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Flow Characteristics

The Cutthroat Flume was developed to provide accurate flow measurement with a precision of +/-3% under free-flow conditions.

This accuracy holds when the ratio of flow depth (at the point of measurement) to flume length is between 0.1 and 0.4.  Above 0.4 and higher approach velocities and rapid changes in the water surface introduce inaccuracies.  Most standard Cutthroat Flumes have an overall depth that is 0.33 that of the length and fall within the recommended range.  

However, it is important to remember that raising the sidewalls of a Cutthroat Flume beyond the 0.4 limit may impact accuracy.  This is important as Cutthroat Flumes are the type of flume most commonly extended.

For free-flow conditions, the level-to-flow equation for the Cutthroat Flume can be expressed as:

Q = KW1.025Han = CHan

Q = free flow rate (cfs / m3/s)
K = flume discharge constant (varies by flume length / units)
C = Calculated flume discharge constant (varies by flume length / throat width / units)
W = throat width (feet / meters)
Ha = depth at the point of measurement (feet / meters)
n = discharge exponent (depends upon flume size)

Length Width n K (Imperial) K (SI) C (Imperial) C (SI)
18" Length
18” 1" 2.150 6.100 7.4791 0.494 0.1802
18” 2" 2.150 6.100 7.4791 0.974 0.3553
18” 4" 2.150 6.100 7.4791 1.975 0.7205
18” 8" 2.150 6.100 7.4791 4.030 1.4701
36" Length
36" 2" 1.840 4.500 3.7758 0.719 0.1811
36" 4" 1.840 4.500 3.7758 1.459 0.3675
36" 8" 1.840 4.500 3.7758 2.970 0.7503
36" 16" 1.840 4.500 3.7758 6.040 1.5213
54" Length
54" 3" 1.720 3.980 2.9394 0.960 0.2103
54" 6" 1.720 3.980 2.9394 1.960 0.4293
54" 12" 1.720 3.980 2.9394 3.980 0.8718
54" 24" 1.720 3.980 2.9394 8.010 1.745
108" Length
108" 12" 1.560 3.500 2.1383 3.50 0.6322
108" 24" 1.560 3.500 2.1383 7.11 1.2843
108" 48" 1.560 3.500 2.1383 14.49 2.6175
108" 72" 1.560 3.500 2.1383 22.0 3.9741

Free-flow discharge tables for Cutthroat Flumes can be found in the Discharge Tables section.

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