Discharge over Weir without considering Velocity 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%
✖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%

✖Francis Discharge with Suppressed End is discharge of flow without the end contraction.ⓘ Discharge over Weir without considering Velocity [Q_Fr']

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Formula

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Discharge over Weir without considering Velocity

Formula

`"Q"_{"Fr'"} = (2/3)*"C"_{"d"}*sqrt(2*"g")*"L"_{"w"}*"S"_{"w"}^(3/2)`

Example

`"16.52901m³/s"= (2/3)*"0.66"*sqrt(2*"9.8m/s²")*"3m"*("2m")^(3/2)`

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Download Flow Over Rectangular Sharp-Crested Weir or Notch Formulas PDF

Discharge over Weir without considering Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Francis Discharge with Suppressed End = (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_Fr' = (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

Francis Discharge with Suppressed End - (Measured in Cubic Meter per Second) - Francis Discharge with Suppressed End is discharge of flow without the end contraction.
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

Q_Fr' = (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_Fr' = 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 <-- Francis Discharge with Suppressed End

(Calculation completed in 00.004 seconds)

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Created by M Naveen

National Institute of Technology (NIT), Warangal

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NSS College of Engineering (NSSCE), Palakkad

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< 7 Discharge Calculators

Discharge considering Approach Velocity

Go Francis Discharge = (2/3)*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*(Length of Weir Crest-0.1*Number of End Contraction*Still Water Head)*(Still Water Head^(3/2)-Velocity Head^(3/2))

Discharge Passing over Weir considering Velocity

Go Francis Discharge with Suppressed End = (2/3)*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*Length of Weir Crest*((Height of Water above Crest of Weir+Velocity Head)^(3/2)-Velocity Head^(3/2))

Discharge over Weir without considering Velocity

Go Francis Discharge with Suppressed End = (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 Notch which is to be Calibrated

Go Francis Discharge with Suppressed End = Constant of Flow*Height of Water above Crest of Weir^Number of End Contraction

Discharge when End Contractions is suppressed and Velocity is considered

Go Francis Discharge with Suppressed End = 1.84*Length of Weir Crest*(Still Water Head^(3/2)-Velocity Head^(3/2))

Discharge given Velocity Approach

Go Discharge by Approach Velocity = Velocity of Flow 1*(Width of Channel1*Depth of Flow)

Discharge when End Contractions is suppressed and Velocity is not considered

Go Francis Discharge with Suppressed End = 1.84*Length of Weir Crest*Height of Water above Crest of Weir^(3/2)

Discharge over Weir without considering Velocity 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 Weir without considering Velocity?

Discharge over Weir without considering Velocity calculator uses Francis Discharge with Suppressed End = (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 Francis Discharge with Suppressed End, Discharge over Weir without considering Velocity is a measure of the quantity of any fluid flow over unit time. The quantity may be either volume or mass. Francis Discharge with Suppressed End is denoted by Q_Fr' symbol.

How to calculate Discharge over Weir without considering Velocity using this online calculator? To use this online calculator for Discharge over Weir without considering Velocity, 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 over Weir without considering Velocity 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 over Weir without considering Velocity?

Discharge over Weir without considering Velocity 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_Fr' = (2/3)*C_d*sqrt(2*g)*L_w*S_w^(3/2) or Francis Discharge with Suppressed End = (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 over Weir without considering Velocity?

Discharge over Weir without considering Velocity is a measure of the quantity of any fluid flow over unit time. The quantity may be either volume or mass is calculated using Francis Discharge with Suppressed End = (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 over Weir without considering Velocity, 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 Francis Discharge with Suppressed End?

In this formula, Francis Discharge with Suppressed End uses Coefficient of Discharge, Acceleration due to Gravity, Length of Weir Crest & Height of Water above Crest of Weir. We can use 4 other way(s) to calculate the same, which is/are as follows -

Francis Discharge with Suppressed End = (2/3)*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*Length of Weir Crest*((Height of Water above Crest of Weir+Velocity Head)^(3/2)-Velocity Head^(3/2))
Francis Discharge with Suppressed End = Constant of Flow*Height of Water above Crest of Weir^Number of End Contraction
Francis Discharge with Suppressed End = 1.84*Length of Weir Crest*Height of Water above Crest of Weir^(3/2)
Francis Discharge with Suppressed End = 1.84*Length of Weir Crest*(Still Water Head^(3/2)-Velocity Head^(3/2))

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