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Introduction
The end-depth method for determining discharge is very useful since channels are easily constructed to have a free overfall, and natural channels often have this configuration.   Due to the minimal installation costs (if any), flowrate measurement is much less expensive those associated with installing a weir or flume.  The equation shown above for determining discharge is from the International Organization of Standards publication 3847 dated 1977 (ISO, 1977).  For the equation to give an accurate discharge measurement, there are several criteria that should be met:
· Clear water.
· Rectangular channel for a distance at least 20h upstream of the drop-off (aka. overflow or overfall).
· Channel should be horizontal although a slight slope is okay.
· Channel should be smooth such as would be provided by a neat cement finish.
· Flow should be sub-critical upstream of the drop-off.
· The drop, d, should be greater than h.
· The channel width, b, should be greater than 0.3 m (11.8 inch).
· The end depth, h, should be greater than 0.04 m (1.6 inch).
· For a confined nappe, the channel should be rectangular for a distance of greater than 6h downstream of the drop-off, and the nappe should be ventilated so that the water does not cling to the drop off.

If the criteria are met and h is measured carefully, the accuracy of the discharge measurement is 2% for a horizontal channel and up to 7% for a slightly sloping channel (ISO, 1977).

Variables
b=Channel width [L].  Must be greater than 0.3 m (11.8 inch) for the equation to be reliable.
C=Coefficient of discharge.  C=1.66 for confined nappe.  C=1.69 for unconfined nappe.
d=Drop elevation [L].  Elevation difference between bottom of channel and tail water.   Must be at least h for the equation to be reliable.
g=Acceleration due to gravity=9.8066 m/s².
h=Measured water depth at end of channel (i.e. at the drop-off) [L].  Must be greater than 0.04 m (1.6 inch) for the equation to be reliable.
L=Straight length upstream of drop-off [L].  Must be at least 20h for the flow to be well-established.
Q=Discharge [L³/T].  Also known as flowrate.

Error Messages
"h and b must be >0."  Check your input.  h or b was entered as 0.0 or negative.
"Q and b must be >0."  Check your input.  Q or b was entered as 0.0 or negative.
"Q and h must be >0."  Check your input.  Q or h was entered as 0.0 or negative
"Need b>0.3 m for accuracy."  b (channel width) was entered or computed as <=0.3m.  The calculation finished, but the equation is not accurate for such a narrow channel.
"Need h>0.04 m for accuracy."  h was entered or computed as <=0.04m.  The calculation finished, but the equation is not accurate for such a small depth.

References
International Organization of Standards (ISO 3847).  1977.  Liquid flow measurement in open channels by weirs and flumes - End depth method for estimation of flow in rectangular channels with a free overfall.  Reference number: ISO 3847-1977(E).

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