Discharge over Broad Crested Weir Calculator

✖Length of Weir Crest is the measurement or extent of Weir Crest from end to end.ⓘ Length of Weir Crest [L_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%

✖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]

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Discharge over Broad Crested Weir Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
Length of Weir Crest - (Measured in Meter) - Length of Weir Crest is the measurement or extent of Weir Crest from end to end.
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

Length of Weir Crest: 3 Meter --> 3 Meter 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

Q_w = L_w*h_c*sqrt((2*[g])*(H-h_c)) --> 3*1.001*sqrt((2*[g])*(5-1.001))

Evaluating ... ...

Q_w = 26.5953904044081

STEP 3: Convert Result to Output's Unit

26.5953904044081 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

26.5953904044081 ≈ 26.59539 Cubic Meter per Second <-- Discharge Over Broad Crested Weir

(Calculation completed in 00.004 seconds)

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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

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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))

Discharge over Broad Crested Weir Formula

LaTeX Go

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

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 Discharge over Broad Crested Weir?

Discharge over Broad Crested Weir calculator uses Discharge Over Broad Crested Weir = Length of Weir Crest*Critical Depth of Weir*sqrt((2*[g])*(Total Head-Critical Depth of Weir)) to calculate the Discharge Over Broad Crested Weir, Discharge over Broad Crested Weir is defined as the flow of water passing over a weir structure with a wide crest. It is characterized by the gradual increase and subsequent decrease of water depth over the crest, resulting in a complex flow pattern. Discharge Over Broad Crested Weir is denoted by Q_w symbol.

How to calculate Discharge over Broad Crested Weir using this online calculator? To use this online calculator for Discharge over Broad Crested Weir, enter Length of Weir Crest (L_w), Critical Depth of Weir (h_c) & Total Head (H) and hit the calculate button. Here is how the Discharge over Broad Crested Weir calculation can be explained with given input values -> 26.59539 = 3*1.001*sqrt((2*[g])*(5-1.001)).

FAQ

What is Discharge over Broad Crested Weir?

Discharge over Broad Crested Weir is defined as the flow of water passing over a weir structure with a wide crest. It is characterized by the gradual increase and subsequent decrease of water depth over the crest, resulting in a complex flow pattern and is represented as Q_w = L_w*h_c*sqrt((2*[g])*(H-h_c)) or Discharge Over Broad Crested Weir = Length of Weir Crest*Critical Depth of Weir*sqrt((2*[g])*(Total Head-Critical Depth of Weir)). Length of Weir Crest is the measurement or extent of Weir Crest from end to end, 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 Discharge over Broad Crested Weir?

Discharge over Broad Crested Weir is defined as the flow of water passing over a weir structure with a wide crest. It is characterized by the gradual increase and subsequent decrease of water depth over the crest, resulting in a complex flow pattern is calculated using Discharge Over Broad Crested Weir = Length of Weir Crest*Critical Depth of Weir*sqrt((2*[g])*(Total Head-Critical Depth of Weir)). To calculate Discharge over Broad Crested Weir, you need Length of Weir Crest (L_w), Critical Depth of Weir (h_c) & Total Head (H). With our tool, you need to enter the respective value for Length of Weir Crest, 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.

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