Design of Stable Channels CH-4

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Design of Stable Channels CH-4 Grass-Lined Channels

Providing Channel Protection For bare soil channels, allowable shear stress is small – Results in channels that are wide with shallow flows If the channel can be protected from erosion, then allowable velocities can be increased – Vegetation! Grass-lined channels are common in urban areas to transmit storm water Usually preferred to concrete lined channels Design is different because these channels cannot withstand lengthy inundation and wetness Channel Roughness – Manning’s n becomes a strong function of U, Rh, and vegetation type (height) Experimental work has shown that Manning’s n can be related to URh

Retardance Classes (SCS, 1969)

Guide to Selection of Vegetal Retardance

Manning’s n-URh Relationship

Manning’s n-URh Relationship Temple et al. (1987) developed the following approximation for the Manning’s n–URh relationships: Retardance I A 10.000 B 7.643 C 5.601 D 4.436 E 2.876

Maximum Permissible Velocities Suggested by SCS based on channel slope and erodibility of soil

Maximum Permissible Velocities

Freeboard Requirement Freeboard requirement (should be at least 30 cm):

Design Procedure Stage 1 Assume an n value and determine value of URh The lower bound retardance of the channel is specified based on the type of grass Select maximum permissible velocity and compute the value of Rh Use Manning’s equation and the assumed value of n to compute a URh Repeat steps 1-4 until the values of URh agree Determine A from the design flow and maximum permissible velocity Determine the channel proportions for the calculated values of Rh and A

Design Procedure Stage 2 Assume a depth of flow for the channel identified in Stage 1 of the design and compute A and Rh Compute the average velocity, U = Q/A Compute URh using steps 1 and 2 Use the results of step 3 to determine n using the upper bound retardance Use the n from step 4, Rh from step 1, and the Manning equation to compute U Repeat steps 1 through 5 until values of U in steps 2 and 5 are approximately equal Add the appropriate freeboard

Example Design a triangular grass-lined channel to handle an intermittent flow of 0.7 m3/s. The channel is to be excavated in an easily erodible soil (d50 = 1 mm, j = 35o) on a longitudinal slope of 2%, and lined with Bermuda. During the early stages of the channel development, the height of the grass will be maintained at 4 cm; during the latter stages of development, the Bermuda will be at a height of 30 cm.