You need to consider both the velocity and channel shear stresses. The slope of your channel is steep, gabions may be an appropriate choice if there are not fish in the channel. I generally start with the following references:
A: FHWA HEC-15 available from
or B: Hydraulic Design of Flood Control Channels by USACE, Publication EM 1110-2-1601
available from
or C: State of Washington Department of Transportation Hydraulics Manual
Things to keep in mind:
1. Manning's roughness is a function of the bed material and flow depth. For large diameter material, n is typically higher than the "standard" values used for rock channels; n is likely higher than 0.035. WinXS-Pro is useful software to analyze the depth vs. n relationship. If you pick a Manning's roughness from a table, understand what it is based on.
A review of the classic Chow book on Hydraulics and the photos that correspond to the published n-values reveals that typical n values were calibrated for medium to large streams and rivers; I do not recall that any were from small streams as small as 10 cfs, such as yours.
Using the higher n-value will lead to deeper flow, which will increase the channel shear values computed using the standard HEC-15 method, which relates to the size of riprap.
2. You will have to design the filter layers beneath the riprap or else underlying fine grain soil material could tend to erode, leading to channel instability. You can use a geotextile or layers of progressively finer grained materials. The only reference I can find at the moment for filter layers is in EM 1110-2-1901 Appendix D, see the link above.
3. Consider keying in some "rock bands" so that if some displacement occurs, there is deeper section of big rock to stop or slow down migration of any "nick points" that could emerge.
Good luck,
BLT