K u y1/ 6
o
n=
(3.19)
y
1.16 + 2 log o
D 84
Ku = 0.113
(yo and D84 in meters)
Ku = 0.0927
(yo and D84 in feet)
An alternative approach, valid when R/D50 > 10, is to evaluate the Darcy-Weisbach friction
factor, f, as a function of the hydraulic radius, R, with:
1/ 4
R
1
= 1.9
(3.20)
D
f
84
R
1
= 2.0 log
+ 1.1
(3.21)
D
f
84
Note: R and D84 in same units (meters, feet)
Manning's n can then be calculated from the relationship between R and f :
n = K u R1/ 6 f
(3.22)
Ku = 0.113
(R in meters)
Ku = 0.0927
(R in feet)
This approach should not be applied to river reaches with active beds or significant sediment
transport.
Charlton et al. (1978) and Bray (1979) have proposed the guidelines in Table 3.3 to estimate
D90, D84, and D65, for gravel-bed material when size distribution curves cannot be obtained
from field data.
Table 3.3. Typical Sediment Size Distribution for Gravel-Bed Stream.
Ratio
Mean Value
Standard Deviation
D90/D50
2.1
0.46
D84/D50
1.9
0.36
D65/D50
1.3
0.08
3.31