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)
QC = (2/3)*Cd*sqrt(2*g)*Lw*Sw^(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 - 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
QC = (2/3)*Cd*sqrt(2*g)*Lw*Sw^(3/2) --> (2/3)*0.66*sqrt(2*9.8)*3*2^(3/2)
Evaluating ... ...
QC = 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 00.004 seconds)

Credits

Created by M Naveen
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)

Discharge for Cipolletti Weir Formula

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)
QC = (2/3)*Cd*sqrt(2*g)*Lw*Sw^(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 QC 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 (Cd), Acceleration due to Gravity (g), Length of Weir Crest (Lw) & Height of Water above Crest of Weir (Sw) 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 QC = (2/3)*Cd*sqrt(2*g)*Lw*Sw^(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). 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 (Cd), Acceleration due to Gravity (g), Length of Weir Crest (Lw) & Height of Water above Crest of Weir (Sw). 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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