Total Head above Weir Crest Calculator

✖The Critical Depth of Weir is defined as the depth of flow where energy is at a minimum for a particular discharge.ⓘ Critical Depth of Weir [h_c]			+10% -10%
✖Velocity of Fluid for Weir is the volume of fluid flowing in the given vessel per unit cross sectional area.ⓘ Velocity of Fluid for Weir [v_f]			+10% -10%
✖The Acceleration due to Gravity is acceleration gained by an object because of gravitational force.ⓘ Acceleration due to Gravity [g]			+10% -10%

✖Total Head is the combination of weir crested and additional head.ⓘ Total Head above Weir Crest [H]

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Formula

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Total Head above Weir Crest

Formula

`"H" = "h"_{"c"}+("v"_{"f"}^2/(2*"g"))`

Example

`"4.95202m"="1.001m"+(("8.8m/s")^2/(2*"9.8m/s²"))`

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Download Broad Crested Weir Formulas PDF

Total Head above Weir Crest Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Head = Critical Depth of Weir+(Velocity of Fluid for Weir^2/(2*Acceleration due to Gravity))
H = h_c+(v_f^2/(2*g))
This formula uses 4 Variables

Variables Used

Total Head - (Measured in Meter) - Total Head is the combination of weir crested and additional head.
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.
Velocity of Fluid for Weir - (Measured in Meter per Second) - Velocity of Fluid for Weir is the volume of fluid flowing in the given vessel per unit cross sectional area.
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.

STEP 1: Convert Input(s) to Base Unit

Critical Depth of Weir: 1.001 Meter --> 1.001 Meter No Conversion Required
Velocity of Fluid for Weir: 8.8 Meter per Second --> 8.8 Meter per Second No Conversion Required
Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H = h_c+(v_f^2/(2*g)) --> 1.001+(8.8^2/(2*9.8))

Evaluating ... ...

H = 4.95202040816327

STEP 3: Convert Result to Output's Unit

4.95202040816327 Meter --> No Conversion Required

FINAL ANSWER

4.95202040816327 ≈ 4.95202 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 » Total Head above Weir Crest

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Created by M Naveen

National Institute of Technology (NIT), Warangal

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Verified by Rithik Agrawal

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

Total Head above Weir Crest Formula

Total Head = Critical Depth of Weir+(Velocity of Fluid for Weir^2/(2*Acceleration due to Gravity))
H = h_c+(v_f^2/(2*g))

What is meant by Total Head?

Total Head above weir crest is defined as the combination of the crested weir head and additional head.

What is meant by Acceleration due to Gravity?

Acceleration due to gravity is defined as the acceleration of a body in free fall under the influence of earth's gravity expressed as the rate of increase of velocity per second.

How to Calculate Total Head above Weir Crest?

Total Head above Weir Crest calculator uses Total Head = Critical Depth of Weir+(Velocity of Fluid for Weir^2/(2*Acceleration due to Gravity)) to calculate the Total Head, Total Head above Weir Crest is defined as the vertical distance between the water level upstream of the weir and the crest of the weir. Total Head is denoted by H symbol.

How to calculate Total Head above Weir Crest using this online calculator? To use this online calculator for Total Head above Weir Crest, enter Critical Depth of Weir (h_c), Velocity of Fluid for Weir (v_f) & Acceleration due to Gravity (g) and hit the calculate button. Here is how the Total Head above Weir Crest calculation can be explained with given input values -> 4.95202 = 1.001+(8.8^2/(2*9.8)).

FAQ

What is Total Head above Weir Crest?

Total Head above Weir Crest is defined as the vertical distance between the water level upstream of the weir and the crest of the weir and is represented as H = h_c+(v_f^2/(2*g)) or Total Head = Critical Depth of Weir+(Velocity of Fluid for Weir^2/(2*Acceleration due to Gravity)). The Critical Depth of Weir is defined as the depth of flow where energy is at a minimum for a particular discharge, Velocity of Fluid for Weir is the volume of fluid flowing in the given vessel per unit cross sectional area & The Acceleration due to Gravity is acceleration gained by an object because of gravitational force.

How to calculate Total Head above Weir Crest?

Total Head above Weir Crest is defined as the vertical distance between the water level upstream of the weir and the crest of the weir is calculated using Total Head = Critical Depth of Weir+(Velocity of Fluid for Weir^2/(2*Acceleration due to Gravity)). To calculate Total Head above Weir Crest, you need Critical Depth of Weir (h_c), Velocity of Fluid for Weir (v_f) & Acceleration due to Gravity (g). With our tool, you need to enter the respective value for Critical Depth of Weir, Velocity of Fluid for Weir & Acceleration due to Gravity 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 Critical Depth of Weir, Velocity of Fluid for Weir & Acceleration due to Gravity. We can use 4 other way(s) to calculate the same, which is/are as follows -

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

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