0006-8314, 121(3), 491-519.
7. de Lemos, M. J. S. (2006). "Turbulence in porous media." Modeling and applications, Elsevier, Amsterdam, The Netherlands.
8. de Lemos, M. J. S., and Pedras, M. H. J. (2001). "Recent mathematical models for turbulent flow in saturated rigid porous media." J. Fluids Eng. JFEGA40098-220210.1115/1.1413243, 123, 935-940.
9. Finnigan, J. J. (1985). "Turbulent transport in flexible plant canopies." The forest-atmosphere interactions, B. A. Hutchinson and B. B. Hicks, eds., D. Reidel, 443-480.
10. Finnigan, J. J. (2000). "Turbulence in plant canopies." Annu. Rev. Fluid Mech. ARVFA30066-418910.1146/annurev.fluid.32.1.519, 32, 519-571.
11. Galmarini, S., and Thunis, P. (1999). "On the validity of Reynolds assumptions for running-mean filters in the absence of a spectral gap." J. Atmos. Sci. JAHSAK0022-4928, 56(12), 1785-1796.
12. Gimenez-Curto, L. A., and Corniero Lera, M. A. (1996). "Oscillating turbulent flow over very rough surfaces." J. Geophys. Res. JGREA20148-022710.1029/96JC01824, 101(C9), 20745-20758.
13. Gimenez-Curto, L. A., and Corniero Lera, M. A. (2003). "Highest natural bed forms." J. Geophys. Res. JGREA20148-022710.1029/ 2002JC001474, 108(C2), 3046.
14. Graf, W. H., and Altinakar, M. S. (1998). Fluvial hydraulics, Wiley, New York.
15. Gray, W. G. (1975). "A derivation of the equation for multiphase transport." Chem. Eng. Sci. CESCAC0009-250910.1016/ 0009-2509(75)80010-8, 30, 229-233.
16. Gray, W. G., and Lee, P. C. Y. (1977). "On the theorems for local volume averaging of multiphase systems." Int. J. Multiphase Flow IJMFBP0301-932210.1016/0301-9322(77)90013-1, 3, 333-340.
17. Hoffmann, M. R. (2004). "Application of a simple space-time averaged porous media model to flow in densely vegetated channels." J. Porous Media JPMEFB1091-028X, 7(3), 183-191.
18. Howes, F. A., and Whitaker, S. (1985). "The spatial averaging theorem revisited." Chem. Eng. Sci. CESCAC0009-2509, 40(8), 1,387-1,392.
19. Hsu, T.-J., Sakakiyama, T., and Liu, P. L.-F. (2002). "A numerical model for wave motions and turbulent flows in front of a composite breakwater." Coastal Eng. COENDE0378-383910.1016/ S0378-3839(02)00045-5, 46, 25-50.
20. Kaimal, J. C., and Finnigan, J. J. (1994). Atmospheric boundary layer flows, Oxford University Press, New York.
21. Katul, G. G., Mahrt, L., Poggi, D., and Sanz, C. (2004). "One- and two-equation models for canopy turbulence." Boundary-Layer Meteorol. BLMEBR0006-8314, 113, 81-109.
22. Lage, J. L., de Lemos, M. J. S., and Nield, D. A. (2002). "Modelling turbulence in porous media." Transport phenomena in porous media, D. B. Ingham and I. Pop, eds., Pergamon, Amsterdam, The Netherlands, 198-230.
23. Lien, F.-S., Yee, E., and Wilson, J. D. (2005). "Numerical modeling of the turbulent flow developing within and over a 3-D building array. Part II: A mathematical foundation for a distributed drag force approach." Boundary-Layer Meteorol. BLMEBR0006-831410.1007/ s10546-004-9242-3, 114(2), 245-285.
24. Lopez, F., and Garcia, M. H. (1998). "Open-channel flow through simulated vegetation: Suspended sediment transport modelling." Water Resour. Res.WRERAQ0043-1397, 34(9), 2,341-2,352.
25. Lopez, F., and Garcia, M. H. (2001). "Mean flow and turbulence structure of open-channel flow through nonemergent vegetation." J. Hydraul. Eng. JHEND80733-942910.1061/(ASCE)0733-9429(2001)127:5(392), 127(5), 392-402.
26. Maddux, T. B., McLean, S. R., and Nelson, J. M. (2003). "Turbulent flow over three-dimensional dunes: 2, Fluid and bed stresses." J. Geophys. Res. JGREA20148-022710.1029/2003JF000018, 108(F1), 6010.
27. McLean, S. R., Wolfe, S. R., and Nelson, J. M. (1999). "Spatially averaged flow over a wavy boundary revisited." J. Geophys. Res. JGREA20148-022710.1029/1999JC900116, 104(C7), 15743-15753.
28. Monin, A. S., and Yaglom, A. M. (1971). Statistical fluid mechanics: Mechanics of turbulence. Vol. 1, MIT Press, Boston.
29. Murota, A., Fukuhara, T., and Sato, M. (1984). "Turbulence structure in vegetated open channel flows." J. Hydrosci. Hydr. Eng. ZZZZZZ0912-2508, 2(1), 47-61.
30. Naot, D., Nezu, I., and Nakagawa, H. (1996). "Hydrodynamic behavior of partly vegetated open channels." J. Hydraul. Eng. JHEND80733-942910.1061/(ASCE)0733-9429(1996)122:11(625), 122(11), 625-633.
31. Neary, V. S. (2003). "Numerical solution of fully developed flow with vegetative resistance." J. Eng. Mech. JENMDT0733-939910.1061/ (ASCE)0733-9399(2003)129:5(558), 129(5), 558-563.
32. Nezu, I., and Nakagawa, H. (1993). Turbulence in open-channel flows, Balkema, Rotterdam, Brookfield, The Netherlands.
33. Nield, D. A. (2001). "Alternative models of turbulence in porous medium and related matters." J. Fluids Eng. JFEGA40098-220210.1115/ 1.1413246, 123, 928-931.
34. Nikora, V. (2004). "Spatial averaging concept for rough-bed, open-channel, and overland flows." Proc., of the 6th Int. Conf. on HydroScience and Engineering (CD-ROM), Brisbane.
35. Nikora, V., (2007). "Double-averaging concept for rough-bed open-channel and overland flows: Applications." J. Hydraul. Eng. JHEND80733-9429, 133(8), 884-895.
36. Nikora, V., Goring, D., McEwan, I., and Griffiths, G. (2001). "Spatially averaged open-channel flow over rough bed." J. Hydraul. Eng. JHEND80733-942910.1061/(ASCE)0733-9429(2001)127:2(123), 127(2), 123-133.
37. Nikora, V., Koll, K., McEwan, I., McLean, S., and Dittrich, A. (2004a). "Velocity distribution in the roughness layer of rough-bed flows." J. Hydraul. Eng. JHEND80733-9429, 130(10), 1,036-1,042.
38. Nikora, V., Larned, S., and Biggs, B. (2004b). "Periphyton-flow interactions and mass-transfer-uptake processes." Proc., of the 5th Int. Symp. on Ecohydraulics, Aquatic Habitats: Analysis and Restoration (CD-ROM), Vol. 2, Madrid, 1141-1142.
39. Pedras, M. H. J., and de Lemos, M. J. S. (2000). "On the definition of turbulent kinetic energy for flow in porous media." Int. Commun. Heat Mass Transfer IHMTDL0735-193310.1016/S0735-1933(00)00102-0, 27(2), 211-220.
40. Pedras, M. H. J., and de Lemos, M. J. S. (2001). "Macroscopic turbulence modeling for incompressible flow through undeformable porous media." Int. J. Heat Mass TransferIJHMAK0017-9310, 44, 1,081-1,093.
41. Poggi, D., Katul, G. G., and Albertson, J. D. (2004a). "Momentum transfer and turbulent kinetic energy budgets within a dense canopy." Boundary-Layer Meteorol. BLMEBR0006-831410.1023/ B:BOUN.0000016502.52590.af, 111, 589-614.
42. Poggi, D., Katul, G. G., and Albertson, J. D. (2004b). "A note on the contribution of dispersive fluxes to momentum transfer within canopies." Boundary-Layer Meteorol. BLMEBR0006-8314, 111, 615-621.
43. Prat, M., Plouraboue, F., and Letalleur, N. (2002). "Averaged Reynolds equation for flows between rough surfaces in sliding motion." Transp. Porous Media TPMEEI0169-391310.1023/ A:1015772525610, 48, 291-313.
44. Raupach, M. R., Antonia, R. A., and Rajagopalan, S. (1991). "Rough-wall turbulent boundary layers." Appl. Mech. Rev. AMREAD0003-6900, 44(1), 1-25.
45. Raupach, M. R., and Shaw, R. H. (1982). "Averaging procedures for flow within vegetation canopies." Boundary-Layer Meteorol. BLMEBR0006-831410.1007/BF00128057, 22, 79-90.
46. Rowinski, P. M., and Kubrak, J. (2002). "A mixing-length model for predicting vertical velocity distribution in flows through emergent vegetation." Hydrol. Sci. J. HSJODN0262-6667, 47(6), 893-904.
47. Shimizu, Y., and Tsujimoto, S. (1994). "Numerical analysis of turbulent open-channel flow over vegetation layer using a turbulence model." J. Hydrosci. Hydr. Eng. ZZZZZZ0912-2508, 11(2), 57-67.
48. Siqueira, M., and Katul, G. (2002). "Estimating heat sources and fluxes in thermally stratified canopy flows using higher-order closure models." Boundary-Layer Meteorol. BLMEBR0006-8314, 103, 125-142.
49. Slattery, J. C. (1999). Advanced transport phenomena, Cambridge University Press, Cambridge, U.K.
50. Smith, J. D., and McLean, S. R. (1977). "Spatially averaged flow over a wavy surface." J. Geophys. Res. JGREA20148-0227, 83(12), 1,735-1,746.
51. Vu, T. C., Ashie, Y., and Asaeda, T. (2002). "A k-ε turbulence closure model for the atmospheric boundary layer including urban canopy boundary-layer meteorology." Boundary-Layer Meteorol. BLMEBR0006-831410.1023/A:1013878907309, 102(3), 459-490.
52. Walters, R. A. (2002). "From river to ocean: A unified modeling approach." Estuarine and coastal modeling, M. L. Spaulding, ed., ASCE, New York, 683-694.
53. Whitaker, S. (1985). "A simple geometrical derivation of the spatial averaging theorem." Chem. Eng. Educ. CHEDAY0009-2479, 19, 18-21 and 50-52.
54. Whitaker, S. (1992). Introduction to fluid mechanics, Krieger, Malabar, Fla.
55. Whitaker, S. (1999). The method of volume averaging, Kluwer Academic, Dordrecht.
56. Wilson, N. R., and Shaw, R. H. (1977). "A higher order closure model for canopy flow." J. Appl. Meteorol. JAMOAX0021-895210.1175/ 1520-0450(1977)016<1197:AHOCMF>2.0.CO;2, 16, 1197-1205.
57. Winterwerp, J. C., and van Kesteren, W. G. M. (2004). Introduction to the physics of cohesive sediment in the marine environment, Elsevier, Amsterdam, The Netherlands.
58. Yalin, M. S. (1977). Mechanics of sediment transport, Pergamon, Oxford, U.K.