Total Head for Maximum Discharge 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%
✖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%

✖Total Head is the combination of weir crested and additional head.ⓘ Total Head for Maximum Discharge [H]

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Total Head for Maximum Discharge 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 - 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.

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 » Total Head for Maximum Discharge

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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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< 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 Maximum Discharge Formula

LaTeX Go

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 Total Head mean?

Total Head for Max Discharge is defined as the combination of crested weir head and the additional head.

How to Calculate Total Head for Maximum Discharge?

Total Head for Maximum Discharge 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, Total Head for Maximum Discharge is defined as the combination of crested weir head and the additional head of maximum discharge. Total Head is denoted by H symbol.

How to calculate Total Head for Maximum Discharge using this online calculator? To use this online calculator for Total Head for Maximum Discharge, 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 Total Head for Maximum Discharge calculation can be explained with given input values -> 4.046606 = (37.6/(1.70*0.66*3))^(2/3).

FAQ

What is Total Head for Maximum Discharge?

Total Head for Maximum Discharge is defined as the combination of crested weir head and the additional head of maximum discharge 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, 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.

How to calculate Total Head for Maximum Discharge?

Total Head for Maximum Discharge is defined as the combination of crested weir head and the additional head of maximum discharge is calculated using Total Head = (Max Discharge Over Broad Crested Weir/(1.70*Coefficient of Discharge*Length of Weir Crest))^(2/3). To calculate Total Head for Maximum Discharge, 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 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 = (((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

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