Discharge over Broad-Crested Weir Calculator

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Notches and Weirs

Draft Tube

Orifices and Mouthpieces

Properties of Surfaces and Solids

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Discharge

Geometric DImension

✖The Coefficient of Discharge or efflux coefficient is the ratio of the actual discharge to the theoretical discharge.ⓘ Coefficient of Discharge [C_d]			+10% -10%
✖The Length of Weir is the of the base of weir through which discharge is taking place.ⓘ Length of Weir [L_weir]			+10% -10%
✖The Head of Liquid is the height of a liquid column that corresponds to a particular pressure exerted by the liquid column from the base of its container.ⓘ Head of Liquid [H]			+10% -10%

✖Discharge Weir is the rate of flow of a liquid.ⓘ Discharge over Broad-Crested Weir [Q]

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Formula

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Discharge over Broad-Crested Weir

Formula

`"Q" = 1.705*"C"_{"d"}*"L"_{"weir"}*"H"^(3/2)`

Example

`"52.1915m³/s"=1.705*"0.8"*"1.21m"*("10m")^(3/2)`

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Discharge over Broad-Crested Weir Solution

STEP 0: Pre-Calculation Summary

Formula Used

Discharge Weir = 1.705*Coefficient of Discharge*Length of Weir*Head of Liquid^(3/2)
Q = 1.705*C_d*L_weir*H^(3/2)
This formula uses 4 Variables

Variables Used

Discharge Weir - (Measured in Cubic Meter per Second) - Discharge Weir is the rate of flow of a liquid.
Coefficient of Discharge - The Coefficient of Discharge or efflux coefficient is the ratio of the actual discharge to the theoretical discharge.
Length of Weir - (Measured in Meter) - The Length of Weir is the of the base of weir through which discharge is taking place.
Head of Liquid - (Measured in Meter) - The Head of Liquid is the height of a liquid column that corresponds to a particular pressure exerted by the liquid column from the base of its container.

STEP 1: Convert Input(s) to Base Unit

Coefficient of Discharge: 0.8 --> No Conversion Required
Length of Weir: 1.21 Meter --> 1.21 Meter No Conversion Required
Head of Liquid: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q = 1.705*C_d*L_weir*H^(3/2) --> 1.705*0.8*1.21*10^(3/2)

Evaluating ... ...

Q = 52.191495414483

STEP 3: Convert Result to Output's Unit

52.191495414483 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

52.191495414483 ≈ 52.1915 Cubic Meter per Second <-- Discharge Weir

(Calculation completed in 00.004 seconds)

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Created by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

Maiarutselvan V has created this Calculator and 300+ more calculators!

Verified by Vinay Mishra

Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune

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< 17 Discharge Calculators

Discharge over Trapezoidal Notch or Weir

Go Theoretical Discharge = 2/3*Coefficient of Discharge Rectangular*Length of Weir*sqrt(2*[g])*Head of Liquid^(3/2)+8/15*Coefficient of Discharge Triangular*tan(Angle A/2)*sqrt(2*[g])*Head of Liquid^(5/2)

Time Required to Empty Reservoir

Go Total Time Taken = ((3*Area of Weir)/(Coefficient of Discharge*Length of Weir*sqrt(2*[g])))*(1/sqrt(Final Height of Liquid)-1/sqrt(Initial Height of Liquid))

Coefficient of Discharge for Time Required to Empty Reservoir

Go Coefficient of Discharge = (3*Area of Weir)/(Total Time Taken*Length of Weir*sqrt(2*[g]))*(1/sqrt(Final Height of Liquid)-1/sqrt(Initial Height of Liquid))

Time Required to Empty Tank with Triangular Weir or Notch

Go Total Time Taken = ((5*Area of Weir)/(4*Coefficient of Discharge*tan(Angle A/2)*sqrt(2*[g])))*(1/(Final Height of Liquid^(3/2))-1/(Initial Height of Liquid^(3/2)))

Discharge over Rectangle Weir for Bazin's formula with Velocity of Approach

Go Discharge Weir = (0.405+0.003/(Head of Liquid+Head Due to Velocity of Approach))*Length of Weir*sqrt(2*[g])*(Head of Liquid+Head Due to Velocity of Approach)^(3/2)

Discharge with Velocity of Approach

Go Discharge = 2/3*Coefficient of Discharge*Length of Weir*sqrt(2*[g])*((Initial Height of Liquid+Final Height of Liquid)^(3/2)-Final Height of Liquid^(3/2))

Discharge over Broad-Crested Weir for Head of Liquid at Middle

Go Discharge Weir = Coefficient of Discharge*Length of Weir*sqrt(2*[g]*(Head of Liquid Middle^2*Head of Liquid-Head of Liquid Middle^3))

Discharge over Broad-Crested Weir with Velocity of Approach

Go Discharge Weir = 1.705*Coefficient of Discharge*Length of Weir*((Head of Liquid+Head Due to Velocity of Approach)^(3/2)-Head Due to Velocity of Approach^(3/2))

Discharge over Rectangle Weir with Two End Contractions

Go Discharge Weir = 2/3*Coefficient of Discharge*(Length of Weir-0.2*Head of Liquid)*sqrt(2*[g])*Head of Liquid^(3/2)

Head of Liquid above V-notch

Go Head of Liquid = (Theoretical Discharge/(8/15*Coefficient of Discharge*tan(Angle A/2)*sqrt(2*[g])))^0.4

Discharge over Triangular Notch or Weir

Go Theoretical Discharge = 8/15*Coefficient of Discharge*tan(Angle A/2)*sqrt(2*[g])*Head of Liquid^(5/2)

Head of Liquid at Crest

Go Head of Liquid = (Theoretical Discharge/(2/3*Coefficient of Discharge*Length of Weir*sqrt(2*[g])))^(2/3)

Discharge over Rectangle Notch or Weir

Go Theoretical Discharge = 2/3*Coefficient of Discharge*Length of Weir*sqrt(2*[g])*Head of Liquid^(3/2)

Discharge without Velocity of Approach

Go Discharge = 2/3*Coefficient of Discharge*Length of Weir*sqrt(2*[g])*Initial Height of Liquid^(3/2)

Discharge over Rectangle Weir Considering Bazin's formula

Go Discharge Weir = (0.405+0.003/Head of Liquid)*Length of Weir*sqrt(2*[g])*Head of Liquid^(3/2)

Discharge over Rectangle Weir Considering Francis's formula

Go Discharge = 1.84*Length of Weir*((Initial Height of Liquid+Final Height of Liquid)^(3/2)-Final Height of Liquid^(3/2))

Discharge over Broad-Crested Weir

Go Discharge Weir = 1.705*Coefficient of Discharge*Length of Weir*Head of Liquid^(3/2)

Discharge over Broad-Crested Weir Formula

Discharge Weir = 1.705*Coefficient of Discharge*Length of Weir*Head of Liquid^(3/2)
Q = 1.705*C_d*L_weir*H^(3/2)

What is 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.

What are the types of weirs based on shape of the crest?

It is of four types they are, sharp-crested weir, broad- crested weir, narrow-crested weir, and ogee-shaped weir.

How to Calculate Discharge over Broad-Crested Weir?

Discharge over Broad-Crested Weir calculator uses Discharge Weir = 1.705*Coefficient of Discharge*Length of Weir*Head of Liquid^(3/2) to calculate the Discharge Weir, Discharge over Broad-crested Weir is determined by the geometry of the weir and the head of water above the weir crest. The broad-crested weir is a type of flow control structure commonly used in open channel hydraulics. Discharge Weir is denoted by Q 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 Coefficient of Discharge (C_d), Length of Weir (L_weir) & Head of Liquid (H) and hit the calculate button. Here is how the Discharge over Broad-Crested Weir calculation can be explained with given input values -> 52.1915 = 1.705*0.8*1.21*10^(3/2).

FAQ

What is Discharge over Broad-Crested Weir?

Discharge over Broad-crested Weir is determined by the geometry of the weir and the head of water above the weir crest. The broad-crested weir is a type of flow control structure commonly used in open channel hydraulics and is represented as Q = 1.705*C_d*L_weir*H^(3/2) or Discharge Weir = 1.705*Coefficient of Discharge*Length of Weir*Head of Liquid^(3/2). The Coefficient of Discharge or efflux coefficient is the ratio of the actual discharge to the theoretical discharge, The Length of Weir is the of the base of weir through which discharge is taking place & The Head of Liquid is the height of a liquid column that corresponds to a particular pressure exerted by the liquid column from the base of its container.

How to calculate Discharge over Broad-Crested Weir?

Discharge over Broad-crested Weir is determined by the geometry of the weir and the head of water above the weir crest. The broad-crested weir is a type of flow control structure commonly used in open channel hydraulics is calculated using Discharge Weir = 1.705*Coefficient of Discharge*Length of Weir*Head of Liquid^(3/2). To calculate Discharge over Broad-Crested Weir, you need Coefficient of Discharge (C_d), Length of Weir (L_weir) & Head of Liquid (H). With our tool, you need to enter the respective value for Coefficient of Discharge, Length of Weir & Head of Liquid 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 Discharge Weir?

In this formula, Discharge Weir uses Coefficient of Discharge, Length of Weir & Head of Liquid. We can use 5 other way(s) to calculate the same, which is/are as follows -

Discharge Weir = (0.405+0.003/Head of Liquid)*Length of Weir*sqrt(2*[g])*Head of Liquid^(3/2)
Discharge Weir = (0.405+0.003/(Head of Liquid+Head Due to Velocity of Approach))*Length of Weir*sqrt(2*[g])*(Head of Liquid+Head Due to Velocity of Approach)^(3/2)
Discharge Weir = 2/3*Coefficient of Discharge*(Length of Weir-0.2*Head of Liquid)*sqrt(2*[g])*Head of Liquid^(3/2)
Discharge Weir = Coefficient of Discharge*Length of Weir*sqrt(2*[g]*(Head of Liquid Middle^2*Head of Liquid-Head of Liquid Middle^3))
Discharge Weir = 1.705*Coefficient of Discharge*Length of Weir*((Head of Liquid+Head Due to Velocity of Approach)^(3/2)-Head Due to Velocity of Approach^(3/2))

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