Length of Crest if Critical Depth is Constant for Discharge of 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 Coefficient of Discharge is ratio of actual discharge to theoretical discharge.ⓘ Coefficient of Discharge [C_d]			+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 if Critical Depth is Constant for Discharge of Weir [L_w]

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

STEP 0: Pre-Calculation Summary

Formula Used

Length of Weir Crest = Discharge Over Broad Crested Weir/(1.70*Coefficient of Discharge*(Total Head)^(3/2))
L_w = Q_w/(1.70*C_d*(H)^(3/2))
This formula uses 4 Variables

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.
Coefficient of Discharge - The Coefficient of Discharge is ratio of actual discharge to theoretical 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
Coefficient of Discharge: 0.66 --> 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/(1.70*C_d*(H)^(3/2)) --> 26.6/(1.70*0.66*(5)^(3/2))

Evaluating ... ...

L_w = 2.12047801074846

STEP 3: Convert Result to Output's Unit

2.12047801074846 Meter --> No Conversion Required

FINAL ANSWER

2.12047801074846 ≈ 2.120478 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 if Critical Depth is Constant for Discharge of Weir

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National Institute of Technology (NIT), Warangal

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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 if Critical Depth is Constant for Discharge of Weir Formula

LaTeX Go

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

What does Coefficien of Discharge mean?

Coefficient of Discharge is stated as the ratio between the actual flow discharge and theoretical flow discharge.

What is a Weir?

A weir or low head dam is a barrier across the width of a river that alters the flow characteristics of water and usually results in a change in the height of the river level. They are also used to control the flow of water for outlets of lakes, ponds, and reservoirs.

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

Length of Crest if Critical Depth is Constant for Discharge of Weir calculator uses Length of Weir Crest = Discharge Over Broad Crested Weir/(1.70*Coefficient of Discharge*(Total Head)^(3/2)) to calculate 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 calculate Length of Crest if Critical Depth is Constant for Discharge of Weir using this online calculator? To use this online calculator 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. Here is how the Length of Crest if Critical Depth is Constant for Discharge of Weir calculation can be explained with given input values -> 2.120478 = 26.6/(1.70*0.66*(5)^(3/2)).

FAQ

What is 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 defined as the depth of flow at maximum discharge capacity, is maintained and is represented as L_w = Q_w/(1.70*C_d*(H)^(3/2)) or Length of Weir Crest = Discharge Over Broad Crested Weir/(1.70*Coefficient of Discharge*(Total Head)^(3/2)). 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 Coefficient of Discharge is ratio of actual discharge to theoretical discharge & Total Head is the combination of weir crested and additional head.

How to calculate 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 defined as the depth of flow at maximum discharge capacity, is maintained is calculated using Length of Weir Crest = Discharge Over Broad Crested Weir/(1.70*Coefficient of Discharge*(Total Head)^(3/2)). To calculate Length of Crest if Critical Depth is Constant for Discharge of Weir, you need Discharge Over Broad Crested Weir (Q_w), Coefficient of Discharge (C_d) & Total Head (H). With our tool, you need to enter the respective value for Discharge Over Broad Crested Weir, Coefficient of Discharge & 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, Coefficient of Discharge & Total Head. We can use 3 other way(s) to calculate the same, which is/are as follows -

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))

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