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 = ((Qw/(Lw*hc))^2)*(1/(2*[g]))+hc
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 = ((Qw/(Lw*hc))^2)*(1/(2*[g]))+hc --> ((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)

Credits

Created by M Naveen
National Institute of Technology (NIT), Warangal
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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 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 = ((Qw/(Lw*hc))^2)*(1/(2*[g]))+hc

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 (Qw), Length of Weir Crest (Lw) & Critical Depth of Weir (hc) 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 = ((Qw/(Lw*hc))^2)*(1/(2*[g]))+hc 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 (Qw), Length of Weir Crest (Lw) & Critical Depth of Weir (hc). 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 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 = (((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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