Actual Discharge over Broad Crested Weir Calculator

✖Coefficient of Discharge is ratio of Actual discharge to theoretical discharge.ⓘ Coefficient of Discharge [C_d]			+10% -10%
✖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%
✖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%

✖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]

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Formula

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Actual Discharge over Broad Crested Weir

Formula

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

Example

17.54701 m³/s = 0.66 \cdot 3 m \cdot 1.001 m \cdot \sqrt{(2 \cdot 9.8 m/s²) \cdot (5 m - 1.001 m)}

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Actual Discharge over Broad Crested Weir Solution

STEP 0: Pre-Calculation Summary

Formula Used

Actual Discharge over Broad Crested Weir = Coefficient of Discharge*Length of Weir Crest*Critical Depth of Weir*sqrt((2*Acceleration due to Gravity)*(Total Head-Critical Depth of Weir))
Q_a = C_d*L_w*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

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 - Coefficient of Discharge is ratio of Actual discharge to theoretical discharge.
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.
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

Coefficient of Discharge: 0.66 --> No Conversion Required
Length of Weir Crest: 3 Meter --> 3 Meter 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

Q_a = C_d*L_w*h_c*sqrt((2*g)*(H-h_c)) --> 0.66*3*1.001*sqrt((2*9.8)*(5-1.001))

Evaluating ... ...

Q_a = 17.5470052283243

STEP 3: Convert Result to Output's Unit

17.5470052283243 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

17.5470052283243 ≈ 17.54701 Cubic Meter per Second <-- Actual Discharge over Broad Crested Weir

(Calculation completed in 00.004 seconds)

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

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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

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

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

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

Total Head above Weir Crest

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

Actual Discharge over Broad Crested Weir Formula

What is meant by Actual Discharge?

Actual 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.

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 Actual Discharge over Broad Crested Weir?

Actual Discharge over Broad Crested Weir calculator uses Actual Discharge over Broad Crested Weir = Coefficient of Discharge*Length of Weir Crest*Critical Depth of Weir*sqrt((2*Acceleration due to Gravity)*(Total Head-Critical Depth of Weir)) to calculate the Actual Discharge over Broad Crested Weir, Actual Discharge over Broad Crested Weir is defined as the measured flow rate of water passing over a weir structure with a wide crest, where the flow is spread out. Actual Discharge over Broad Crested Weir is denoted by Q_a symbol.

How to calculate Actual Discharge over Broad Crested Weir using this online calculator? To use this online calculator for Actual Discharge over Broad Crested Weir, enter Coefficient of Discharge (C_d), Length of Weir Crest (L_w), Critical Depth of Weir (h_c), Acceleration due to Gravity (g) & Total Head (H) and hit the calculate button. Here is how the Actual Discharge over Broad Crested Weir calculation can be explained with given input values -> 17.54701 = 0.66*3*1.001*sqrt((2*9.8)*(5-1.001)).

FAQ

What is Actual Discharge over Broad Crested Weir?

Actual Discharge over Broad Crested Weir is defined as the measured flow rate of water passing over a weir structure with a wide crest, where the flow is spread out and is represented as Q_a = C_d*L_w*h_c*sqrt((2*g)*(H-h_c)) or Actual Discharge over Broad Crested Weir = Coefficient of Discharge*Length of Weir Crest*Critical Depth of Weir*sqrt((2*Acceleration due to Gravity)*(Total Head-Critical Depth of Weir)). Coefficient of Discharge is ratio of Actual discharge to theoretical discharge, 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, 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 Actual Discharge over Broad Crested Weir?

Actual Discharge over Broad Crested Weir is defined as the measured flow rate of water passing over a weir structure with a wide crest, where the flow is spread out is calculated using Actual Discharge over Broad Crested Weir = Coefficient of Discharge*Length of Weir Crest*Critical Depth of Weir*sqrt((2*Acceleration due to Gravity)*(Total Head-Critical Depth of Weir)). To calculate Actual Discharge over Broad Crested Weir, you need Coefficient of Discharge (C_d), Length of Weir Crest (L_w), 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 Coefficient of Discharge, Length of Weir Crest, 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.

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