Length of Crest given Actual Discharge over Broad Crested Weir Calculator

✖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.ⓘ Actual Discharge over Broad Crested Weir [Q_a]			+10% -10%
✖The Coefficient of Discharge is ratio of actual discharge to theoretical discharge.ⓘ Coefficient of Discharge [C_d]			+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%
✖The Acceleration due to Gravity is acceleration gained by an object because of gravitational force.ⓘ Acceleration due to Gravity [g]			+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 Actual Discharge over Broad Crested Weir [L_w]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Broad Crested Weir Formulas PDF PDF Image

Length of Crest given Actual Discharge over Broad Crested Weir Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)))
L_w = Q_a/(C_d*h_c*sqrt((2*g)*(H-h_c)))
This formula uses 1 Functions, 6 Variables

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.
Actual Discharge over Broad Crested Weir - (Measured in Cubic Meter per Second) - 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.
Coefficient of Discharge - The Coefficient of Discharge is ratio of actual discharge to theoretical discharge.
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.
Acceleration due to Gravity - (Measured in Meter per Square Second) - The Acceleration due to Gravity is acceleration gained by an object because of gravitational force.
Total Head - (Measured in Meter) - Total Head is the combination of weir crested and additional head.

STEP 1: Convert Input(s) to Base Unit

Actual Discharge over Broad Crested Weir: 17.54 Cubic Meter per Second --> 17.54 Cubic Meter per Second No Conversion Required
Coefficient of Discharge: 0.66 --> No Conversion Required
Critical Depth of Weir: 1.001 Meter --> 1.001 Meter No Conversion Required
Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Total Head: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_w = Q_a/(C_d*h_c*sqrt((2*g)*(H-h_c))) --> 17.54/(0.66*1.001*sqrt((2*9.8)*(5-1.001)))

Evaluating ... ...

L_w = 2.99880232069807

STEP 3: Convert Result to Output's Unit

2.99880232069807 Meter --> No Conversion Required

FINAL ANSWER

2.99880232069807 ≈ 2.998802 Meter <-- Length of Weir Crest

(Calculation completed in 00.004 seconds)

You are here -

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

Credits

Created by M Naveen

National Institute of Technology (NIT), Warangal

M Naveen has created this Calculator and 500+ more calculators!

Verified by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has verified this Calculator and 400+ more calculators!

< 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 Actual Discharge over Broad Crested Weir Formula

LaTeX Go

What is meant by Length of Crest?

Length of Crest given Actual Discharge over Broad Crested Weir as it applies to area of reclamation can be defined as ' distance, measured along axis.

What is a Broad Crested Weir?

Broad crested weirs are robust structures that are generally constructed from reinforced concrete and which usually span the full width of the channel. They are used to measure the discharge of rivers, and are much more suited for this purpose than the relatively flimsy sharp crested weirs. The broad crested weir is one which the water flow discharge in measured from large water bodies like big canals while the sharp crested weir will help in measuring the discharge of the water from the small rivers and canals and the weir is placed in the direction of the flow of water.

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

Length of Crest given Actual Discharge over Broad Crested Weir calculator 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 calculate 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 calculate Length of Crest given Actual Discharge over Broad Crested Weir using this online calculator? To use this online calculator 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. Here is how the Length of Crest given Actual Discharge over Broad Crested Weir calculation can be explained with given input values -> 2.171311 = 17.54/(0.66*1.001*sqrt((2*9.8)*(5-1.001))).

FAQ

What is Length of Crest given Actual Discharge over Broad Crested Weir?

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 and is represented as L_w = Q_a/(C_d*h_c*sqrt((2*g)*(H-h_c))) or 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))). 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, The Coefficient of Discharge is ratio of actual discharge to theoretical discharge, The Critical Depth of Weir is defined as the depth of flow where energy is at a minimum for a particular discharge, The Acceleration due to Gravity is acceleration gained by an object because of gravitational force & Total Head is the combination of weir crested and additional head.

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

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 is calculated using 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 calculate Length of Crest given Actual Discharge over Broad Crested Weir, you need 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). With our tool, you need to enter the respective value for Actual Discharge over Broad Crested Weir, Coefficient of Discharge, Critical Depth of Weir, Acceleration due to Gravity & 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 Actual Discharge over Broad Crested Weir, Coefficient of Discharge, Critical Depth of Weir, Acceleration due to Gravity & 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 = 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))

Home

FREE PDFs

🔍 Search