Head 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%
✖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.ⓘ Head given Discharge for Cipolletti Weir [S_w]

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Head given Discharge for Cipolletti Weir Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.

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
Length of Weir Crest: 3 Meter --> 3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

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

Evaluating ... ...

S_w = 1.87467589333043

STEP 3: Convert Result to Output's Unit

1.87467589333043 Meter --> No Conversion Required

FINAL ANSWER

1.87467589333043 ≈ 1.874676 Meter <-- Height of Water above Crest of Weir

(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

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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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< 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)

Head given Discharge for Cipolletti Weir Formula

LaTeX Go

What is Coefficient of Discharge?

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

What is Cipoletti 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?

Head given Discharge for Cipolletti Weir calculator uses 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) to calculate the Height of Water above Crest of Weir, Head given discharge for Cipolletti weir is specific measurement of liquid pressure above vertical datum. Height of Water above Crest of Weir is denoted by S_w symbol.

How to calculate Head given Discharge for Cipolletti Weir using this online calculator? To use this online calculator for Head given Discharge for Cipolletti Weir, enter Discharge by Cipolletti (Q_C), Coefficient of Discharge (C_d), Acceleration due to Gravity (g) & Length of Weir Crest (L_w) and hit the calculate button. Here is how the Head given Discharge for Cipolletti Weir calculation can be explained with given input values -> 1.874676 = ((3*15)/(2*0.66*sqrt(2*9.8)*3))^(2/3).

FAQ

What is Head given Discharge for Cipolletti Weir?

Head given discharge for Cipolletti weir is specific measurement of liquid pressure above vertical datum and is represented as S_w = ((3*Q_C)/(2*C_d*sqrt(2*g)*L_w))^(2/3) or 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). 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 & Length of Weir Crest is the measurement or extent of Weir Crest from end to end.

How to calculate Head given Discharge for Cipolletti Weir?

Head given discharge for Cipolletti weir is specific measurement of liquid pressure above vertical datum is calculated using 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). To calculate Head given Discharge for Cipolletti Weir, you need Discharge by Cipolletti (Q_C), Coefficient of Discharge (C_d), Acceleration due to Gravity (g) & Length of Weir Crest (L_w). With our tool, you need to enter the respective value for Discharge by Cipolletti, Coefficient of Discharge, Acceleration due to Gravity & Length of Weir Crest 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 Height of Water above Crest of Weir?

In this formula, Height of Water above Crest of Weir uses Discharge by Cipolletti, Coefficient of Discharge, Acceleration due to Gravity & Length of Weir Crest. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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