Length of Crest when Discharge and Velocity is considered Calculator

✖Francis Discharge with Suppressed End is discharge of flow without the end contraction.ⓘ Francis Discharge with Suppressed End [Q_Fr']			+10% -10%
✖Still Water Head is the head of water which is still over weir.ⓘ Still Water Head [H_Stillwater]			+10% -10%
✖Velocity Head is represented in the term of length unit, also referred to as kinetic head represents the kinetic energy of the fluid.ⓘ Velocity Head [H_V]			+10% -10%

✖Length of Weir Crest is the measurement or extent of Weir Crest from end to end.ⓘ Length of Crest when Discharge and Velocity is considered [L_w]

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Length of Crest when Discharge and Velocity is considered

Formula

`"L"_{"w"} = "Q"_{"Fr'"}/(1.84*("H"_{"Stillwater"}^(3/2)-"H"_{"V"}^(3/2)))`

Example

`"2.146376m"="28m³/s"/(1.84*(("6.6m")^(3/2)-("4.6m")^(3/2)))`

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

Length of Crest when Discharge and Velocity is considered Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Weir Crest = Francis Discharge with Suppressed End/(1.84*(Still Water Head^(3/2)-Velocity Head^(3/2)))
L_w = Q_Fr'/(1.84*(H_Stillwater^(3/2)-H_V^(3/2)))
This formula uses 4 Variables

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.
Francis Discharge with Suppressed End - (Measured in Cubic Meter per Second) - Francis Discharge with Suppressed End is discharge of flow without the end contraction.
Still Water Head - (Measured in Meter) - Still Water Head is the head of water which is still over weir.
Velocity Head - (Measured in Meter) - Velocity Head is represented in the term of length unit, also referred to as kinetic head represents the kinetic energy of the fluid.

STEP 1: Convert Input(s) to Base Unit

Francis Discharge with Suppressed End: 28 Cubic Meter per Second --> 28 Cubic Meter per Second No Conversion Required
Still Water Head: 6.6 Meter --> 6.6 Meter No Conversion Required
Velocity Head: 4.6 Meter --> 4.6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_w = Q_Fr'/(1.84*(H_Stillwater^(3/2)-H_V^(3/2))) --> 28/(1.84*(6.6^(3/2)-4.6^(3/2)))

Evaluating ... ...

L_w = 2.14637622237045

STEP 3: Convert Result to Output's Unit

2.14637622237045 Meter --> No Conversion Required

FINAL ANSWER

2.14637622237045 ≈ 2.146376 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 Rectangular Sharp-Crested Weir or Notch » Length of Crest » Length of Crest when Discharge and Velocity is considered

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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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< 9 Length of Crest Calculators

Length of Crest considering Velocity

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

Length of Crest given Discharge Passing over Weir

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

Length of Crest without considering Velocity

Go Length of Weir Crest = ((Francis Discharge*2)/(3*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)))^(2/3)+(0.1*Number of End Contraction*Height of Water above Crest of Weir)

Length given Bazins Formula for Discharge if Velocity is not considered

Go Length of Weir Crest = Bazins Discharge without Velocity/(Bazins Coefficient*sqrt(2*Acceleration due to Gravity)*Height of Water above Crest of Weir^(3/2))

Length of Crest when Francis Formula Discharge and Velocity is considered

Go Length of Weir Crest = (Francis Discharge/(1.84*(Still Water Head^(3/2)-Velocity Head^(3/2))))+(0.1*Number of End Contraction*Still Water Head)

Length when Bazins formula for Discharge if Velocity is considered

Go Length of Weir Crest = Bazins Discharge with Velocity/(Bazins Coefficient*sqrt(2*Acceleration due to Gravity)*Still Water Head^(3/2))

Length of Crest when Francis Formula Discharge and Velocity is not considered

Go Length of Weir Crest = (Francis Discharge/(1.84*Height of Water above Crest of Weir^(3/2)))+(0.1*Number of End Contraction*Height of Water above Crest of Weir)

Length of Crest when Discharge and Velocity is considered

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

Length of Crest when Discharge and Velocity is not considered

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

Length of Crest when Discharge and Velocity is considered Formula

Length of Weir Crest = Francis Discharge with Suppressed End/(1.84*(Still Water Head^(3/2)-Velocity Head^(3/2)))
L_w = Q_Fr'/(1.84*(H_Stillwater^(3/2)-H_V^(3/2)))

What is meant by Head?

In hydraulics, Head is a measure of the potential of fluid at the measurement point. or total energy per unit weight above a datum.

How to Calculate Length of Crest when Discharge and Velocity is considered?

Length of Crest when Discharge and Velocity is considered calculator uses Length of Weir Crest = Francis Discharge with Suppressed End/(1.84*(Still Water Head^(3/2)-Velocity Head^(3/2))) to calculate the Length of Weir Crest, Length of Crest when Discharge and Velocity is considered applies to the area of reclamation can be defined as ' The distance, measured along the axis. Length of Weir Crest is denoted by L_w symbol.

How to calculate Length of Crest when Discharge and Velocity is considered using this online calculator? To use this online calculator for Length of Crest when Discharge and Velocity is considered, enter Francis Discharge with Suppressed End (Q_Fr'), Still Water Head (H_Stillwater) & Velocity Head (H_V) and hit the calculate button. Here is how the Length of Crest when Discharge and Velocity is considered calculation can be explained with given input values -> 2.146376 = 28/(1.84*(6.6^(3/2)-4.6^(3/2))).

FAQ

What is Length of Crest when Discharge and Velocity is considered?

Length of Crest when Discharge and Velocity is considered applies to the area of reclamation can be defined as ' The distance, measured along the axis and is represented as L_w = Q_Fr'/(1.84*(H_Stillwater^(3/2)-H_V^(3/2))) or Length of Weir Crest = Francis Discharge with Suppressed End/(1.84*(Still Water Head^(3/2)-Velocity Head^(3/2))). Francis Discharge with Suppressed End is discharge of flow without the end contraction, Still Water Head is the head of water which is still over weir & Velocity Head is represented in the term of length unit, also referred to as kinetic head represents the kinetic energy of the fluid.

How to calculate Length of Crest when Discharge and Velocity is considered?

Length of Crest when Discharge and Velocity is considered applies to the area of reclamation can be defined as ' The distance, measured along the axis is calculated using Length of Weir Crest = Francis Discharge with Suppressed End/(1.84*(Still Water Head^(3/2)-Velocity Head^(3/2))). To calculate Length of Crest when Discharge and Velocity is considered, you need Francis Discharge with Suppressed End (Q_Fr'), Still Water Head (H_Stillwater) & Velocity Head (H_V). With our tool, you need to enter the respective value for Francis Discharge with Suppressed End, Still Water Head & Velocity Head 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 Francis Discharge with Suppressed End, Still Water Head & Velocity Head. We can use 8 other way(s) to calculate the same, which is/are as follows -

Length of Weir Crest = (Francis Discharge with Suppressed End*3)/(2*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*((Height of Water above Crest of Weir+Velocity Head)^(3/2)-Velocity Head^(3/2)))
Length of Weir Crest = ((Francis Discharge*2)/(3*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)))^(2/3)+(0.1*Number of End Contraction*Height of Water above Crest of Weir)
Length of Weir Crest = ((3*Francis Discharge with Suppressed End)/(2*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*(Still Water Head^(3/2)-Velocity Head^(3/2))))+(0.1*Number of End Contraction*Still Water Head)
Length of Weir Crest = (Francis Discharge/(1.84*Height of Water above Crest of Weir^(3/2)))+(0.1*Number of End Contraction*Height of Water above Crest of Weir)
Length of Weir Crest = (Francis Discharge/(1.84*(Still Water Head^(3/2)-Velocity Head^(3/2))))+(0.1*Number of End Contraction*Still Water Head)
Length of Weir Crest = Francis Discharge with Suppressed End/(1.84*Still Water Head^(3/2))
Length of Weir Crest = Bazins Discharge without Velocity/(Bazins Coefficient*sqrt(2*Acceleration due to Gravity)*Height of Water above Crest of Weir^(3/2))
Length of Weir Crest = Bazins Discharge with Velocity/(Bazins Coefficient*sqrt(2*Acceleration due to Gravity)*Still Water Head^(3/2))

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