Estimating boundary shear stress along vegetated streambanks with turbulent kinetic energy

Boundary shear stress (BSS) is critical to correctly predict streambank erosion rates and stable channel design and has been estimated using turbulent kinetic energy (TKE). Typically TKE is used in ocean and fluvial environments to determine bed shear stress where the proportionality coefficient (C1) ranges from 0.19 to 0.21. TKE has only recently been used to estimate boundary shear stress along sloping streambanks. This study examined the relationship between boundary shear stress and turbulent kinetic energy along vegetated streambanks for three vegetation treatments: bare, tree, and shrub. A flume study was conducted, modeling a second order prototype stream (Tom’s Creek in Blacksburg, VA) with individual reaches dominated by two vegetation types (trees and shrubs). Boundary shear stress was measured using a flush-mount hot-film anemometer, and three-dimensional velocity was measured using an acoustic Doppler velocimeter 0.5 cm from the boundary. The relationship between TKE and BSS (BSS=C1TKE) was examined by calculating a no-intercept regression model. The calculated C1 ranged from 0.11 to 0.53 for all vegetation types (MRes=0.018-0.086). No-intercept regression models with TKE and the Reynolds stresses (τuv, τuw, and τvw) were also examined as Reynolds stresses have been used to calculate C1. There was better agreement with the reported C1 range for the TKE and Reynolds stress relationship (C1=0.17-0.21 and MRes<0.0072 for the τvw relationship) than with the measured values of shear stress, likely due to the dominance of turbulence generation. While these results are consistent with previously reported values, the relationship should be further explored with measured values of shear stress to determine the trends along hydraulically rough boundaries.