Total Head above Weir Crest Solution

STEP 0: Pre-Calculation Summary
Formula Used
Total Head = Critical Depth of Weir+(Velocity of Fluid for Weir^2/(2*Acceleration due to Gravity))
H = hc+(vf^2/(2*g))
This formula uses 4 Variables
Variables Used
Total Head - (Measured in Meter) - Total Head is the combination of weir crested and additional head.
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.
Velocity of Fluid for Weir - (Measured in Meter per Second) - Velocity of Fluid for Weir is the volume of fluid flowing in the given vessel per unit cross sectional area.
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
Critical Depth of Weir: 1.001 Meter --> 1.001 Meter No Conversion Required
Velocity of Fluid for Weir: 8.8 Meter per Second --> 8.8 Meter per Second 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 = hc+(vf^2/(2*g)) --> 1.001+(8.8^2/(2*9.8))
Evaluating ... ...
H = 4.95202040816327
STEP 3: Convert Result to Output's Unit
4.95202040816327 Meter --> No Conversion Required
FINAL ANSWER
4.95202040816327 4.95202 Meter <-- Total Head
(Calculation completed in 00.004 seconds)

Credits

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Created by M Naveen
National Institute of Technology (NIT), Warangal
M Naveen has created this Calculator and 500+ more calculators!
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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 above Weir Crest Formula

​LaTeX ​Go
Total Head = Critical Depth of Weir+(Velocity of Fluid for Weir^2/(2*Acceleration due to Gravity))
H = hc+(vf^2/(2*g))

What is meant by Total Head?

Total Head above weir crest is defined as the combination of the crested weir head and additional head.

What is meant by Acceleration due to Gravity?

Acceleration due to gravity is defined as the acceleration of a body in free fall under the influence of earth's gravity expressed as the rate of increase of velocity per second.

How to Calculate Total Head above Weir Crest?

Total Head above Weir Crest calculator uses Total Head = Critical Depth of Weir+(Velocity of Fluid for Weir^2/(2*Acceleration due to Gravity)) to calculate the Total Head, Total Head above Weir Crest is defined as the vertical distance between the water level upstream of the weir and the crest of the weir. Total Head is denoted by H symbol.

How to calculate Total Head above Weir Crest using this online calculator? To use this online calculator for Total Head above Weir Crest, enter Critical Depth of Weir (hc), Velocity of Fluid for Weir (vf) & Acceleration due to Gravity (g) and hit the calculate button. Here is how the Total Head above Weir Crest calculation can be explained with given input values -> 4.95202 = 1.001+(8.8^2/(2*9.8)).

FAQ

What is Total Head above Weir Crest?
Total Head above Weir Crest is defined as the vertical distance between the water level upstream of the weir and the crest of the weir and is represented as H = hc+(vf^2/(2*g)) or Total Head = Critical Depth of Weir+(Velocity of Fluid for Weir^2/(2*Acceleration due to Gravity)). The Critical Depth of Weir is defined as the depth of flow where energy is at a minimum for a particular discharge, Velocity of Fluid for Weir is the volume of fluid flowing in the given vessel per unit cross sectional area & The Acceleration due to Gravity is acceleration gained by an object because of gravitational force.
How to calculate Total Head above Weir Crest?
Total Head above Weir Crest is defined as the vertical distance between the water level upstream of the weir and the crest of the weir is calculated using Total Head = Critical Depth of Weir+(Velocity of Fluid for Weir^2/(2*Acceleration due to Gravity)). To calculate Total Head above Weir Crest, you need Critical Depth of Weir (hc), Velocity of Fluid for Weir (vf) & Acceleration due to Gravity (g). With our tool, you need to enter the respective value for Critical Depth of Weir, Velocity of Fluid for 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 Critical Depth of Weir, Velocity of Fluid for Weir & Acceleration due to Gravity. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • 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
  • Total Head = (Max Discharge Over Broad Crested Weir/(1.70*Coefficient of Discharge*Length of Weir Crest))^(2/3)
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