[ yo, y1, Q and W in any consistent set of units ] [ S1 in m/m or ft/ft ] [ T in °C or °F ] [ D50 in mm or ft ]
Reference:
Evaluating Scour at Bridges, FHWA Hydraulic Engineering Circular No. 18, Fifth Edition, 2012.
Mean flow depth below the bridge, before scour yo = 1.0 m
Mean flow depth upstream of the bridge y1 = 2.0 m/s
Discharge upstream of the bridge (only in the main channel) Q1 = 10.0 m3/s
Discharge in the contracted section Q2 = 8.0 m3/s
Bottom width in the section upstream of the bridge W1 = 2.0 m
Bottom width in the contracted section, excluding piers W2 = 1.0 m
Energy slope in the main channel upstream S1 = 0.002 m/m
Median diameter of the bed material D50 = 2.0 mm
Water Temperature T = 20oC
Contraction scour depth under live bed conditions ys = 1.57 m