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))
Qw = Lw*hc*sqrt((2*[g])*(H-hc))
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
Qw = Lw*hc*sqrt((2*[g])*(H-hc)) --> 3*1.001*sqrt((2*[g])*(5-1.001))
Evaluating ... ...
Qw = 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)

Credits

Created by M Naveen
National Institute of Technology (NIT), Warangal
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20 Broad Crested Weir Calculators

Coefficient of Discharge given Actual Discharge over Broad Crested Weir
Go Coefficient of Discharge = Actual Discharge over Broad Crested Weir/(Length of Weir Crest*Critical Depth of Weir*sqrt((2*Acceleration due to Gravity)*(Total Head-Critical Depth of Weir)))
Length of Crest given Actual Discharge over Broad Crested Weir
Go 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
Go 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))
Total Head for Actual Discharge over Broad Crested Weir
Go Total Head = (((Actual Discharge over Broad Crested Weir/(Coefficient of Discharge*Length of Weir Crest*Critical Depth of Weir))^2)*(1/(2*Acceleration due to Gravity)))+Critical Depth of Weir
Length of Crest given Discharge over Weir
Go Length of Weir Crest = Discharge Over Broad Crested Weir/(Critical Depth of Weir*sqrt((2*[g])*(Total Head-Critical Depth of Weir)))
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))
Total Head given Discharge over Weir Crest
Go Total Head = ((Discharge Over Broad Crested Weir/(Length of Weir Crest*Critical Depth of Weir))^2)*(1/(2*[g]))+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))
Head if Velocity is considered for Discharge over Broad Crested Weir
Go Total Head = (Max Discharge Over Broad Crested Weir/(1.70*Coefficient of Discharge*Length of Weir Crest))^(2/3)
Length of Crest over Broad Crested Weir for Max Discharge
Go Length of Weir Crest = Max Discharge Over Broad Crested Weir/(1.70*Coefficient of Discharge*(Total Head)^(3/2))
Total Head for Maximum Discharge
Go Total Head = (Max Discharge Over Broad Crested Weir/(1.70*Coefficient of Discharge*Length of Weir Crest))^(2/3)
Maximum Discharge of Broad Crested Weir if Critical Depth is Constant
Go Max Discharge Over Broad Crested Weir = 1.70*Coefficient of Discharge*Length of Weir Crest*(Total Head)^(3/2)
Coefficient of Discharge for Max Discharge over Crested Weir
Go Coefficient of Discharge = Max Discharge Over Broad Crested Weir/(1.70*Length of Weir Crest*(Total Head)^(3/2))
Max Discharge over Broad Crested Weir
Go Max Discharge Over Broad Crested Weir = 1.70*Coefficient of Discharge*Length of Weir Crest*(Total Head)^(3/2)
Length of Crest if Critical Depth is Constant for Discharge of Weir
Go Length of Weir Crest = Discharge Over Broad Crested Weir/(1.70*Coefficient of Discharge*(Total Head)^(3/2))
Coefficient of Discharge given Discharge of Weir if Critical Depth is Constant
Go Coefficient of Discharge = Discharge Over Broad Crested Weir/(1.70*Length of Weir Crest*(Total Head)^(3/2))
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))
Head for Broad Crested Weir
Go Head on Upstream of Weir = (Total Head+Additional Head)
Additional Head given Head for Broad Crested Weir
Go Additional Head = Head on Upstream of Weir-Total Head

Discharge over Broad Crested Weir Formula

Discharge Over Broad Crested Weir = Length of Weir Crest*Critical Depth of Weir*sqrt((2*[g])*(Total Head-Critical Depth of Weir))
Qw = Lw*hc*sqrt((2*[g])*(H-hc))

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 Qw 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 (Lw), Critical Depth of Weir (hc) & 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 Qw = Lw*hc*sqrt((2*[g])*(H-hc)) 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 (Lw), Critical Depth of Weir (hc) & 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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