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Discharge over Broad Crested Weir Formula

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Discharge Over Broad Crested Weir is a measure of the quantity of any fluid flow over unit time. The quantity may be either volume or mass. Check FAQs

Q w = L w \cdot h c \cdot \sqrt{(2 \cdot [g]) \cdot (H - h c)}

Q_w - Discharge Over Broad Crested Weir?L_w - Length of Weir Crest?h_c - Critical Depth of Weir?H - Total Head?[g] - Gravitational acceleration on Earth?

Discharge over Broad Crested Weir Example

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Here is how the Discharge over Broad Crested Weir equation looks like with Values.

Here is how the Discharge over Broad Crested Weir equation looks like with Units.

Here is how the Discharge over Broad Crested Weir equation looks like.

26.5954 = 3 \cdot 1.001 \cdot \sqrt{(2 \cdot 9.8066) \cdot (5 - 1.001)}

26.5954m³/s = 3m \cdot 1.001m \cdot \sqrt{(2 \cdot 9.8066m/s²) \cdot (5m - 1.001m)}

26.5954 = 3 \cdot 1.001 \cdot \sqrt{(2 \cdot 9.8066) \cdot (5 - 1.001)}

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Discharge over Broad Crested Weir Solution

Follow our step by step solution on how to calculate Discharge over Broad Crested Weir?

FIRST Step Consider the formula

Q w = L w \cdot h c \cdot \sqrt{(2 \cdot [g]) \cdot (H - h c)}

Next Step Substitute values of Variables

∴

Q w = 3m \cdot 1.001m \cdot \sqrt{(2 \cdot [g]) \cdot (5m - 1.001m)}

Next Step Substitute values of Constants

∴

Q w = 3m \cdot 1.001m \cdot \sqrt{(2 \cdot 9.8066m/s²) \cdot (5m - 1.001m)}

Next Step Prepare to Evaluate

∴

Q w = 3 \cdot 1.001 \cdot \sqrt{(2 \cdot 9.8066) \cdot (5 - 1.001)}

Next Step Evaluate

∴

Q w = 26.5953904044081m³/s

LAST Step Rounding Answer

∴

Q w = 26.5954m³/s

Discharge over Broad Crested Weir Formula Elements

Variables

Constants

Functions

Discharge Over Broad Crested Weir

Discharge Over Broad Crested Weir is a measure of the quantity of any fluid flow over unit time. The quantity may be either volume or mass.

Symbol: Q_w

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

Formulas to find Discharge Over Broad Crested Weir

Length of Weir Crest

Length of Weir Crest is the measurement or extent of Weir Crest from end to end.

Symbol: L_w

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Weir Crest

Critical Depth of Weir

The Critical Depth of Weir is defined as the depth of flow where energy is at a minimum for a particular discharge.

Symbol: h_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Critical Depth of Weir

Total Head

Total Head is the combination of weir crested and additional head.

Symbol: H

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Total Head

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in Broad Crested Weir category

Go Total Head above Weir Crest

H = h c + (\frac{{v f}^{2}}{2 \cdot g})

Go Critical Depth due to Reduction in Area of Flow Section given Total Head

h c = H - (\frac{{v f}^{2}}{2 \cdot g})

Go Velocity of Flow given Head

v f = \sqrt{(2 \cdot g) \cdot (H - h c)}

Go Length of Crest given Discharge over Weir

L w = \frac{Q w}{h c \cdot \sqrt{(2 \cdot [g]) \cdot (H - h c)}}

How to Evaluate Discharge over Broad Crested Weir?

Discharge over Broad Crested Weir evaluator uses Discharge Over Broad Crested Weir = Length of Weir Crest*Critical Depth of Weir*sqrt((2*[g])*(Total Head-Critical Depth of Weir)) to evaluate the Discharge Over Broad Crested Weir, Discharge over Broad Crested Weir is defined as the flow of water passing over a weir structure with a wide crest. It is characterized by the gradual increase and subsequent decrease of water depth over the crest, resulting in a complex flow pattern. Discharge Over Broad Crested Weir is denoted by Q_w symbol.

How to evaluate Discharge over Broad Crested Weir using this online evaluator? To use this online evaluator for Discharge over Broad Crested Weir, enter Length of Weir Crest (L_w), Critical Depth of Weir (h_c) & Total Head (H) and hit the calculate button.

FAQs on Discharge over Broad Crested Weir

What is the formula to find Discharge over Broad Crested Weir?

The formula of Discharge over Broad Crested Weir is expressed as Discharge Over Broad Crested Weir = Length of Weir Crest*Critical Depth of Weir*sqrt((2*[g])*(Total Head-Critical Depth of Weir)). Here is an example- 26.59539 = 3*1.001*sqrt((2*[g])*(5-1.001)).

How to calculate Discharge over Broad Crested Weir?

With Length of Weir Crest (L_w), Critical Depth of Weir (h_c) & Total Head (H) we can find Discharge over Broad Crested Weir using the formula - Discharge Over Broad Crested Weir = Length of Weir Crest*Critical Depth of Weir*sqrt((2*[g])*(Total Head-Critical Depth of Weir)). This formula also uses Gravitational acceleration on Earth constant(s) and Square Root Function function(s).

Can the Discharge over Broad Crested Weir be negative?

Yes, the Discharge over Broad Crested Weir, measured in Volumetric Flow Rate can be negative.

Which unit is used to measure Discharge over Broad Crested Weir?

Discharge over Broad Crested Weir 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 can be measured.

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Discharge over Broad Crested Weir Formula

Discharge over Broad Crested Weir Example

Discharge over Broad Crested Weir Solution

Discharge over Broad Crested Weir Formula Elements

Other formulas in Broad Crested Weir category

How to Evaluate Discharge over Broad Crested Weir?

FAQs on Discharge over Broad Crested Weir

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