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Max Discharge over Broad Crested Weir Formula

GoMaximum Discharge of Broad Crested Weir if Critical Depth is Constant Formula

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

Q W(max) = 1.70 \cdot C d \cdot L w \cdot {(H)}^{\frac{3}{2}}

Q_W(max) - Max Discharge Over Broad Crested Weir?C_d - Coefficient of Discharge?L_w - Length of Weir Crest?H - Total Head?

Max Discharge over Broad Crested Weir Example

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

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

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

37.633 = 1.70 \cdot 0.66 \cdot 3 \cdot {(5)}^{\frac{3}{2}}

37.633m³/s = 1.70 \cdot 0.66 \cdot 3m \cdot {(5m)}^{\frac{3}{2}}

37.633 = 1.70 \cdot 0.66 \cdot 3 \cdot {(5)}^{\frac{3}{2}}

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Max Discharge over Broad Crested Weir Solution

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

FIRST Step Consider the formula

Q W(max) = 1.70 \cdot C d \cdot L w \cdot {(H)}^{\frac{3}{2}}

Next Step Substitute values of Variables

∴

Q W(max) = 1.70 \cdot 0.66 \cdot 3m \cdot {(5m)}^{\frac{3}{2}}

Next Step Prepare to Evaluate

∴

Q W(max) = 1.70 \cdot 0.66 \cdot 3 \cdot {(5)}^{\frac{3}{2}}

Next Step Evaluate

∴

Q W(max) = 37.6330240613215m³/s

LAST Step Rounding Answer

∴

Q W(max) = 37.633m³/s

Max Discharge over Broad Crested Weir Formula Elements

Variables

Max Discharge Over Broad Crested Weir

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

Symbol: Q_W(max)

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Max 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

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

Other Formulas to find Max Discharge Over Broad Crested Weir

Go Maximum Discharge of Broad Crested Weir if Critical Depth is Constant

Q W(max) = 1.70 \cdot C d \cdot L w \cdot {(H)}^{\frac{3}{2}}

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 Max Discharge over Broad Crested Weir?

Max Discharge over Broad Crested Weir evaluator uses Max Discharge Over Broad Crested Weir = 1.70*Coefficient of Discharge*Length of Weir Crest*(Total Head)^(3/2) to evaluate the Max Discharge Over Broad Crested Weir, Max Discharge over Broad Crested Weir is defined as the maximum amount of water flow that can pass over a weir structure with a broad crest. Max Discharge Over Broad Crested Weir is denoted by Q_W(max) symbol.

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

FAQs on Max Discharge over Broad Crested Weir

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

The formula of Max Discharge over Broad Crested Weir is expressed as Max Discharge Over Broad Crested Weir = 1.70*Coefficient of Discharge*Length of Weir Crest*(Total Head)^(3/2). Here is an example- 37.63302 = 1.70*0.66*3*(5)^(3/2).

How to calculate Max Discharge over Broad Crested Weir?

With Coefficient of Discharge (C_d), Length of Weir Crest (L_w) & Total Head (H) we can find Max Discharge over Broad Crested Weir using the formula - Max Discharge Over Broad Crested Weir = 1.70*Coefficient of Discharge*Length of Weir Crest*(Total Head)^(3/2).

What are the other ways to Calculate Max Discharge Over Broad Crested Weir?

Here are the different ways to Calculate Max Discharge Over Broad Crested Weir-

Max Discharge Over Broad Crested Weir=1.70*Coefficient of Discharge*Length of Weir Crest*(Total Head)^(3/2)

Can the Max Discharge over Broad Crested Weir be negative?

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

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

Max 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 Max Discharge over Broad Crested Weir can be measured.

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