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Actual Discharge over Broad Crested Weir Formula

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

Q a = C d \cdot L w \cdot h c \cdot \sqrt{(2 \cdot g) \cdot (H - h c)}

Q_a - Actual Discharge over Broad Crested Weir?C_d - Coefficient of Discharge?L_w - Length of Weir Crest?h_c - Critical Depth of Weir?g - Acceleration due to Gravity?H - Total Head?

Actual Discharge over Broad Crested Weir Example

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

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

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

17.547 = 0.66 \cdot 3 \cdot 1.001 \cdot \sqrt{(2 \cdot 9.8) \cdot (5 - 1.001)}

17.547m³/s = 0.66 \cdot 3m \cdot 1.001m \cdot \sqrt{(2 \cdot 9.8m/s²) \cdot (5m - 1.001m)}

17.547 = 0.66 \cdot 3 \cdot 1.001 \cdot \sqrt{(2 \cdot 9.8) \cdot (5 - 1.001)}

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Actual Discharge over Broad Crested Weir Solution

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

FIRST Step Consider the formula

Q a = C d \cdot L w \cdot h c \cdot \sqrt{(2 \cdot g) \cdot (H - h c)}

Next Step Substitute values of Variables

∴

Q a = 0.66 \cdot 3m \cdot 1.001m \cdot \sqrt{(2 \cdot 9.8m/s²) \cdot (5m - 1.001m)}

Next Step Prepare to Evaluate

∴

Q a = 0.66 \cdot 3 \cdot 1.001 \cdot \sqrt{(2 \cdot 9.8) \cdot (5 - 1.001)}

Next Step Evaluate

∴

Q a = 17.5470052283243m³/s

LAST Step Rounding Answer

∴

Q a = 17.547m³/s

Actual Discharge over Broad Crested Weir Formula Elements

Variables

Functions

Actual Discharge over Broad Crested Weir

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

Symbol: Q_a

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Actual Discharge over Broad Crested Weir

Coefficient of Discharge

The Coefficient of Discharge is ratio of actual discharge to theoretical discharge.

Symbol: C_d

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.2.

Formulas to find Coefficient of Discharge

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

Acceleration due to Gravity

The Acceleration due to Gravity is acceleration gained by an object because of gravitational force.

Symbol: g

Measurement: AccelerationUnit: m/s²

Note: Value should be greater than 0.

Formulas to find Acceleration due to Gravity

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

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 Discharge over Broad Crested Weir

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

How to Evaluate Actual Discharge over Broad Crested Weir?

Actual Discharge over Broad Crested Weir evaluator uses Actual Discharge over Broad Crested Weir = Coefficient of Discharge*Length of Weir Crest*Critical Depth of Weir*sqrt((2*Acceleration due to Gravity)*(Total Head-Critical Depth of Weir)) to evaluate the Actual Discharge over Broad Crested Weir, Actual Discharge over Broad Crested Weir is defined as the measured flow rate of water passing over a weir structure with a wide crest, where the flow is spread out. Actual Discharge over Broad Crested Weir is denoted by Q_a symbol.

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

FAQs on Actual Discharge over Broad Crested Weir

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

The formula of Actual Discharge over Broad Crested Weir is expressed as Actual Discharge over Broad Crested Weir = Coefficient of Discharge*Length of Weir Crest*Critical Depth of Weir*sqrt((2*Acceleration due to Gravity)*(Total Head-Critical Depth of Weir)). Here is an example- 17.54701 = 0.66*3*1.001*sqrt((2*9.8)*(5-1.001)).

How to calculate Actual Discharge over Broad Crested Weir?

With Coefficient of Discharge (C_d), Length of Weir Crest (L_w), Critical Depth of Weir (h_c), Acceleration due to Gravity (g) & Total Head (H) we can find Actual Discharge over Broad Crested Weir using the formula - Actual Discharge over Broad Crested Weir = Coefficient of Discharge*Length of Weir Crest*Critical Depth of Weir*sqrt((2*Acceleration due to Gravity)*(Total Head-Critical Depth of Weir)). This formula also uses Square Root (sqrt) function(s).

Can the Actual Discharge over Broad Crested Weir be negative?

No, the Actual Discharge over Broad Crested Weir, measured in Volumetric Flow Rate cannot be negative.

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

Actual 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 Actual Discharge over Broad Crested Weir can be measured.

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Actual Discharge over Broad Crested Weir Formula

Actual Discharge over Broad Crested Weir Example

Actual Discharge over Broad Crested Weir Solution

Actual Discharge over Broad Crested Weir Formula Elements

Other formulas in Broad Crested Weir category

How to Evaluate Actual Discharge over Broad Crested Weir?

FAQs on Actual Discharge over Broad Crested Weir

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