Discharge for Cipolletti Weir if Velocity is Considered Calculator

✖Length of Weir Crest is the measurement or extent of Weir Crest from end to end.ⓘ Length of Weir Crest [L_w]			+10% -10%
✖Still Water Head is the head of water which is still over weir.ⓘ Still Water Head [H_Stillwater]			+10% -10%
✖Velocity Head is represented in the term of length unit, also referred to as kinetic head represents the kinetic energy of the fluid.ⓘ Velocity Head [H_V]			+10% -10%

✖Discharge by Cipolletti is the rate of flow of a liquid.ⓘ Discharge for Cipolletti Weir if Velocity is Considered [Q_C]

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Formula

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Discharge for Cipolletti Weir if Velocity is Considered

Formula

`"Q"_{"C"} = 1.86*"L"_{"w"}*("H"_{"Stillwater"}^(3/2)-"H"_{"V"}^(3/2))`

Example

`"39.56112m³/s"=1.86*"3m"*(("6.6m")^(3/2)-("4.6m")^(3/2))`

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Discharge for Cipolletti Weir if Velocity is Considered Solution

STEP 0: Pre-Calculation Summary

Formula Used

Discharge by Cipolletti = 1.86*Length of Weir Crest*(Still Water Head^(3/2)-Velocity Head^(3/2))
Q_C = 1.86*L_w*(H_Stillwater^(3/2)-H_V^(3/2))
This formula uses 4 Variables

Variables Used

Discharge by Cipolletti - (Measured in Cubic Meter per Second) - Discharge by Cipolletti is the rate of flow of a liquid.
Length of Weir Crest - (Measured in Meter) - Length of Weir Crest is the measurement or extent of Weir Crest from end to end.
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

Length of Weir Crest: 3 Meter --> 3 Meter 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

Q_C = 1.86*L_w*(H_Stillwater^(3/2)-H_V^(3/2)) --> 1.86*3*(6.6^(3/2)-4.6^(3/2))

Evaluating ... ...

Q_C = 39.5611182202174

STEP 3: Convert Result to Output's Unit

39.5611182202174 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

39.5611182202174 ≈ 39.56112 Cubic Meter per Second <-- Discharge by Cipolletti

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Hydraulics and Waterworks » Flow Over Notches and Weirs » Flow Over a Trapizoidal and Triangular Weir or Notch » Flow Over a Trapizoidal Weir or Notch » Discharge for Cipolletti Weir if Velocity is Considered

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Created by M Naveen

National Institute of Technology (NIT), Warangal

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Verified by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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< 12 Flow Over a Trapizoidal Weir or Notch Calculators

Discharge over Trapezoidal Notch if overall Coefficient of Discharge for Trapezoidal notch

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)))

Head given Discharge for Cipolletti Weir

Go Height of Water above Crest of Weir = ((3*Discharge by Cipolletti)/(2*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*Length of Weir Crest))^(2/3)

Coefficient of Discharge given Discharge for Cipolletti Weir

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

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

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)

Additional Head given Discharge for Cipolletti Weir Considering Velocity

Go Velocity Head = (Still Water Head^(3/2)-(Discharge by Cipolletti/(1.86*Length of Weir Crest)))^(2/3)

Head given Discharge for Cipolletti Weir using Velocity

Go Still Water Head = ((Discharge by Cipolletti/(1.86*Length of Weir Crest))+Velocity Head^(3/2))^(2/3)

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

Go Length of Weir Crest = Discharge by Cipolletti/(1.86*(Still Water Head^(3/2)-Velocity Head^(3/2)))

Discharge for Cipolletti Weir if Velocity is Considered

Go Discharge by Cipolletti = 1.86*Length of Weir Crest*(Still Water Head^(3/2)-Velocity Head^(3/2))

Head given Discharge over Cipolletti Weir

Go Height of Water above Crest of Weir = (Discharge by Cipolletti/(1.86*Length of Weir Crest))^(2/3)

Length of Crest given Discharge over Cipolletti Weir by Francis, Cipolletti

Go Length of Weir Crest = Discharge by Cipolletti/(1.86*Height of Water above Crest of Weir^(3/2))

Discharge over Cipolletti Weir by Francis Cipolletti

Go Discharge by Cipolletti = 1.86*Length of Weir Crest*Height of Water above Crest of Weir^(3/2)

Discharge for Cipolletti Weir if Velocity is Considered Formula

Discharge by Cipolletti = 1.86*Length of Weir Crest*(Still Water Head^(3/2)-Velocity Head^(3/2))
Q_C = 1.86*L_w*(H_Stillwater^(3/2)-H_V^(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 Cipolletti 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 Discharge for Cipolletti Weir if Velocity is Considered?

Discharge for Cipolletti Weir if Velocity is Considered calculator uses Discharge by Cipolletti = 1.86*Length of Weir Crest*(Still Water Head^(3/2)-Velocity Head^(3/2)) to calculate the Discharge by Cipolletti, The Discharge for Cipolletti weir if velocity is considered is a measure of the quantity of any fluid flow over unit time. The quantity may be either volume or mass. Discharge by Cipolletti is denoted by Q_C symbol.

How to calculate Discharge for Cipolletti Weir if Velocity is Considered using this online calculator? To use this online calculator for Discharge for Cipolletti Weir if Velocity is Considered, enter Length of Weir Crest (L_w), Still Water Head (H_Stillwater) & Velocity Head (H_V) and hit the calculate button. Here is how the Discharge for Cipolletti Weir if Velocity is Considered calculation can be explained with given input values -> 39.56112 = 1.86*3*(6.6^(3/2)-4.6^(3/2)).

FAQ

What is Discharge for Cipolletti Weir if Velocity is Considered?

The Discharge for Cipolletti weir if velocity is considered is a measure of the quantity of any fluid flow over unit time. The quantity may be either volume or mass and is represented as Q_C = 1.86*L_w*(H_Stillwater^(3/2)-H_V^(3/2)) or Discharge by Cipolletti = 1.86*Length of Weir Crest*(Still Water Head^(3/2)-Velocity Head^(3/2)). Length of Weir Crest is the measurement or extent of Weir Crest from end to end, 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 Discharge for Cipolletti Weir if Velocity is Considered?

The Discharge for Cipolletti weir if velocity is considered is a measure of the quantity of any fluid flow over unit time. The quantity may be either volume or mass is calculated using Discharge by Cipolletti = 1.86*Length of Weir Crest*(Still Water Head^(3/2)-Velocity Head^(3/2)). To calculate Discharge for Cipolletti Weir if Velocity is Considered, you need Length of Weir Crest (L_w), Still Water Head (H_Stillwater) & Velocity Head (H_V). With our tool, you need to enter the respective value for Length of Weir Crest, 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 Discharge by Cipolletti?

In this formula, Discharge by Cipolletti uses Length of Weir Crest, Still Water Head & Velocity Head. We can use 3 other way(s) to calculate the same, which is/are as follows -

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)))
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)
Discharge by Cipolletti = 1.86*Length of Weir Crest*Height of Water above Crest of Weir^(3/2)

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