online_ackers_white: Calculation of sediment discharge by the Ackers-White formula |
| Formulas:
Q = V D B • dgr = d50 [ g (Ss - 1) / ν2 ] 1/3 u* = (g D S )1/2 • n = 1 - 0.56 log (dgr) A = [ 0.23 / dgr1/2 ] + 0.14 • α = 10 Fgr = { u* n / [ g d50 (Ss - 1) ] 1/2 } { V / [ 321/2 log (α D / d50) ] } 1 - n
m = (6.83 / dgr ) + 1.67
•
C = 10 2.79 log (dgr) - 0.98 [ log (dgr ) ]2 - 3.46
Ggr = C [ ( Fgr / A ) - 1 ] m
•
X = Ggr Ss d50 / [ D (u* / V ) n ]
G = γw Q X
Reference 2: Ackers, P., and W. R. White (1973): Sediment transport: New approach and analysis,
Corrections (1993). | |
SI Units (metric): Hydraulic depth D in m; channel width B in m; mean velocity V in m/s; bottom slope So in m/m; mean diameter d50 in mm;
temperature in degrees Celsius.
U.S. Customary Units: Hydraulic depth D in ft; channel width B in ft; mean velocity V in fps; bottom slope So in ft/ft; mean diameter d50 in mm; temperature in degrees Fahrenheit. |
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