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Length of Crest if Critical Depth is Constant for Discharge of Weir Formula

GoLength of Crest given Discharge over Weir Formula

GoLength of Crest given Actual Discharge over Broad Crested Weir Formula

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

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

L_w - Length of Weir Crest?Q_w - Discharge Over Broad Crested Weir?C_d - Coefficient of Discharge?H - Total Head?

Length of Crest if Critical Depth is Constant for Discharge of Weir Example

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Here is how the Length of Crest if Critical Depth is Constant for Discharge of Weir equation looks like with Values.

Here is how the Length of Crest if Critical Depth is Constant for Discharge of Weir equation looks like with Units.

Here is how the Length of Crest if Critical Depth is Constant for Discharge of Weir equation looks like.

2.1205 = \frac{26.6}{1.70 \cdot 0.66 \cdot {(5)}^{\frac{3}{2}}}

2.1205m = \frac{26.6m³/s}{1.70 \cdot 0.66 \cdot {(5m)}^{\frac{3}{2}}}

2.1205 = \frac{26.6}{1.70 \cdot 0.66 \cdot {(5)}^{\frac{3}{2}}}

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Length of Crest if Critical Depth is Constant for Discharge of Weir Solution

Follow our step by step solution on how to calculate Length of Crest if Critical Depth is Constant for Discharge of Weir?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

L w = \frac{26.6m³/s}{1.70 \cdot 0.66 \cdot {(5m)}^{\frac{3}{2}}}

Next Step Prepare to Evaluate

∴

L w = \frac{26.6}{1.70 \cdot 0.66 \cdot {(5)}^{\frac{3}{2}}}

Next Step Evaluate

∴

L w = 2.12047801074846m

LAST Step Rounding Answer

∴

L w = 2.1205m

Length of Crest if Critical Depth is Constant for Discharge of Weir Formula Elements

Variables

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

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

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

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 Length of Weir Crest

Go Length of Crest given Discharge over Weir

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

Go Length of Crest given Actual Discharge over Broad Crested Weir

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

Go Length of Crest over Broad Crested Weir for Max Discharge

L w = \frac{Q W(max)}{1.70 \cdot C d \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 Length of Crest if Critical Depth is Constant for Discharge of Weir?

Length of Crest if Critical Depth is Constant for Discharge of Weir evaluator uses Length of Weir Crest = Discharge Over Broad Crested Weir/(1.70*Coefficient of Discharge*(Total Head)^(3/2)) to evaluate the Length of Weir Crest, Length of Crest if Critical Depth is Constant for Discharge of Weir is defined as the depth of flow at maximum discharge capacity, is maintained. Length of Weir Crest is denoted by L_w symbol.

How to evaluate Length of Crest if Critical Depth is Constant for Discharge of Weir using this online evaluator? To use this online evaluator for Length of Crest if Critical Depth is Constant for Discharge of Weir, enter Discharge Over Broad Crested Weir (Q_w), Coefficient of Discharge (C_d) & Total Head (H) and hit the calculate button.

FAQs on Length of Crest if Critical Depth is Constant for Discharge of Weir

What is the formula to find Length of Crest if Critical Depth is Constant for Discharge of Weir?

The formula of Length of Crest if Critical Depth is Constant for Discharge of Weir is expressed as Length of Weir Crest = Discharge Over Broad Crested Weir/(1.70*Coefficient of Discharge*(Total Head)^(3/2)). Here is an example- 2.120478 = 26.6/(1.70*0.66*(5)^(3/2)).

How to calculate Length of Crest if Critical Depth is Constant for Discharge of Weir?

With Discharge Over Broad Crested Weir (Q_w), Coefficient of Discharge (C_d) & Total Head (H) we can find Length of Crest if Critical Depth is Constant for Discharge of Weir using the formula - Length of Weir Crest = Discharge Over Broad Crested Weir/(1.70*Coefficient of Discharge*(Total Head)^(3/2)).

What are the other ways to Calculate Length of Weir Crest?

Here are the different ways to Calculate Length of Weir Crest-

Length of Weir Crest=Discharge Over Broad Crested Weir/(Critical Depth of Weir*sqrt((2*[g])*(Total Head-Critical Depth of Weir)))
Length of Weir Crest=Actual Discharge over Broad Crested Weir/(Coefficient of Discharge*Critical Depth of Weir*sqrt((2*Acceleration due to Gravity)*(Total Head-Critical Depth of Weir)))
Length of Weir Crest=Max Discharge Over Broad Crested Weir/(1.70*Coefficient of Discharge*(Total Head)^(3/2))

Can the Length of Crest if Critical Depth is Constant for Discharge of Weir be negative?

No, the Length of Crest if Critical Depth is Constant for Discharge of Weir, measured in Length cannot be negative.

Which unit is used to measure Length of Crest if Critical Depth is Constant for Discharge of Weir?

Length of Crest if Critical Depth is Constant for Discharge of Weir is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Length of Crest if Critical Depth is Constant for Discharge of Weir can be measured.

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