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Broad Crested Weir

Last modified by
on
Apr 10, 2023, 4:43:05 PM
Created by
on
May 26, 2016, 1:39:56 PM
`q = C_d * h_2 * b * sqrt(2g*( h_1 - h_2 ))`
`(h_1)"Head 1 of Weir"`
`(h_2)"Head 2 of Weir"`
`(b)"Width of Weir"`
`(C_d)"Discharge coefficient"`
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556755de-2347-11e6-9770-bc764e2038f2

The Flow Rate for a Broad-crested Weir calculator computes the flow rate of water (or similar liquids) over a weir that is characterized as broad (flat and wider than deep). 

Instructions:  Choose units and enter the following:

  • (b) Width of Weir
  • (h1) First Head on Weir
  • (h2) Second Head on Weir
  • (Cd) Discharge Coefficient.

Flow Rate (q):  The calculator returns the flow rate in cubic meters per second.  However, this can be automatically converted into other volumetric units (e.g. gallons per minute)  via the pull-down menu.   /attachments/556755de-2347-11e6-9770-bc764e2038f2/Broad-crested weir.png

The Math / Science

A broad-crested weir is a flat-crested structure, with a long crest compared to the flow thickness. When the crest is "broad", the streamlines become parallel to the crest invert and the pressure distribution above the crest is hydrostatic.  The net effect is a double drop resulting in two  head measurements (h1 and h2).

The hydraulic characteristics of broad-crested weirs were studied during the 19th and 20th centuries. Practical experience showed that the weir overflow is affected by the upstream flow conditions and the weir.

The following formula is used to calculate the Flow Rate for a Broad Crested Weir:

         `q = Cd⋅h2⋅b⋅sqrt(2g⋅(h1−h2))`

where:

Type of snow or ice (kg/m3)
Fresh New snow  50-70
Damp new snow 100-200
Settled snow 200-300
Depth hoar 100-300
Wind packed snow 350-400
Firn   (granular) 400-830
Very wet  700-800
Glacier ice 830-917
Rain/Melt 997

Hydrology (Water, Rain and Snow) Calculators:

References


This equation, Broad Crested Weir, references 1 page
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