Scaling of Velocity Profiles for Depth-Limited Open Channel Flows over Simulated Rigid Vegetation

AbstractUsing the plane mixing layer analogy, a length scale is proposed to normalize velocity profiles for vegetated open channel flows. The new scaling is an improvement over those based on the logarithmic, velocity-defect, and power laws in collapsing the velocity profiles, which include measurements conducted in this study and also those reported in the literature for a variety of flow and vegetation configurations. An eddy viscosity model is also developed to justify the scaling argument. This study is limited to rigid vegetation submerged in depth-limited flows, in which the flow depth is no greater than twice the vegetation height.

[1]  Chih-Ming Ho,et al.  Perturbed Free Shear Layers , 1984 .

[2]  Iehisa Nezu,et al.  Turburence structure and coherent motion in vegetated canopy open-channel flows , 2008 .

[3]  V. Babovic,et al.  On inducing equations for vegetation resistance , 2007 .

[4]  Panayiotis Diplas,et al.  An experimental study of flow through rigid vegetation , 2008 .

[5]  Suzanne J.M.H. Hulscher,et al.  Analytical solution of the depth‐averaged flow velocity in case of submerged rigid cylindrical vegetation , 2007 .

[6]  Nicholas Kouwen,et al.  Flow Retardance in Vegetated Channels , 1969 .

[7]  N. Cheng Power-law index for velocity profiles in open channel flows , 2007 .

[8]  Iehisa Nezu,et al.  Turbulence in open-channel flows , 1993 .

[9]  Cheng‐lung Chen,et al.  Unified Theory on Power Laws for Flow Resistance , 1991 .

[10]  Brian M. Stone,et al.  Hydraulic resistance of flow in channels with cylindrical roughness , 2002 .

[11]  Sung‐Uk Choi,et al.  Impact of stem flexibility on mean flow and turbulence structure in depth-limited open channel flows with submerged vegetation , 2009 .

[12]  Marco Ghisalberti,et al.  The Structure of the Shear Layer in Flows over Rigid and Flexible Canopies , 2006 .

[13]  J. Finnigan,et al.  Coherent eddies and turbulence in vegetation canopies: The mixing-layer analogy , 1996 .

[14]  S. Pope Turbulent Flows: FUNDAMENTALS , 2000 .

[15]  Yee-Meng Chiew,et al.  Modified Logarithmic Law for Velocity Distribution Subjected to Upward Seepage , 1998 .

[16]  H. Nepf,et al.  Shallow Flows Over a Permeable Medium: The Hydrodynamics of Submerged Aquatic Canopies , 2009 .

[17]  Comparison of Quadratic and Power Law for Nonlinear Flow through Porous Media , 2008 .

[18]  Jeffrey Tsaros Rominger,et al.  Interaction between flow, transport and vegetation spatial structure , 2008 .

[19]  Nian-Sheng Cheng,et al.  Hydraulic Radius for Evaluating Resistance Induced by Simulated Emergent Vegetation in Open-Channel Flows , 2011 .

[20]  Enrique R. Vivoni,et al.  Flow structure in depth-limited, vegetated flow , 2000 .

[21]  P. Diplas,et al.  Hydrodynamics of flow through double layer rigid vegetation , 2010 .

[22]  J. Finnigan,et al.  A wind tunnel study of air flow in waving wheat: Two-point velocity statistics , 1994 .

[23]  R. A. Antonia,et al.  Rough-Wall Turbulent Boundary Layers , 1991 .

[24]  H. Schlichting Boundary Layer Theory , 1955 .