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)))
Lw = Qa/(Cd*hc*sqrt((2*g)*(H-hc)))
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 - 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
Lw = Qa/(Cd*hc*sqrt((2*g)*(H-hc))) --> 17.54/(0.66*1.001*sqrt((2*9.8)*(5-1.001)))
Evaluating ... ...
Lw = 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)

Credits

Created by M Naveen
National Institute of Technology (NIT), Warangal
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National Institute of Technology Karnataka (NITK), Surathkal
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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

Length of Crest given Actual Discharge over Broad Crested Weir Formula

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)))
Lw = Qa/(Cd*hc*sqrt((2*g)*(H-hc)))

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 Lw 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 (Qa), Coefficient of Discharge (Cd), Critical Depth of Weir (hc), 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 Lw = Qa/(Cd*hc*sqrt((2*g)*(H-hc))) 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, 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 (Qa), Coefficient of Discharge (Cd), Critical Depth of Weir (hc), 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))
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