Total Head given Discharge over Weir Crest Calculator

✖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.ⓘ Discharge Over Broad Crested Weir [Q_w]			+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%
✖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%

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

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Formula

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Total Head given Discharge over Weir Crest

Formula

H = ({(\frac{Q w}{L w \cdot h c})}^{2}) \cdot (\frac{1}{2 \cdot [g]}) + h c

Example

5.001386 m = ({(\frac{26.6 m³/s}{3 m \cdot 1.001 m})}^{2}) \cdot (\frac{1}{2 \cdot [g]}) + 1.001 m

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Total Head given Discharge over Weir Crest Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Head = ((Discharge Over Broad Crested Weir/(Length of Weir Crest*Critical Depth of Weir))^2)*(1/(2*[g]))+Critical Depth of Weir
H = ((Q_w/(L_w*h_c))^2)*(1/(2*[g]))+h_c
This formula uses 1 Constants, 4 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Variables Used

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

STEP 1: Convert Input(s) to Base Unit

Discharge Over Broad Crested Weir: 26.6 Cubic Meter per Second --> 26.6 Cubic Meter per Second No Conversion Required
Length of Weir Crest: 3 Meter --> 3 Meter No Conversion Required
Critical Depth of Weir: 1.001 Meter --> 1.001 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H = ((Q_w/(L_w*h_c))^2)*(1/(2*[g]))+h_c --> ((26.6/(3*1.001))^2)*(1/(2*[g]))+1.001

Evaluating ... ...

H = 5.00138635831181

STEP 3: Convert Result to Output's Unit

5.00138635831181 Meter --> No Conversion Required

FINAL ANSWER

5.00138635831181 ≈ 5.001386 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 given Discharge over Weir Crest

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Created by M Naveen

National Institute of Technology (NIT), Warangal

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< Broad Crested Weir Calculators

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))

Velocity of Flow given Head

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

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))

Total Head given Discharge over Weir Crest Formula

Total Head = ((Discharge Over Broad Crested Weir/(Length of Weir Crest*Critical Depth of Weir))^2)*(1/(2*[g]))+Critical Depth of Weir
H = ((Q_w/(L_w*h_c))^2)*(1/(2*[g]))+h_c

What is meant by Total Head?

Total Head given Discharge over Weir Crest is defined as the combination of crested weir head and the additional head.

How to Calculate Total Head given Discharge over Weir Crest?

Total Head given Discharge over Weir Crest calculator uses Total Head = ((Discharge Over Broad Crested Weir/(Length of Weir Crest*Critical Depth of Weir))^2)*(1/(2*[g]))+Critical Depth of Weir to calculate the Total Head, Total Head given Discharge over Weir Crest is defined as the combination of crested weir head and the additional head. Total Head is denoted by H symbol.

How to calculate Total Head given Discharge over Weir Crest using this online calculator? To use this online calculator for Total Head given Discharge over Weir Crest, enter Discharge Over Broad Crested Weir (Q_w), Length of Weir Crest (L_w) & Critical Depth of Weir (h_c) and hit the calculate button. Here is how the Total Head given Discharge over Weir Crest calculation can be explained with given input values -> 5.001386 = ((26.6/(3*1.001))^2)*(1/(2*[g]))+1.001.

FAQ

What is Total Head given Discharge over Weir Crest?

Total Head given Discharge over Weir Crest is defined as the combination of crested weir head and the additional head and is represented as H = ((Q_w/(L_w*h_c))^2)*(1/(2*[g]))+h_c or Total Head = ((Discharge Over Broad Crested Weir/(Length of Weir Crest*Critical Depth of Weir))^2)*(1/(2*[g]))+Critical Depth of Weir. 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 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.

How to calculate Total Head given Discharge over Weir Crest?

Total Head given Discharge over Weir Crest is defined as the combination of crested weir head and the additional head is calculated using Total Head = ((Discharge Over Broad Crested Weir/(Length of Weir Crest*Critical Depth of Weir))^2)*(1/(2*[g]))+Critical Depth of Weir. To calculate Total Head given Discharge over Weir Crest, you need Discharge Over Broad Crested Weir (Q_w), Length of Weir Crest (L_w) & Critical Depth of Weir (h_c). With our tool, you need to enter the respective value for Discharge Over Broad Crested Weir, Length of Weir Crest & Critical Depth of Weir 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 Discharge Over Broad Crested Weir, Length of Weir Crest & Critical Depth of Weir. We can use 3 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 = (((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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