Head given Discharge for Cipolletti Weir using Velocity Calculator

✖Discharge by Cipolletti is the rate of flow of a liquid.ⓘ Discharge by Cipolletti [Q_C]			+10% -10%
✖Length of Weir Crest is the measurement or extent of Weir Crest from end to end.ⓘ Length of Weir Crest [L_w]			+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%

✖Still Water Head is the head of water which is still over weir.ⓘ Head given Discharge for Cipolletti Weir using Velocity [H_Stillwater]

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Formula

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Head given Discharge for Cipolletti Weir using Velocity

Formula

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

Example

`"5.401608m"=(("15m³/s"/(1.86*"3m"))+("4.6m")^(3/2))^(2/3)`

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Head given Discharge for Cipolletti Weir using Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Still Water Head - (Measured in Meter) - Still Water Head is the head of water which is still over weir.
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.
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
Length of Weir Crest: 3 Meter --> 3 Meter No Conversion Required
Velocity Head: 4.6 Meter --> 4.6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H_Stillwater = ((Q_C/(1.86*L_w))+H_V^(3/2))^(2/3) --> ((15/(1.86*3))+4.6^(3/2))^(2/3)

Evaluating ... ...

H_Stillwater = 5.4016084227359

STEP 3: Convert Result to Output's Unit

5.4016084227359 Meter --> No Conversion Required

FINAL ANSWER

5.4016084227359 ≈ 5.401608 Meter <-- Still Water Head

(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 » Head given Discharge for Cipolletti Weir using Velocity

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National Institute of Technology (NIT), Warangal

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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)

Head given Discharge for Cipolletti Weir using Velocity Formula

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

What is meant by Diascharge?

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.

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 Head given Discharge for Cipolletti Weir using Velocity?

Head given Discharge for Cipolletti Weir using Velocity calculator uses Still Water Head = ((Discharge by Cipolletti/(1.86*Length of Weir Crest))+Velocity Head^(3/2))^(2/3) to calculate the Still Water Head, The Head given Discharge for Cipolletti Weir using Velocity is a specific measurement of liquid pressure above a vertical datum. Still Water Head is denoted by H_Stillwater symbol.

How to calculate Head given Discharge for Cipolletti Weir using Velocity using this online calculator? To use this online calculator for Head given Discharge for Cipolletti Weir using Velocity, enter Discharge by Cipolletti (Q_C), Length of Weir Crest (L_w) & Velocity Head (H_V) and hit the calculate button. Here is how the Head given Discharge for Cipolletti Weir using Velocity calculation can be explained with given input values -> 5.401608 = ((15/(1.86*3))+4.6^(3/2))^(2/3).

FAQ

What is Head given Discharge for Cipolletti Weir using Velocity?

The Head given Discharge for Cipolletti Weir using Velocity is a specific measurement of liquid pressure above a vertical datum and is represented as H_Stillwater = ((Q_C/(1.86*L_w))+H_V^(3/2))^(2/3) or Still Water Head = ((Discharge by Cipolletti/(1.86*Length of Weir Crest))+Velocity Head^(3/2))^(2/3). Discharge by Cipolletti is the rate of flow of a liquid, Length of Weir Crest is the measurement or extent of Weir Crest from end to end & 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 Head given Discharge for Cipolletti Weir using Velocity?

The Head given Discharge for Cipolletti Weir using Velocity is a specific measurement of liquid pressure above a vertical datum is calculated using Still Water Head = ((Discharge by Cipolletti/(1.86*Length of Weir Crest))+Velocity Head^(3/2))^(2/3). To calculate Head given Discharge for Cipolletti Weir using Velocity, you need Discharge by Cipolletti (Q_C), Length of Weir Crest (L_w) & Velocity Head (H_V). With our tool, you need to enter the respective value for Discharge by Cipolletti, Length of Weir Crest & Velocity Head and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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