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Discharge Weir is the rate of flow of a liquid. Check FAQs
Q=1.705CdLw((H+ha)32-ha32)
Q - Discharge Weir?Cd - Coefficient of Discharge?Lw - Length of Weir?H - Head of Liquid?ha - Head Due to Velocity of Approach?

Discharge over Broad-Crested Weir with Velocity of Approach Example

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With units
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Here is how the Discharge over Broad-Crested Weir with Velocity of Approach equation looks like with Values.

Here is how the Discharge over Broad-Crested Weir with Velocity of Approach equation looks like with Units.

Here is how the Discharge over Broad-Crested Weir with Velocity of Approach equation looks like.

1233.3232Edit=1.7050.8Edit25Edit((10Edit+1.2Edit)32-1.2Edit32)
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Discharge over Broad-Crested Weir with Velocity of Approach Solution

Follow our step by step solution on how to calculate Discharge over Broad-Crested Weir with Velocity of Approach?

FIRST Step Consider the formula
Q=1.705CdLw((H+ha)32-ha32)
Next Step Substitute values of Variables
Q=1.7050.825m((10m+1.2m)32-1.2m32)
Next Step Prepare to Evaluate
Q=1.7050.825((10+1.2)32-1.232)
Next Step Evaluate
Q=1233.32317522935m³/s
LAST Step Rounding Answer
Q=1233.3232m³/s

Discharge over Broad-Crested Weir with Velocity of Approach Formula Elements

Variables
Discharge Weir
Discharge Weir is the rate of flow of a liquid.
Symbol: Q
Measurement: Volumetric Flow RateUnit: m³/s
Note: Value can be positive or negative.
Coefficient of Discharge
The Coefficient of Discharge or efflux coefficient is the ratio of the actual discharge to the theoretical discharge.
Symbol: Cd
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Length of Weir
The Length of Weir is the of the base of weir through which discharge is taking place.
Symbol: Lw
Measurement: LengthUnit: m
Note: Value can be positive or negative.
Head of Liquid
The Head of Liquid is the height of a liquid column that corresponds to a particular pressure exerted by the liquid column from the base of its container.
Symbol: H
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Head Due to Velocity of Approach
The Head due to Velocity of Approach is considered as the elevation difference between the two circled points on the surface of the approach flow.
Symbol: ha
Measurement: LengthUnit: m
Note: Value can be positive or negative.

Other Formulas to find Discharge Weir

​Go Discharge over Rectangle Weir Considering Bazin's formula
Q=(0.405+0.003H)Lw2[g]H32
​Go Discharge over Rectangle Weir for Bazin's formula with Velocity of Approach
Q=(0.405+0.003H+ha)Lw2[g](H+ha)32
​Go Discharge over Rectangle Weir with Two End Contractions
Q=23Cd(Lw-0.2H)2[g]H32
​Go Discharge over Broad-Crested Weir
Q=1.705CdLwH32

Other formulas in Discharge category

​Go Head of Liquid at Crest
H=(Qth23CdLw2[g])23
​Go Head of Liquid above V-notch
H=(Qth815Cdtan(∠A2)2[g])0.4
​Go Time Required to Empty Reservoir
ta=(3ACdLw2[g])(1Hf-1Hi)
​Go Time Required to Empty Tank with Triangular Weir or Notch
ta=(5A4Cdtan(∠A2)2[g])(1Hf32-1Hi32)

How to Evaluate Discharge over Broad-Crested Weir with Velocity of Approach?

Discharge over Broad-Crested Weir with Velocity of Approach evaluator uses Discharge Weir = 1.705*Coefficient of Discharge*Length of Weir*((Head of Liquid+Head Due to Velocity of Approach)^(3/2)-Head Due to Velocity of Approach^(3/2)) to evaluate the Discharge Weir, Discharge Over Broad-Crested Weir with Velocity of Approach the flow rate is determined by considering the velocity of approach of the water as it approaches the weir. Discharge Weir is denoted by Q symbol.

How to evaluate Discharge over Broad-Crested Weir with Velocity of Approach using this online evaluator? To use this online evaluator for Discharge over Broad-Crested Weir with Velocity of Approach, enter Coefficient of Discharge (Cd), Length of Weir (Lw), Head of Liquid (H) & Head Due to Velocity of Approach (ha) and hit the calculate button.

FAQs on Discharge over Broad-Crested Weir with Velocity of Approach

What is the formula to find Discharge over Broad-Crested Weir with Velocity of Approach?
The formula of Discharge over Broad-Crested Weir with Velocity of Approach is expressed as Discharge Weir = 1.705*Coefficient of Discharge*Length of Weir*((Head of Liquid+Head Due to Velocity of Approach)^(3/2)-Head Due to Velocity of Approach^(3/2)). Here is an example- 1233.323 = 1.705*0.8*25*((10+1.2)^(3/2)-1.2^(3/2)).
How to calculate Discharge over Broad-Crested Weir with Velocity of Approach?
With Coefficient of Discharge (Cd), Length of Weir (Lw), Head of Liquid (H) & Head Due to Velocity of Approach (ha) we can find Discharge over Broad-Crested Weir with Velocity of Approach using the formula - Discharge Weir = 1.705*Coefficient of Discharge*Length of Weir*((Head of Liquid+Head Due to Velocity of Approach)^(3/2)-Head Due to Velocity of Approach^(3/2)).
What are the other ways to Calculate Discharge Weir?
Here are the different ways to Calculate Discharge Weir-
  • Discharge Weir=(0.405+0.003/Head of Liquid)*Length of Weir*sqrt(2*[g])*Head of Liquid^(3/2)OpenImg
  • Discharge Weir=(0.405+0.003/(Head of Liquid+Head Due to Velocity of Approach))*Length of Weir*sqrt(2*[g])*(Head of Liquid+Head Due to Velocity of Approach)^(3/2)OpenImg
  • Discharge Weir=2/3*Coefficient of Discharge*(Length of Weir-0.2*Head of Liquid)*sqrt(2*[g])*Head of Liquid^(3/2)OpenImg
Can the Discharge over Broad-Crested Weir with Velocity of Approach be negative?
Yes, the Discharge over Broad-Crested Weir with Velocity of Approach, measured in Volumetric Flow Rate can be negative.
Which unit is used to measure Discharge over Broad-Crested Weir with Velocity of Approach?
Discharge over Broad-Crested Weir with Velocity of Approach is usually measured using the Cubic Meter per Second[m³/s] for Volumetric Flow Rate. Cubic Meter per Day[m³/s], Cubic Meter per Hour[m³/s], Cubic Meter per Minute[m³/s] are the few other units in which Discharge over Broad-Crested Weir with Velocity of Approach can be measured.
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