Length of Crest given Discharge for Cipolletti Weir Calculator

✖Discharge by Cipolletti is the rate of flow of a liquid.ⓘ Discharge by Cipolletti [Q_C]			+10% -10%
✖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%
✖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%

✖Length of Weir Crest is the measurement or extent of Weir Crest from end to end.ⓘ Length of Crest given Discharge for Cipolletti Weir [L_w]

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Length of Crest given Discharge for Cipolletti Weir Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.
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

Discharge by Cipolletti: 15 Cubic Meter per Second --> 15 Cubic Meter per Second No Conversion Required
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
Height of Water above Crest of Weir: 2 Meter --> 2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_w = (3*Q_C)/(2*C_d*sqrt(2*g)*S_w^(3/2)) --> (3*15)/(2*0.66*sqrt(2*9.8)*2^(3/2))

Evaluating ... ...

L_w = 2.72248536221565

STEP 3: Convert Result to Output's Unit

2.72248536221565 Meter --> No Conversion Required

FINAL ANSWER

2.72248536221565 ≈ 2.722485 Meter <-- Length of Weir Crest

(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 » Length of Crest given 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)

Length of Crest given Discharge for Cipolletti Weir Formula

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))
L_w = (3*Q_C)/(2*C_d*sqrt(2*g)*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 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 given Discharge for Cipolletti Weir?

Length of Crest given Discharge for Cipolletti Weir calculator uses 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)) to calculate the Length of Weir Crest, Length of crest given discharge for Cipolletti weir as it applies to area of reclamation can be defined as distance, measured along axis. Length of Weir Crest is denoted by L_w symbol.

How to calculate Length of Crest given Discharge for Cipolletti Weir using this online calculator? To use this online calculator for Length of Crest given Discharge for Cipolletti Weir, enter Discharge by Cipolletti (Q_C), Coefficient of Discharge (C_d), Acceleration due to Gravity (g) & Height of Water above Crest of Weir (S_w) and hit the calculate button. Here is how the Length of Crest given Discharge for Cipolletti Weir calculation can be explained with given input values -> 2.722485 = (3*15)/(2*0.66*sqrt(2*9.8)*2^(3/2)).

FAQ

What is Length of Crest given Discharge for Cipolletti Weir?

Length of crest given discharge for Cipolletti weir as it applies to area of reclamation can be defined as distance, measured along axis and is represented as L_w = (3*Q_C)/(2*C_d*sqrt(2*g)*S_w^(3/2)) or 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 by Cipolletti is the rate of flow of a liquid, 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 & Height of Water above Crest of Weir is defined as the water surface height above crest.

How to calculate Length of Crest given Discharge for Cipolletti Weir?

Length of crest given discharge for Cipolletti weir as it applies to area of reclamation can be defined as distance, measured along axis is calculated using 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)). To calculate Length of Crest given Discharge for Cipolletti Weir, you need Discharge by Cipolletti (Q_C), Coefficient of Discharge (C_d), Acceleration due to Gravity (g) & Height of Water above Crest of Weir (S_w). With our tool, you need to enter the respective value for Discharge by Cipolletti, Coefficient of Discharge, Acceleration due to Gravity & 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 Length of Weir Crest?

In this formula, Length of Weir Crest uses Discharge by Cipolletti, Coefficient of Discharge, Acceleration due to Gravity & Height of Water above Crest of Weir. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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