Discharge for Cipolletti Weir Calculator

✖The Coefficient of Discharge is ratio of actual discharge to theoretical discharge.ⓘ Coefficient of Discharge [C_d]			+10% -10%
✖The Acceleration due to Gravity is acceleration gained by an object because of gravitational force.ⓘ Acceleration due to Gravity [g]			+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%
✖Height of Water above Crest of Weir is defined as the water surface height above crest.ⓘ Height of Water above Crest of Weir [S_w]			+10% -10%

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

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Discharge for Cipolletti Weir Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
Q_C = (2/3)*C_d*sqrt(2*g)*L_w*S_w^(3/2)
This formula uses 1 Functions, 5 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Discharge by Cipolletti - (Measured in Cubic Meter per Second) - Discharge by Cipolletti is the rate of flow of a liquid.
Coefficient of Discharge - The Coefficient of Discharge is ratio of actual discharge to theoretical discharge.
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.
Length of Weir Crest - (Measured in Meter) - Length of Weir Crest is the measurement or extent of Weir Crest from end to end.
Height of Water above Crest of Weir - (Measured in Meter) - Height of Water above Crest of Weir is defined as the water surface height above crest.

STEP 1: Convert Input(s) to Base Unit

Coefficient of Discharge: 0.66 --> No Conversion Required
Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Length of Weir Crest: 3 Meter --> 3 Meter No Conversion Required
Height of Water above Crest of Weir: 2 Meter --> 2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q_C = (2/3)*C_d*sqrt(2*g)*L_w*S_w^(3/2) --> (2/3)*0.66*sqrt(2*9.8)*3*2^(3/2)

Evaluating ... ...

Q_C = 16.5290144896784

STEP 3: Convert Result to Output's Unit

16.5290144896784 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

16.5290144896784 ≈ 16.52901 Cubic Meter per Second <-- Discharge by Cipolletti

(Calculation completed in 00.020 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

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Created by M Naveen

National Institute of Technology (NIT), Warangal

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Coorg Institute of Technology (CIT), Coorg

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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)

Discharge for Cipolletti Weir Formula

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)
Q_C = (2/3)*C_d*sqrt(2*g)*L_w*S_w^(3/2)

What is Coefficient of Discharge?

Discharge Coefficient is the ratio of actual discharge through a nozzle or orifice to the theoretical discharge.

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?

Discharge for Cipolletti Weir calculator uses 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) to calculate the Discharge by Cipolletti, The Discharge for Cipolletti weir 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 using this online calculator? To use this online calculator for Discharge for Cipolletti Weir, enter Coefficient of Discharge (C_d), Acceleration due to Gravity (g), Length of Weir Crest (L_w) & Height of Water above Crest of Weir (S_w) and hit the calculate button. Here is how the Discharge for Cipolletti Weir calculation can be explained with given input values -> 16.52901 = (2/3)*0.66*sqrt(2*9.8)*3*2^(3/2).

FAQ

What is Discharge for Cipolletti Weir?

The Discharge for Cipolletti weir 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 = (2/3)*C_d*sqrt(2*g)*L_w*S_w^(3/2) or 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). The Coefficient of Discharge is ratio of actual discharge to theoretical discharge, The Acceleration due to Gravity is acceleration gained by an object because of gravitational force, Length of Weir Crest is the measurement or extent of Weir Crest from end to end & Height of Water above Crest of Weir is defined as the water surface height above crest.

How to calculate Discharge for Cipolletti Weir?

The Discharge for Cipolletti weir 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 = (2/3)*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*Length of Weir Crest*Height of Water above Crest of Weir^(3/2). To calculate Discharge for Cipolletti Weir, you need Coefficient of Discharge (C_d), Acceleration due to Gravity (g), Length of Weir Crest (L_w) & Height of Water above Crest of Weir (S_w). With our tool, you need to enter the respective value for Coefficient of Discharge, Acceleration due to Gravity, Length of Weir Crest & Height of Water above Crest 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 Discharge by Cipolletti?

In this formula, Discharge by Cipolletti uses Coefficient of Discharge, Acceleration due to Gravity, Length of Weir Crest & Height of Water above Crest of Weir. 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 = 1.86*Length of Weir Crest*Height of Water above Crest of Weir^(3/2)
Discharge by Cipolletti = 1.86*Length of Weir Crest*(Still Water Head^(3/2)-Velocity Head^(3/2))

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