Total Head for Actual Discharge over Broad Crested Weir Calculator

✖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.ⓘ Actual Discharge over Broad Crested Weir [Q_a]			+10% -10%
✖The 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%
✖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%
✖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 for Actual Discharge over Broad Crested Weir [H]

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Total Head for Actual Discharge over Broad Crested Weir Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
H = (((Q_a/(C_d*L_w*h_c))^2)*(1/(2*g)))+h_c
This formula uses 6 Variables

Variables Used

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

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
Length of Weir Crest: 3 Meter --> 3 Meter 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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H = (((Q_a/(C_d*L_w*h_c))^2)*(1/(2*g)))+h_c --> (((17.54/(0.66*3*1.001))^2)*(1/(2*9.8)))+1.001

Evaluating ... ...

H = 4.99680762434865

STEP 3: Convert Result to Output's Unit

4.99680762434865 Meter --> No Conversion Required

FINAL ANSWER

4.99680762434865 ≈ 4.996808 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 for Actual 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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< 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))

Total Head for Actual Discharge over Broad Crested Weir Formula

LaTeX Go

What is meant by Total Head?

Total Head for Actual Discharge over Broad Crested Weir is defined as the combination of crested weir head and the additional head.

How to Calculate Total Head for Actual Discharge over Broad Crested Weir?

Total Head for Actual Discharge over Broad Crested Weir calculator uses 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 to calculate the Total Head, Total Head for Actual Discharge over Broad Crested Weir is defined as the vertical distance between the water level upstream of the weir and the crest of the weir, taking into account factors such as approach velocity, velocity of contraction, and weir crest shape. Total Head is denoted by H symbol.

How to calculate Total Head for Actual Discharge over Broad Crested Weir using this online calculator? To use this online calculator for Total Head for Actual Discharge over Broad Crested Weir, enter Actual Discharge over Broad Crested Weir (Q_a), Coefficient of Discharge (C_d), Length of Weir Crest (L_w), Critical Depth of Weir (h_c) & Acceleration due to Gravity (g) and hit the calculate button. Here is how the Total Head for Actual Discharge over Broad Crested Weir calculation can be explained with given input values -> 3.09585 = (((17.54/(0.66*3*1.001))^2)*(1/(2*9.8)))+1.001.

FAQ

What is Total Head for Actual Discharge over Broad Crested Weir?

Total Head for Actual Discharge over Broad Crested Weir is defined as the vertical distance between the water level upstream of the weir and the crest of the weir, taking into account factors such as approach velocity, velocity of contraction, and weir crest shape and is represented as H = (((Q_a/(C_d*L_w*h_c))^2)*(1/(2*g)))+h_c or 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. 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, The 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, 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.

How to calculate Total Head for Actual Discharge over Broad Crested Weir?

Total Head for Actual Discharge over Broad Crested Weir is defined as the vertical distance between the water level upstream of the weir and the crest of the weir, taking into account factors such as approach velocity, velocity of contraction, and weir crest shape is calculated using 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. To calculate Total Head for Actual Discharge over Broad Crested Weir, you need Actual Discharge over Broad Crested Weir (Q_a), Coefficient of Discharge (C_d), Length of Weir Crest (L_w), Critical Depth of Weir (h_c) & Acceleration due to Gravity (g). With our tool, you need to enter the respective value for Actual Discharge over Broad Crested Weir, Coefficient of Discharge, Length of Weir Crest, Critical Depth of 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 Actual Discharge over Broad Crested Weir, Coefficient of Discharge, Length of Weir Crest, Critical Depth of Weir & Acceleration due to Gravity. 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 = ((Discharge Over Broad Crested Weir/(Length of Weir Crest*Critical Depth of Weir))^2)*(1/(2*[g]))+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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