Discharge over Trapezoidal Notch if overall Coefficient of Discharge for Trapezoidal notch Calculator

✖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 Weir Crest [L_w]			+10% -10%
✖Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.ⓘ Theta [θ]			+10% -10%

✖Discharge by Cipolletti is the rate of flow of a liquid.ⓘ Discharge over Trapezoidal Notch if overall Coefficient of Discharge for Trapezoidal notch [Q_C]

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Formula

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Discharge over Trapezoidal Notch if overall Coefficient of Discharge for Trapezoidal notch

Formula

`"Q"_{"C"} = (("C"_{"d"}*sqrt(2*"g")*"S"_{"w"}^(3/2))*((2/3)*"L"_{"w"}+(8/15)*"S"_{"w"}*tan("θ"/2)))`

Example

`"18.89111m³/s"=(("0.66"*sqrt(2*"9.8m/s²")*("2m")^(3/2))*((2/3)*"3m"+(8/15)*"2m"*tan("30°"/2)))`

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Discharge over Trapezoidal Notch if overall Coefficient of Discharge for Trapezoidal notch Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)))
Q_C = ((C_d*sqrt(2*g)*S_w^(3/2))*((2/3)*L_w+(8/15)*S_w*tan(θ/2)))
This formula uses 2 Functions, 6 Variables

Functions Used

tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)
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.
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.
Length of Weir Crest - (Measured in Meter) - Length of Weir Crest is the measurement or extent of Weir Crest from end to end.
Theta - (Measured in Radian) - Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.

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
Height of Water above Crest of Weir: 2 Meter --> 2 Meter No Conversion Required
Length of Weir Crest: 3 Meter --> 3 Meter No Conversion Required
Theta: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q_C = ((C_d*sqrt(2*g)*S_w^(3/2))*((2/3)*L_w+(8/15)*S_w*tan(θ/2))) --> ((0.66*sqrt(2*9.8)*2^(3/2))*((2/3)*3+(8/15)*2*tan(0.5235987755982/2)))

Evaluating ... ...

Q_C = 18.8911137345802

STEP 3: Convert Result to Output's Unit

18.8911137345802 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

18.8911137345802 ≈ 18.89111 Cubic Meter per Second <-- Discharge by Cipolletti

(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 » Discharge over Trapezoidal Notch if overall Coefficient of Discharge for Trapezoidal notch

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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 over Trapezoidal Notch if overall Coefficient of Discharge for Trapezoidal notch Formula

What is Coefficient of Discharge?

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

How to Calculate Discharge over Trapezoidal Notch if overall Coefficient of Discharge for Trapezoidal notch?

Discharge over Trapezoidal Notch if overall Coefficient of Discharge for Trapezoidal notch calculator uses 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))) to calculate the Discharge by Cipolletti, The Discharge over Trapezoidal Notch if overall Coefficient of Discharge for Trapezoidal notch is a measure of the quantity of any fluid flow passing over unit time. The quantity may be either volume or mass. Discharge by Cipolletti is denoted by Q_C symbol.

How to calculate Discharge over Trapezoidal Notch if overall Coefficient of Discharge for Trapezoidal notch using this online calculator? To use this online calculator for Discharge over Trapezoidal Notch if overall Coefficient of Discharge for Trapezoidal notch, enter Coefficient of Discharge (C_d), Acceleration due to Gravity (g), Height of Water above Crest of Weir (S_w), Length of Weir Crest (L_w) & Theta (θ) and hit the calculate button. Here is how the Discharge over Trapezoidal Notch if overall Coefficient of Discharge for Trapezoidal notch calculation can be explained with given input values -> 18.89111 = ((0.66*sqrt(2*9.8)*2^(3/2))*((2/3)*3+(8/15)*2*tan(0.5235987755982/2))).

FAQ

What is Discharge over Trapezoidal Notch if overall Coefficient of Discharge for Trapezoidal notch?

The Discharge over Trapezoidal Notch if overall Coefficient of Discharge for Trapezoidal notch is a measure of the quantity of any fluid flow passing over unit time. The quantity may be either volume or mass and is represented as Q_C = ((C_d*sqrt(2*g)*S_w^(3/2))*((2/3)*L_w+(8/15)*S_w*tan(θ/2))) or 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 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, Length of Weir Crest is the measurement or extent of Weir Crest from end to end & Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.

How to calculate Discharge over Trapezoidal Notch if overall Coefficient of Discharge for Trapezoidal notch?

The Discharge over Trapezoidal Notch if overall Coefficient of Discharge for Trapezoidal notch is a measure of the quantity of any fluid flow passing over unit time. The quantity may be either volume or mass is calculated using 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))). To calculate Discharge over Trapezoidal Notch if overall Coefficient of Discharge for Trapezoidal notch, you need Coefficient of Discharge (C_d), Acceleration due to Gravity (g), Height of Water above Crest of Weir (S_w), Length of Weir Crest (L_w) & Theta (θ). With our tool, you need to enter the respective value for Coefficient of Discharge, Acceleration due to Gravity, Height of Water above Crest of Weir, Length of Weir Crest & Theta 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, Height of Water above Crest of Weir, Length of Weir Crest & Theta. We can use 3 other way(s) to calculate the same, which is/are as follows -

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 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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