Flow through Trapezoidal and Rectangular Channels with Rigid Cylinders
This article has been corrected.
VIEW CORRECTIONPublication: Journal of Hydraulic Engineering
Volume 133, Issue 5
Abstract
A physical model study was performed in which wood dowels were used to model rigid vegetation. The dowel configurations used in the flume were intended to simulate the effects of willow post systems (i.e., collections of rigid cylinders placed along a streambank to reduce streambank erosion). In addition, an analytical model is presented for predicting depth-averaged velocity distributions in straight trapezoidal or rectangular channels with newly constructed willow post systems. The analytical model is founded on wake theory and is applicable to channels with submerged and unsubmerged rigid cylinders. Data from three independent physical model studies were used to validate the analytical model. Depth-averaged velocities predicted using the analytical model, , were compared to velocities observed in the physical models, , and yielded discrepancy ratios, , that were typically between 0.80 and 1.20. Results from this study are that significant variables for reducing local velocities are cylinder height, diameter, and density (number of cylinders per unit area); and the arrangement of the cylinders (i.e., rectangular versus staggered grid) is inconsequential.
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Acknowledgments
This work was supported by the STC program of the National Science Foundation via the National Center for Earth-surface Dynamics under Agreement No. NSFEAR-0120914 and is intended as a contribution in the area of stream restoration. The writer acknowledges the support of the U.S. Army Corps of Engineers, Engineering Research and Development Center at Waterways Experiment Station. The writer thanks Dr. Chester C. Watson and Dr. Steven R. Abt (my Ph.D. thesis coadvisors) for the introduction to willow posts, and three anonymous reviewers for their substantial contribution to improving this paper.
References
Abt, S. R., Watson, C. C., Burgi, J. P., Derrick, D. L., and Batka, J. H. (1996). “Willow posts construction and evaluation on Harland Creek, Mississippi.” Proc., 6th Federal Interagency Sedimentation Conf. (CD-ROM), U.S. Geological Survey, Reston, Va., II14-II23.
Barnes, R. C., Jr. (1968). “Streambank erosion.” Soil Conservation, 33(6), 126–128.
Chow, V. T. (1959). Open-channel hydraulics, McGraw-Hill, New York.
Coppin, N. J., and Richards, I. G., eds. (1990). Use of vegetation in civil engineering, Butterworths, London.
Derrick, D. L. (1997). “Harland Creek bendway weir/willow post bank stabilization demonstration project.” S. Y. Wang, E. J. Langendoen, and F. D. Shields, Jr., eds., Management of landscapes disturbed by channel incision, Univ. of Mississippi, Oxford, Miss., 351–356.
Dunn, C., Lopez, F., and Garcia, M. (1996). “Mean flow and turbulence in a laboratory channel with simulated vegetation.” Hydrosystems Lab, hydraulic engineering series no. 51, UIUL-ENG-96-2009, Univ. of Illinois at Urbana–Champaign, Urbana, Ill.
Eskinazi, S. (1959). “Mixing of wakes in a turbulent shear flow.” NASA Technical Note D-83, NASA, Washington, D.C.
Fenzl, R. N., and Davis, J. R. (1964). “Hydraulic resistance relationships for surface flow in vegetated channels.” Trans. ASAE, 7, 46–51, 55.
Fischenich, J. C. (1996). “Velocity and resistance in densely vegetated floodways.” Ph.D. thesis, Colorado State Univ., Fort Collins, Colo.
Fisher, K. (1995). “Modelling the hydraulic impact of vegetation in river channels.” Rep. No. SR 346, HR Wallingford, Wallingford, U.K.
Flippin-Dudley, S. J. (1997). “Vegetation measurements for estimating flow resistance.” Ph.D. thesis, Colorado State Univ., Fort Collins, Colo.
Gray, D. H., and Leiser, A. T. (1982). Biotechnical slope protection and erosion control, Van Nostrand, New York.
Gray, D. H., and Sotir, R. B. (1995). Biotechnical and soil bioengineering slope stabilization, Wiley, New York.
Gwinn, W. R., and Ree, W. O. (1980). “Maintenance effects on the hydraulic properties of a vegetation-lined channel.” Trans. ASAE, 23(3), 636–642.
Hicks, D. M., and Mason, P. D. (1991). Roughness characteristics of New Zealand Rivers, Water Resources Survey, Dept. of Scientific and Industrial Research Marine and Freshwater, Wellington, New Zealand.
Hill, P. G., Schaub, U. W., and Senoo, Y. (1963). “Turbulent wakes in pressure gradients.” J. Appl. Mech., 30(4), 518–524.
Knight, D. W., and Abril, J. B. (1996). “Refined calibration of a depth-averaged model for turbulent flow in a compund channel.” Proc. Inst. Civ. Eng., Waters. Maritime Energ., 118, 151–159.
Knight, D. W., and Shiono, K. (1996). “River channel and floodplain hydraulics.” Floodplain processes, M. G. Anderson, D. E. Walling, and P. D. Bates, eds., Wiley, Chicaster, U.K., 139–181.
Knight, D. W., Yuen, K. W. H., and Al-Hamid, A. A. I. (1994). “Boundary shear stress distributions in open channel flow.” Mixing and transport in the environment: A memorial volume for Catherine M. Allen, K. J. Beven, P. C. Chatwin, and J. H. Millbank, eds., Wiley, Chicaster, U.K., 51–87.
Kouwen, N. (1988). “Field estimation of the biomechanical properties of grass.” J. Hydraul. Res., 26(5), 559–568.
Kouwen, N., and Unny, E. T. (1973). “Flexible roughness in open channels.” J. Hydr. Div., 99(5), 713–728.
Li, R.-M., and Shen, H. W. (1973). “Effect of tall vegetations on flow and sediment.” J. Hydr. Div., 99(5), 793–814.
Lopez, F., and Garcia, M. (1997). “Open-channel flow through simulated vegetation: Turbulence modeling and sediment transport.” Wetlands Research Program Tech. Rep. No. WRP-CP-10, U.S. Army Corps of Engineers, Waterways Experiment Station, Vicksburg, Miss.
Musleh, F. A., and Cruise, J. F. (2006). “Functional relationships of resistance in wide flood plains with rigid unsubmerged vegetation.” J. Hydraul. Eng., 132(2), 163–171.
National Research Council. (1992). Restoration of aquatic ecosystems—Science, technology, and public policy, National Academy Press, Washington, D.C.
Petryk, S. (1969). “Drag on cylinders in open channel flow.” Ph.D. thesis, Colorado State Univ., Fort Collins, Colo.
Petryk, S., and Bosmajian, G., (1975). “Analysis of flow through vegetation.’ J. Hydr. Div., 101(7), 871–884.
Pezeshki, S. R., and Shields, F. D., Jr. (2006). “Black willow cutting survival in streambank plantings, southeastern United States.” J. Am. Water Resour. Assoc., 42(1), 191–200.
Rahmeyer, W., Werth, D., and Cleere, R. (1994). “The study of resistance and stability of vegetation in flood channels.” Utah State University Lab Rep. No. USU-376, Utah State Univ., Utah Water Research Lab, Logan, Utah.
Reichardt, H. (1943). “On a new theory of free turbulence.” J. R. Aeronaut. Soc., 47, 167–176.
Roseboom, D. P. (1992). “Streambank stabilization training course notes.” Unnumbered, Illinois State Water Survey, Peoria, Ill.
Schiechtl, H. M. (1980). Bioengineering for land reclamation and conservation, N. K. Horstmann, trans. coord., University of Alberta Press, Edmonton, Alta., Canada.
Schiechtl, H. M., and Stern, R. (1997). Water bioengineering techniques for watercourse bank and shoreline protection, L. Jaklitsch, trans., and D. H. Barker, ed., Blackwell Science, Klosterneuburg, Austria.
Stone, B. M. (1997). “Hydraulics of flow in vegetated channels.” MS thesis, Clarkson Univ., Potsdam, New York.
Stone, B. M., and Shen, H. T. (2002). “Hydraulic resistance of flow in channels with cylindrical roughness.” J. Hydraul. Eng., 128(5), 500–506.
Temple, D. M. (1991). “Changes in vegetal resistance during long-duration flows.” Trans. ASAE, 34(4), 1769–1774.
U.S. Army Corps of Engineers (USACE). (1981). “The streambank erosion control evaluation and demonstration act of 1974, Section 32, Public Law 93-251.” Main Rep. of Final Rep. to Congress, U.S. Government Printing Office, Washington, D.C.
U.S. Geological Survey (USGS). (1977). National handbook of recommended methods for water-data acquisition, Chap. 1, Office of Water Data Coordination, Geological Survey, U.S. Dept. of the Interior, Reston, Va.
Wark, J. B., Slade, J. E., and Ramsbottom, D. M. (1991). “Flood discharge assessment by the lateral distribution method.” Rep. No. SR 277, HR Wallingford, Wallingford, U.K.
Watson, C. C., Abt, S. R., and Derrick, D. (1997). “Willow posts bank stabilization.” J. Am. Water Resour. Assoc., 33(2), 293–300.
Watson, C. C., Abt, S. R., and Thornton, C. I. (1994). Recommendations for bioengineering stabilization of five sites on Harland Creek, Mississippi, Colorado State Univ., Dept. of Civil Engineering, Fort Collins, Colo.
White, F. M. (1991). Viscous fluid flow, 2nd Ed., McGraw-Hill, New York.
Wilkerson, G. V. (1999). “Near-bank processes, bioengineering, and the dormant willow post method.” Ph.D. thesis, Colorado State Univ., Fort Collins, Colo.
Wilkerson, G. V., and McGahan, J. L. (2005). “Depth-averaged velocity distribution in straight trapezoidal channels.” J. Hydraul. Eng., 131(6), 509–512.
Wu, T. H. (1995). “Slope stabilization.” Slope stabilization and erosion control: A bioengineering approach, R. P. C. Morgan and R. J. Rickson, eds., E & FN Spon, London, 221–264.
Yang, S.-Q., Yu, J.-X., and Wang, Y.-Z. (2004). “Estimation of diffusion coefficients, lateral shear stress, and velocity in open channels with complex geometry.” Water Resour. Res., 40, W05202.
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Information
Published In
Journal of Hydraulic Engineering
Volume 133 • Issue 5 • May 2007
Pages: 521 - 533
Copyright
© 2007 American Society of Civil Engineers.
History
Received: Jan 29, 2004
Accepted: Sep 18, 2006
Published online: May 1, 2007
Published in print: May 2007
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