Determination of flow resistance caused by non‐submerged woody vegetation

Abstract This paper investigates the determination of flow resistance caused by stiff and flexible woody vegetation. A new procedure has been developed which allows the determination of friction factor f or Manning's n using measurable characteristics of vegetation and flow. The procedure is capable of predicting flow resistance due to: (1) leafless bushes or trees and (2) leafy bushes or trees. The application of the procedure is limited to non‐submerged flow (h ≤ H) and relatively low velocity (U < 1 m/s), which are typical conditions in low‐gradient stream valleys, floodplains and wetlands. The procedure is novel in that it uses sound hydraulic principles and methods that are available but incorporates some adjustments based on the knowledge on mechanical design of trees and deformation of foliage in a flow. The procedure is able to account for the natural branched structure in determining area or volume of a woody plant. This makes the prediction of resistance caused by plants more accurate than if they were treated as arbitrary cylinders. The accuracy of the approach to estimate f and U was somewhat better for the leafless condition (mean error of f was -5% to+4%) compared to the leafy condition (mean error of f was -9% to -3%). The presented procedure is intended as a practical tool for estimating the relationship between plant characteristics and flow resistance for flows over floodplains and wetlands growing woody vegetation.

[1]  R. Horton EROSIONAL DEVELOPMENT OF STREAMS AND THEIR DRAINAGE BASINS; HYDROPHYSICAL APPROACH TO QUANTITATIVE MORPHOLOGY , 1945 .

[2]  H. A. Einstein,et al.  Fluid resistance of composite roughness , 1950 .

[3]  A. N. Strahler Hypsometric (area-altitude) analysis of erosional topography. , 1952 .

[4]  S. Schumm EVOLUTION OF DRAINAGE SYSTEMS AND SLOPES IN BADLANDS AT PERTH AMBOY, NEW JERSEY , 1956 .

[5]  H. Barnes Roughness characteristics of natural channels , 1967 .

[6]  J. Nash,et al.  River flow forecasting through conceptual models part I — A discussion of principles☆ , 1970 .

[7]  Nicholas Kouwen,et al.  FLEXIBLE ROUGHNESS IN OPEN CHANNELS , 1973 .

[8]  Ruh-Ming Li,et al.  EFFECT OF TALL VEGETATIONS ON FLOW AND SEDIMENT , 1973 .

[9]  G. Klaassen,et al.  Roughness Coefficients Of Vegetated Flood Plains , 1974 .

[10]  S. Petryk,et al.  Analysis of Flow through Vegetation , 1975 .

[11]  T. A. Macmahon,et al.  The mechanical design of trees , 1975 .

[12]  John A. Roberson,et al.  A Theory of Flow Resistance for Vegetated Channels , 1976 .

[13]  T. McMahon,et al.  Tree structures: deducing the principle of mechanical design. , 1976, Journal of theoretical biology.

[14]  Nicholas Kouwen,et al.  BIOMECHANICS OF VEGETATIVE CHANNEL LININGS , 1980 .

[15]  S. Vogel Life in Moving Fluids: The Physical Biology of Flow , 1981 .

[16]  Klaus Lindner Der Strömungswiderstand von Pflanzenbeständen , 1982 .

[17]  E. Pasche,et al.  Overbank Flow with Vegetatively Roughened Flood Plains , 1985 .

[18]  Darrel M. Temple,et al.  Stability design of grass-lined open channels , 1987 .

[19]  J. Welles Some indirect methods of estimating canopy structure , 1990 .

[20]  N. Kouwen,et al.  Modern approach to design of grassed channels , 1992 .

[21]  Unstable patterns in partly vegetated channels , 1996 .

[22]  Vedrana Kutija,et al.  A numerical model for assessing the additional resistance to flow introduced by flexible vegetation , 1996 .

[23]  T. Tsujimoto,et al.  HYDRAULIC RESISTANCE OF FLOW WITH FLEEXIBLE VEGETATION IN OPEN CHANNEL , 1996 .

[24]  P. Stenberg,et al.  Response of LAI-2000 estimates to changes in plant surface area index in a Scots pine stand. , 1996, Tree physiology.

[25]  J. Welles,et al.  Canopy structure measurement by gap fraction analysis using commercial instrumentation , 1996 .

[26]  M. Fathi-Maghadam,et al.  Nonrigid, Nonsubmerged, Vegetative Roughness on Floodplains , 1997 .

[27]  Werth,et al.  Predicting Resistance and Stability of Vegetation in Floodplains , 1997 .

[28]  M. Oplatka Stabilität von Weidenverbauungen an Flussufern , 1998 .

[29]  D. M. Hicks,et al.  Roughness Characteristics of New Zealand Rivers , 1998 .

[30]  Fu‐Chun Wu,et al.  Variation of Roughness Coefficients for Unsubmerged and Submerged Vegetation , 1999 .

[31]  H. Nepf Drag, turbulence, and diffusion in flow through emergent vegetation , 1999 .

[32]  Gary E. Freeman,et al.  Determination of Resistance Due to Shrubs and Woody Vegetation , 2000 .

[33]  N. Kouwen,et al.  Friction Factors for Coniferous Trees along Rivers , 2000 .

[34]  Fabián López,et al.  Mean Flow and Turbulence Structure of Open-Channel Flow through Non-Emergent Vegetation , 2001 .

[35]  Jonathan M. Nelson,et al.  Roughness Characteristics of New Zealand Rivers , 2001 .

[36]  T. Sturm,et al.  Open Channel Hydraulics , 2001 .

[37]  J. Järvelä Determination of flow resistance of vegetated channel banks and floodplains , 2002 .

[38]  Juha Järvelä,et al.  Flow resistance of flexible and stiff vegetation: a flume study with natural plants , 2002 .

[39]  B. Yen Open Channel Flow Resistance , 2002 .

[40]  REMOTE SENSING ANALYSIS OF THE FLOODPLAIN VEGETATION STRUCTURE WITHIN A SECTION OF THE MIDDLE VISTULA RIVER , 2003 .

[41]  Tiit Nilson,et al.  Gap fraction based estimation of LAI in Scots pine stands subjected to experimental removal of branches and stems , 2003 .

[42]  Andres Kuusk,et al.  Application of a forest reflectance model in estimating leaf area index of Scots pine stands using Landsat-7 ETM reflectance data , 2003 .

[43]  C. S. James,et al.  Experimental Study of Bed Load Transport through Emergent Vegetation , 2003 .

[44]  Catherine Wilson,et al.  Application of a 3D numerical model to a river with vegetated floodplains , 2003 .