Atmospheric Momentum Roughness Applied to Stage-Discharge Relationships in Flood Plains
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Abstract
A numerical model is developed to determine the flow depth and discharge relationship for turbulent flows over vegetated flood plains. The model is based on the turbulent boundary layer similarity concepts developed for atmospheric and pipe flow hydraulics. Here, the Darcy–Weisbach formula is modified to account for vegetative resistance by application of surface roughness lengths developed from atmospheric methodologies. Such roughness lengths are well defined for many natural surfaces and can be determined from existing databases of vegetative surfaces or directly measured for specific sites. The model estimates of the flood flow discharges from a natural site are compared to observed data. The results show very good agreement with errors on the order of 7–8%. A sensitivity analysis was conducted to evaluate the effect of channel characteristics on discharge.
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References
Abdelsalam, M. W., Khattab, A. F., Khalifa, A. A., and Bakry, M. F.(1992). “Flow capacity through wide and submerged vegetal channels.” J. Irrig. and Drain Div., 118(5), 724–732.
Blasius, H.(1911). “Das ähnlichkeitsgesetz bei reibundsvorgängen.” Phys. Z., 12, 1175–1177.
Brater, E. F., King, H. W., Lindell, J. E., and Wei, C. Y. (1996). Handbook of hydraulics, 7th Ed., McGraw-Hill, New York.
Brutsaert, W. (1982). Evaporation into the atmosphere: theory, history, and applications, Kluwer Academic, Dordrecht, The Netherlands.
Brutsaert, W.(1993). “Horton, pipe hydraulics, and the atmospheric boundary layer.” Bull. Am. Meteorol. Soc., 74(6), 1131–1139.
Chadwick, A. and Morfett, J. (1998). Hydraulics in civil and environmental engineering, 3rd Ed., E&FN Spon, London.
Chow, V. T. (1959). Open channel hydraulics, McGraw-Hill, New York.
Christensen, B. A., and Davie, S. (1997). “Replacing Manning's formula by the Darcy-Weisbach formula in analysis of vegetated floodplains.” Proc., Int. Conf. on Advances in Ground Water Hydrology, American Institute of Hydrology, St. Paul, Minn., 294–299.
Cook, N. J. (1985). “Designer's guide to wind loading of building structures Part 1: background, damage survey, wind data and structural classification building.” Building Research Establishment Rep., Butterworths, London.
Darby, S. E.(1999). “Modeling effect of riparian vegetation on flow resistance and flood potential.” J. Hydrologic Eng., 125(5), 443–454.
Darby, S. E., and Thorne, C. R.(1996). “Predicting stage-discharge curves in channels with bank vegetation.” J. Hydrologic Eng., 112(10), 583–586.
Davenport, A. G.(1960). “Rationale of determining design wind velocities.” ASCE J. Struct. Div., 68, 39–68.
Farah, H. O.and Bastiaansen, W. G. M.(2001). “Impact of spatial variations of land surface parameters on regional evaporation: A case study with remote sensing data.” Hydrolog. Process., 15(9), 1585–1607.
Hansen, F. (1993). “Surface roughness lengths.” Rep. No. ARL-TR-61, Army Research Laboratory.
Hey, R. D.(1979). “Flow resistance in gravel-bed rivers.” J. Hydraul. Eng., 105(4), 365–379.
Hydrologic Engineering Center (HEC). (1998). HEC-RAS river analysis system user's manual, version 2.2, Computer Program Document CPD-68, U.S. Army Corps of Engineers, Davis, Calif.
Jacobs, J. M., and Brutsaert, W.(1998). “Momentum roughness and view-angle dependent heat roughness at a southern great plains test-site.” J. Hydrol., 211(1–4), 61–68.
Kadlec, R. H.(1990). “Overland flow in wetlands: Vegetation resistance.” J. Hydrologic Eng., 116(5), 691–706.
Kouwen, N.(1988). “Field estimation of the biomechanical properties of grass.” J. Hydraul. Res., 26(5), 559–568.
Kouwen, N., and Li, R. M.(1980). “Biomechanics of vegetative channel linings.” J. Hydraul. Div., Am. Soc. Civ. Eng., 106(6), 1085–1106.
Kouwen, N., Unny, T. E., and Hill, A. M.(1969). “Flow retardance in vegetated channels.” J. Img. and Drain. Div., 95(2), 329–342.
Kustas, W. P., and Brutsaert, W.(1986). “Wind profile constants in a neutral atmospheric boundary layer over complex terrain.” Boundary–Layer Meteorol., 34(1–2), 35–54.
Masterman, R., and Thorne, C. R.(1992). “Predicting influence of bank vegetation on channel capacity.” J. Hydraul. Eng., 118(7), 1052–1058.
Masterman, R., and Thorne, C. R. (1994). “Analytical approach to flow resistance in gravel-bed channels with vegetated banks.” Process models and theoretical geomorphology, M. J. Kirkby, ed., Wiley, U.K., 201–218.
Monteith, J. L. and Unsworth, M. H. (1990). Principles of Environmental Physics, Edward Arnold, New York.
Oke, T. R. (1978). Boundary layer climates, Methuen, London.
Parlange, M. B., and Katul, G. G.(1995). “Watershed scale shear stress from tethersonde wind profile measurements under near neutral and unstable atmospheric stability.” Water Resour. Res., 31(4), 961–968.
Petryk, S., and Bosmajian, III, G.(1975). “Analysis of flow through vegetation.” J. Hydraul. Div., Am. Soc. Civ. Eng., 101(7), 871–884.
Prandtl, L.(1932). “Meteorologische anwendungen der stromungslehre.” Betr. Phys. Fr. Atmosphere, 19, 188–202.
Prandtl, L., and Tollmien, W.(1924). “Die windverteilung über dem erdboden, errechnet aus den gesetzen der rohrströmung.” Z. Geophysik, 1, 47–55.
Rango, A., Chopping, M., Ritchie, J., Havstad, K., Kustas, W., and Schmugge, T.(2000). “Morphological characteristics of shrub coppice dunes in desert grasslands of Southern New Mexico derived from scanning LIDAR.” Remote Sens. Environ., 74(1), 26–44.
Raupach, M.(1992). “Drag and drag partition on rough surfaces.” Boundary–Layer Meteorol., 60(4), 375–395.
Schaffranek, R. W., Baltzer, R. A., and Goldberg, D. E. (1981). “Book 7, Chapter 3: A model for simulation of flow in singular and interconnected channels: U.S. Geological Survey Techniques of Water-Resources Investigations.” 1–110.
Schaudt, K. J., and Dickinson, R. E.(2000). “An approach to deriving roughness length and zero-plane displacement height from satellite data, prototyped with BOREAS data.” Agric. Forest Meteorol., 104(2), 143–155.
Schlichting, H. (1979). Boundary Layer Theory, 7th Ed., McGraw-Hill, New York.
Sugita, M.and Brutsaert, W.(1990). “Wind velocity measurements in the neutral boundary layer above hilly prairie.” J. Geophys. Res., [Atmos.], 95(D6), 7617–7624.
Task Force on Friction Factors in Open Channel. (1963). “Friction factors in open channels.” J. Hydraul. Div., Am. Soc. Civ. Eng., 89(2), 97–143.
Troen, I., Mortensen, N. G., and Petersen, E. L. (1987). WasP wind analysis and application programme, User's Guide, Risø National Laboratory, Denmark.
U.S. Army Engineer Waterways Experiment Station (USAE–WES). (1995). Users guide to RMA2 WES, Version 4.3. Vicksburg, Miss.
Wieringa, J.(1993). “Representative roughness parameters for homogeneous terrain.” Boundary–Layer Meteorol., 63(4), 323–363.
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Published In
Journal of Hydrologic Engineering
Volume 8 • Issue 2 • March 2003
Pages: 99 - 104
Copyright
Copyright © 2003 American Society of Civil Engineers.
History
Received: Aug 25, 1999
Accepted: Sep 13, 2002
Published online: Feb 14, 2003
Published in print: Mar 2003
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