Head if Velocity is considered for Discharge over Broad Crested Weir Calculator

✖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.ⓘ Max Discharge Over Broad Crested Weir [Q_W(max)]			+10% -10%
✖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%

✖Total Head is the combination of weir crested and additional head.ⓘ Head if Velocity is considered for Discharge over Broad Crested Weir [H]

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Formula

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Head if Velocity is considered for Discharge over Broad Crested Weir

Formula

`"H" = ("Q"_{"W(max)"}/(1.70*"C"_{"d"}*"L"_{"w"}))^(2/3)`

Example

`"4.997074m"=("37.6m³/s"/(1.70*"0.66"*"3m"))^(2/3)`

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Head if Velocity is considered for Discharge over Broad Crested Weir Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Head = (Max Discharge Over Broad Crested Weir/(1.70*Coefficient of Discharge*Length of Weir Crest))^(2/3)
H = (Q_W(max)/(1.70*C_d*L_w))^(2/3)
This formula uses 4 Variables

Variables Used

Total Head - (Measured in Meter) - Total Head is the combination of weir crested and additional head.
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 - 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.

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H = (Q_W(max)/(1.70*C_d*L_w))^(2/3) --> (37.6/(1.70*0.66*3))^(2/3)

Evaluating ... ...

H = 4.99707447612327

STEP 3: Convert Result to Output's Unit

4.99707447612327 Meter --> No Conversion Required

FINAL ANSWER

4.99707447612327 ≈ 4.997074 Meter <-- Total Head

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Hydraulics and Waterworks » Flow Over Notches and Weirs » Broad Crested Weir » Head if Velocity is considered for Discharge over Broad Crested Weir

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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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< 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)

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))

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)

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)

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))

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))

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

Head if Velocity is considered for Discharge over Broad Crested Weir Formula

Total Head = (Max Discharge Over Broad Crested Weir/(1.70*Coefficient of Discharge*Length of Weir Crest))^(2/3)
H = (Q_W(max)/(1.70*C_d*L_w))^(2/3)

What does Discharge mean?

A discharge 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 Head if Velocity is considered for Discharge over Broad Crested Weir?

Head if Velocity is considered for Discharge over Broad Crested Weir calculator uses Total Head = (Max Discharge Over Broad Crested Weir/(1.70*Coefficient of Discharge*Length of Weir Crest))^(2/3) to calculate the Total Head, Head if Velocity is considered for Discharge over Broad Crested Weir is defined as the combination of crested weir head and the additional head. Total Head is denoted by H symbol.

How to calculate Head if Velocity is considered for Discharge over Broad Crested Weir using this online calculator? To use this online calculator for Head if Velocity is considered for Discharge over Broad Crested Weir, enter Max Discharge Over Broad Crested Weir (Q_W(max)), Coefficient of Discharge (C_d) & Length of Weir Crest (L_w) and hit the calculate button. Here is how the Head if Velocity is considered for Discharge over Broad Crested Weir calculation can be explained with given input values -> 4.046606 = (37.6/(1.70*0.66*3))^(2/3).

FAQ

What is Head if Velocity is considered for Discharge over Broad Crested Weir?

Head if Velocity is considered for Discharge over Broad Crested Weir is defined as the combination of crested weir head and the additional head and is represented as H = (Q_W(max)/(1.70*C_d*L_w))^(2/3) or Total Head = (Max Discharge Over Broad Crested Weir/(1.70*Coefficient of Discharge*Length of Weir Crest))^(2/3). 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 is ratio of Actual discharge to theoretical discharge & Length of Weir Crest is the measurement or extent of Weir Crest from end to end.

How to calculate Head if Velocity is considered for Discharge over Broad Crested Weir?

Head if Velocity is considered for Discharge over Broad Crested Weir is defined as the combination of crested weir head and the additional head is calculated using Total Head = (Max Discharge Over Broad Crested Weir/(1.70*Coefficient of Discharge*Length of Weir Crest))^(2/3). To calculate Head if Velocity is considered for Discharge over Broad Crested Weir, you need Max Discharge Over Broad Crested Weir (Q_W(max)), Coefficient of Discharge (C_d) & Length of Weir Crest (L_w). With our tool, you need to enter the respective value for Max Discharge Over Broad Crested Weir, Coefficient of Discharge & Length of Weir Crest 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 Total Head?

In this formula, Total Head uses Max Discharge Over Broad Crested Weir, Coefficient of Discharge & Length of Weir Crest. We can use 4 other way(s) to calculate the same, which is/are as follows -

Total Head = Critical Depth of Weir+(Velocity of Fluid for Weir^2/(2*Acceleration due to Gravity))
Total Head = ((Discharge Over Broad Crested Weir/(Length of Weir Crest*Critical Depth of Weir))^2)*(1/(2*[g]))+Critical Depth of Weir
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
Total Head = (Max Discharge Over Broad Crested Weir/(1.70*Coefficient of Discharge*Length of Weir Crest))^(2/3)

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