Fundamentals of Engineering Design
less than 16,000 ppm (Brownlie, 1981). The equation applies to sand ranging from 0.062 to 2.0 mm.
Brownlie's (1983) sediment transport equation is as follows:
&0.3301
R
1.978
0.6601
C ' 7115 C F (Fg & Fg )
Sf
(5.14)
D50
o
where:
Fg ' 4.596 J(c0.5293 S f&0.1405 Fg&0.1606
(5.15)
o
where: C
=
sediment concentration (ppm);
CF
=
coefficient for field data; CF = 1 for lab data and 1.268 for field data;
D50
=
median grain size of the sediment particles;
Sf
=
slope of the energy grade line;
R
=
hydraulic radius;
*c
=
critical Shields parameter; and
(d84/d16)
g
=
The critical Shield's parameter is calculated by Eq. (5.16), as defined by Brownlie:
J( ' 0.22Y % 0.06(10)&7.7Y
(5.16)
c
where:
&0.6
Ds&D
(5.17)
Y'
Rg
D
where: s = density of the sediment particles;
= density of water; and
Rg = grain Reynolds number defined by the following equation:
3
gD50
(5.18)
Rg '
<
where:
= kinematic viscosity of water;
D50 = median grain size; and
g = acceleration due to gravity.
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