Length of Crest over Broad Crested Weir for Max Discharge Solution

STEP 0: Pre-Calculation Summary
Formula Used
Length of Weir Crest = Max Discharge Over Broad Crested Weir/(1.70*Coefficient of Discharge*(Total Head)^(3/2))
Lw = QW(max)/(1.70*Cd*(H)^(3/2))
This formula uses 4 Variables
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.
Max Discharge Over Broad Crested Weir - (Measured in Cubic Meter per Second) - Max Discharge Over Broad Crested Weir is max discharge of the quantity of any fluid flow over unit time. The quantity may be either volume or mass.
Coefficient of Discharge - The Coefficient of Discharge is ratio of actual discharge to theoretical 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
Max Discharge Over Broad Crested Weir: 37.6 Cubic Meter per Second --> 37.6 Cubic Meter per Second No Conversion Required
Coefficient of Discharge: 0.66 --> No Conversion Required
Total Head: 5 Meter --> 5 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Lw = QW(max)/(1.70*Cd*(H)^(3/2)) --> 37.6/(1.70*0.66*(5)^(3/2))
Evaluating ... ...
Lw = 2.99736741368956
STEP 3: Convert Result to Output's Unit
2.99736741368956 Meter --> No Conversion Required
FINAL ANSWER
2.99736741368956 2.997367 Meter <-- Length of Weir Crest
(Calculation completed in 00.004 seconds)

Credits

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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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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))

Length of Crest over Broad Crested Weir for Max Discharge Formula

​LaTeX ​Go
Length of Weir Crest = Max Discharge Over Broad Crested Weir/(1.70*Coefficient of Discharge*(Total Head)^(3/2))
Lw = QW(max)/(1.70*Cd*(H)^(3/2))

What does Length of Crest mean?

Length of Crest over Broad Crested Weir as it applies to the area of reclamation can be defined as ' The distance, measured along the 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 over Broad Crested Weir for Max Discharge?

Length of Crest over Broad Crested Weir for Max Discharge calculator uses Length of Weir Crest = Max Discharge Over Broad Crested Weir/(1.70*Coefficient of Discharge*(Total Head)^(3/2)) to calculate the Length of Weir Crest, Length of Crest over Broad Crested Weir for Max Discharge is defined as the distance measured along the axis as it applies to the area of reclamation. Length of Weir Crest is denoted by Lw symbol.

How to calculate Length of Crest over Broad Crested Weir for Max Discharge using this online calculator? To use this online calculator for Length of Crest over Broad Crested Weir for Max Discharge, enter Max Discharge Over Broad Crested Weir (QW(max)), Coefficient of Discharge (Cd) & Total Head (H) and hit the calculate button. Here is how the Length of Crest over Broad Crested Weir for Max Discharge calculation can be explained with given input values -> 2.184252 = 37.6/(1.70*0.66*(5)^(3/2)).

FAQ

What is Length of Crest over Broad Crested Weir for Max Discharge?
Length of Crest over Broad Crested Weir for Max Discharge is defined as the distance measured along the axis as it applies to the area of reclamation and is represented as Lw = QW(max)/(1.70*Cd*(H)^(3/2)) or Length of Weir Crest = Max Discharge Over Broad Crested Weir/(1.70*Coefficient of Discharge*(Total Head)^(3/2)). Max Discharge Over Broad Crested Weir is max discharge of the quantity of any fluid flow over unit time. The quantity may be either volume or mass, The Coefficient of Discharge is ratio of actual discharge to theoretical discharge & Total Head is the combination of weir crested and additional head.
How to calculate Length of Crest over Broad Crested Weir for Max Discharge?
Length of Crest over Broad Crested Weir for Max Discharge is defined as the distance measured along the axis as it applies to the area of reclamation is calculated using Length of Weir Crest = Max Discharge Over Broad Crested Weir/(1.70*Coefficient of Discharge*(Total Head)^(3/2)). To calculate Length of Crest over Broad Crested Weir for Max Discharge, you need Max Discharge Over Broad Crested Weir (QW(max)), Coefficient of Discharge (Cd) & Total Head (H). With our tool, you need to enter the respective value for Max Discharge Over Broad Crested Weir, Coefficient of Discharge & 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 Max Discharge Over Broad Crested Weir, Coefficient of Discharge & 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 = 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)))
  • Length of Weir Crest = Discharge Over Broad Crested Weir/(1.70*Coefficient of Discharge*(Total Head)^(3/2))
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