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 = (((Qa/(Cd*Lw*hc))^2)*(1/(2*g)))+hc
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 - 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 = (((Qa/(Cd*Lw*hc))^2)*(1/(2*g)))+hc --> (((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)

Credits

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)
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 for Actual Discharge over Broad Crested Weir Formula

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 = (((Qa/(Cd*Lw*hc))^2)*(1/(2*g)))+hc

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 (Qa), Coefficient of Discharge (Cd), Length of Weir Crest (Lw), Critical Depth of Weir (hc) & 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 = (((Qa/(Cd*Lw*hc))^2)*(1/(2*g)))+hc 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, 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 (Qa), Coefficient of Discharge (Cd), Length of Weir Crest (Lw), Critical Depth of Weir (hc) & 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 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 = (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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