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Length of Crest given Actual Discharge over Broad Crested Weir Formula

GoLength of Crest given Discharge over Weir Formula

GoLength of Crest if Critical Depth is Constant for Discharge of 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 a}{C d \cdot h c \cdot \sqrt{(2 \cdot g) \cdot (H - h c)}}

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

Length of Crest given Actual Discharge over Broad Crested Weir Example

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

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

Here is how the Length of Crest given Actual Discharge over Broad Crested Weir equation looks like.

2.9988 = \frac{17.54}{0.66 \cdot 1.001 \cdot \sqrt{(2 \cdot 9.8) \cdot (5 - 1.001)}}

2.9988m = \frac{17.54m³/s}{0.66 \cdot 1.001m \cdot \sqrt{(2 \cdot 9.8m/s²) \cdot (5m - 1.001m)}}

2.9988 = \frac{17.54}{0.66 \cdot 1.001 \cdot \sqrt{(2 \cdot 9.8) \cdot (5 - 1.001)}}

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Length of Crest given Actual Discharge over Broad Crested Weir Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

L w = \frac{17.54m³/s}{0.66 \cdot 1.001m \cdot \sqrt{(2 \cdot 9.8m/s²) \cdot (5m - 1.001m)}}

Next Step Prepare to Evaluate

∴

L w = \frac{17.54}{0.66 \cdot 1.001 \cdot \sqrt{(2 \cdot 9.8) \cdot (5 - 1.001)}}

Next Step Evaluate

∴

L w = 2.99880232069807m

LAST Step Rounding Answer

∴

L w = 2.9988m

Length of Crest given Actual Discharge over Broad Crested Weir Formula Elements

Variables

Functions

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

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

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 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 if Critical Depth is Constant for Discharge of Weir

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

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 given Actual Discharge over Broad Crested Weir?

Length of Crest given Actual Discharge over Broad Crested Weir evaluator uses 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))) to evaluate the Length of Weir Crest, Length of Crest given Actual Discharge over Broad Crested Weir is defined as the horizontal distance across a broad crested weir, which is a hydraulic structure used to measure or control the flow of water. Length of Weir Crest is denoted by L_w symbol.

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

FAQs on Length of Crest given Actual Discharge over Broad Crested Weir

What is the formula to find Length of Crest given Actual Discharge over Broad Crested Weir?

The formula of Length of Crest given Actual Discharge over Broad Crested Weir is expressed as 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))). Here is an example- 2.171311 = 17.54/(0.66*1.001*sqrt((2*9.8)*(5-1.001))).

How to calculate Length of Crest given Actual Discharge over Broad Crested Weir?

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

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

Can the Length of Crest given Actual Discharge over Broad Crested Weir be negative?

No, the Length of Crest given Actual Discharge over Broad Crested Weir, measured in Length cannot be negative.

Which unit is used to measure Length of Crest given Actual Discharge over Broad Crested Weir?

Length of Crest given Actual Discharge over Broad Crested 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 given Actual Discharge over Broad Crested Weir can be measured.

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Length of Crest given Actual Discharge over Broad Crested Weir Formula

​GoLength of Crest given Discharge over Weir Formula

​GoLength of Crest if Critical Depth is Constant for Discharge of Weir Formula

Length of Crest given Actual Discharge over Broad Crested Weir Example

Length of Crest given Actual Discharge over Broad Crested Weir Solution

Length of Crest given Actual Discharge over Broad Crested Weir Formula Elements

Other Formulas to find Length of Weir Crest

Other formulas in Broad Crested Weir category

How to Evaluate Length of Crest given Actual Discharge over Broad Crested Weir?

FAQs on Length of Crest given Actual Discharge over Broad Crested Weir

Variable Name

GoLength of Crest given Discharge over Weir Formula

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