Length of Crest given Discharge over Weir Calculator

✖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.ⓘ Discharge Over Broad Crested Weir [Q_w]			+10% -10%
✖The Critical Depth of Weir is defined as the depth of flow where energy is at a minimum for a particular discharge.ⓘ Critical Depth of Weir [h_c]			+10% -10%
✖Total Head is the combination of weir crested and additional head.ⓘ Total Head [H]			+10% -10%

✖Length of Weir Crest is the measurement or extent of Weir Crest from end to end.ⓘ Length of Crest given Discharge over Weir [L_w]

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Length of Crest given Discharge over Weir Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Weir Crest = Discharge Over Broad Crested Weir/(Critical Depth of Weir*sqrt((2*[g])*(Total Head-Critical Depth of Weir)))
L_w = Q_w/(h_c*sqrt((2*[g])*(H-h_c)))
This formula uses 1 Constants, 1 Functions, 4 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Functions Used

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., sqrt(Number)

Variables Used

Length of Weir Crest - (Measured in Meter) - Length of Weir Crest is the measurement or extent of Weir Crest from end to end.
Discharge Over Broad Crested Weir - (Measured in Cubic Meter per Second) - 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.
Critical Depth of Weir - (Measured in Meter) - The Critical Depth of Weir is defined as the depth of flow where energy is at a minimum for a particular discharge.
Total Head - (Measured in Meter) - Total Head is the combination of weir crested and additional head.

STEP 1: Convert Input(s) to Base Unit

Discharge Over Broad Crested Weir: 26.6 Cubic Meter per Second --> 26.6 Cubic Meter per Second No Conversion Required
Critical Depth of Weir: 1.001 Meter --> 1.001 Meter No Conversion Required
Total Head: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_w = Q_w/(h_c*sqrt((2*[g])*(H-h_c))) --> 26.6/(1.001*sqrt((2*[g])*(5-1.001)))

Evaluating ... ...

L_w = 3.00051996930918

STEP 3: Convert Result to Output's Unit

3.00051996930918 Meter --> No Conversion Required

FINAL ANSWER

3.00051996930918 ≈ 3.00052 Meter <-- Length of Weir Crest

(Calculation completed in 00.020 seconds)

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Home » Engineering » Civil » Hydraulics and Waterworks » Flow Over Notches and Weirs » Broad Crested Weir » Length of Crest given Discharge over Weir

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Created by M Naveen

National Institute of Technology (NIT), Warangal

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National Institute of Technology Karnataka (NITK), Surathkal

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< Broad Crested Weir Calculators

Discharge over Broad Crested Weir

LaTeX Go Discharge Over Broad Crested Weir = Length of Weir Crest*Critical Depth of Weir*sqrt((2*[g])*(Total Head-Critical Depth of Weir))

Velocity of Flow given Head

LaTeX Go Velocity of Fluid for Weir = sqrt((2*Acceleration due to Gravity)*(Total Head-Critical Depth of Weir))

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

LaTeX Go Critical Depth of Weir = Total Head-(Velocity of Fluid for Weir^2/(2*Acceleration due to Gravity))

Total Head above Weir Crest

LaTeX Go Total Head = Critical Depth of Weir+(Velocity of Fluid for Weir^2/(2*Acceleration due to Gravity))

Length of Crest given Discharge over Weir Formula

LaTeX Go

Length of Weir Crest = Discharge Over Broad Crested Weir/(Critical Depth of Weir*sqrt((2*[g])*(Total Head-Critical Depth of Weir)))
L_w = Q_w/(h_c*sqrt((2*[g])*(H-h_c)))

What is meant by Length of Crest?

Length of Crest given Discharge over Weir applies to the area of reclamation can be defined as the distance, measured along the axis.

How to Calculate Length of Crest given Discharge over Weir?

Length of Crest given Discharge over Weir calculator uses Length of Weir Crest = Discharge Over Broad Crested Weir/(Critical Depth of Weir*sqrt((2*[g])*(Total Head-Critical Depth of Weir))) to calculate the Length of Weir Crest, Length of Crest given Discharge over Weir is defined as the horizontal distance along the top edge of the weir structure that spans the width of the flow channel. Length of Weir Crest is denoted by L_w symbol.

How to calculate Length of Crest given Discharge over Weir using this online calculator? To use this online calculator for Length of Crest given Discharge over Weir, enter Discharge Over Broad Crested Weir (Q_w), Critical Depth of Weir (h_c) & Total Head (H) and hit the calculate button. Here is how the Length of Crest given Discharge over Weir calculation can be explained with given input values -> 3.00052 = 26.6/(1.001*sqrt((2*[g])*(5-1.001))).

FAQ

What is Length of Crest given Discharge over Weir?

Length of Crest given Discharge over Weir is defined as the horizontal distance along the top edge of the weir structure that spans the width of the flow channel and is represented as L_w = Q_w/(h_c*sqrt((2*[g])*(H-h_c))) or Length of Weir Crest = Discharge Over Broad Crested Weir/(Critical Depth of Weir*sqrt((2*[g])*(Total Head-Critical Depth of 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, The Critical Depth of Weir is defined as the depth of flow where energy is at a minimum for a particular discharge & Total Head is the combination of weir crested and additional head.

How to calculate Length of Crest given Discharge over Weir?

Length of Crest given Discharge over Weir is defined as the horizontal distance along the top edge of the weir structure that spans the width of the flow channel is calculated using Length of Weir Crest = Discharge Over Broad Crested Weir/(Critical Depth of Weir*sqrt((2*[g])*(Total Head-Critical Depth of Weir))). To calculate Length of Crest given Discharge over Weir, you need Discharge Over Broad Crested Weir (Q_w), Critical Depth of Weir (h_c) & Total Head (H). With our tool, you need to enter the respective value for Discharge Over Broad Crested Weir, Critical Depth of Weir & Total Head and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Length of Weir Crest?

In this formula, Length of Weir Crest uses Discharge Over Broad Crested Weir, Critical Depth of Weir & Total Head. We can use 3 other way(s) to calculate the same, which is/are as follows -

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 = 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))

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