Length of Crest when Discharge for Cipolletti Weir and Velocity is Considered Solution

STEP 0: Pre-Calculation Summary
Formula Used
Length of Weir Crest = Discharge by Cipolletti/(1.86*(Still Water Head^(3/2)-Velocity Head^(3/2)))
Lw = QC/(1.86*(HStillwater^(3/2)-HV^(3/2)))
This formula uses 4 Variables
Variables Used
Length of Weir Crest - (Measured in Meter) - Length of Weir Crest is the measurement or extent of Weir Crest from end to end.
Discharge by Cipolletti - (Measured in Cubic Meter per Second) - Discharge by Cipolletti is the rate of flow of a liquid.
Still Water Head - (Measured in Meter) - Still Water Head is the head of water which is still over weir.
Velocity Head - (Measured in Meter) - Velocity Head is represented in the term of length unit, also referred to as kinetic head represents the kinetic energy of the fluid.
STEP 1: Convert Input(s) to Base Unit
Discharge by Cipolletti: 15 Cubic Meter per Second --> 15 Cubic Meter per Second No Conversion Required
Still Water Head: 6.6 Meter --> 6.6 Meter No Conversion Required
Velocity Head: 4.6 Meter --> 4.6 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Lw = QC/(1.86*(HStillwater^(3/2)-HV^(3/2))) --> 15/(1.86*(6.6^(3/2)-4.6^(3/2)))
Evaluating ... ...
Lw = 1.13748048650968
STEP 3: Convert Result to Output's Unit
1.13748048650968 Meter --> No Conversion Required
FINAL ANSWER
1.13748048650968 1.13748 Meter <-- Length of Weir Crest
(Calculation completed in 00.006 seconds)

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Created by M Naveen
National Institute of Technology (NIT), Warangal
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Flow Over a Trapizoidal Weir or Notch Calculators

Discharge over Trapezoidal Notch if overall Coefficient of Discharge for Trapezoidal notch
​ LaTeX ​ Go Discharge by Cipolletti = ((Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*Height of Water above Crest of Weir^(3/2))*((2/3)*Length of Weir Crest+(8/15)*Height of Water above Crest of Weir*tan(Theta/2)))
Coefficient of Discharge given Discharge for Cipolletti Weir
​ LaTeX ​ Go Coefficient of Discharge = (Discharge by Cipolletti*3)/(2*sqrt(2*Acceleration due to Gravity)*Length of Weir Crest*Height of Water above Crest of Weir^(3/2))
Length of Crest given Discharge for Cipolletti Weir
​ LaTeX ​ Go Length of Weir Crest = (3*Discharge by Cipolletti)/(2*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*Height of Water above Crest of Weir^(3/2))
Discharge for Cipolletti Weir
​ LaTeX ​ Go Discharge by Cipolletti = (2/3)*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*Length of Weir Crest*Height of Water above Crest of Weir^(3/2)

Length of Crest when Discharge for Cipolletti Weir and Velocity is Considered Formula

​LaTeX ​Go
Length of Weir Crest = Discharge by Cipolletti/(1.86*(Still Water Head^(3/2)-Velocity Head^(3/2)))
Lw = QC/(1.86*(HStillwater^(3/2)-HV^(3/2)))

What does Head mean?

Hydraulic head is a specific measurement of liquid pressure above a vertical datum.
It is usually measured as a liquid surface elevation.

What is Cipolletti weir?

A standard Cipoletti weir is trapezoidal in shape. The crest and sides of the weir plate are placed far enough from the bottom and sides of the approach channel to produce full contraction. The sides incline outwardly at a slope of 1 horizontal to 4 vertical.

How to Calculate Length of Crest when Discharge for Cipolletti Weir and Velocity is Considered?

Length of Crest when Discharge for Cipolletti Weir and Velocity is Considered calculator uses Length of Weir Crest = Discharge by Cipolletti/(1.86*(Still Water Head^(3/2)-Velocity Head^(3/2))) to calculate the Length of Weir Crest, The Length of crest when discharge for Cipolletti weir and velocity is considered is given as it applies to the area of reclamation can be defined as ' The distance, measured along the axis. Length of Weir Crest is denoted by Lw symbol.

How to calculate Length of Crest when Discharge for Cipolletti Weir and Velocity is Considered using this online calculator? To use this online calculator for Length of Crest when Discharge for Cipolletti Weir and Velocity is Considered, enter Discharge by Cipolletti (QC), Still Water Head (HStillwater) & Velocity Head (HV) and hit the calculate button. Here is how the Length of Crest when Discharge for Cipolletti Weir and Velocity is Considered calculation can be explained with given input values -> 1.13748 = 15/(1.86*(6.6^(3/2)-4.6^(3/2))).

FAQ

What is Length of Crest when Discharge for Cipolletti Weir and Velocity is Considered?
The Length of crest when discharge for Cipolletti weir and velocity is considered is given as it applies to the area of reclamation can be defined as ' The distance, measured along the axis and is represented as Lw = QC/(1.86*(HStillwater^(3/2)-HV^(3/2))) or Length of Weir Crest = Discharge by Cipolletti/(1.86*(Still Water Head^(3/2)-Velocity Head^(3/2))). Discharge by Cipolletti is the rate of flow of a liquid, Still Water Head is the head of water which is still over weir & Velocity Head is represented in the term of length unit, also referred to as kinetic head represents the kinetic energy of the fluid.
How to calculate Length of Crest when Discharge for Cipolletti Weir and Velocity is Considered?
The Length of crest when discharge for Cipolletti weir and velocity is considered is given as it applies to the area of reclamation can be defined as ' The distance, measured along the axis is calculated using Length of Weir Crest = Discharge by Cipolletti/(1.86*(Still Water Head^(3/2)-Velocity Head^(3/2))). To calculate Length of Crest when Discharge for Cipolletti Weir and Velocity is Considered, you need Discharge by Cipolletti (QC), Still Water Head (HStillwater) & Velocity Head (HV). With our tool, you need to enter the respective value for Discharge by Cipolletti, Still Water Head & Velocity Head 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 Length of Weir Crest?
In this formula, Length of Weir Crest uses Discharge by Cipolletti, Still Water Head & Velocity Head. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Length of Weir Crest = (3*Discharge by Cipolletti)/(2*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*Height of Water above Crest of Weir^(3/2))
  • Length of Weir Crest = Discharge by Cipolletti/(1.86*Height of Water above Crest of Weir^(3/2))
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