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

STEP 0: Pre-Calculation Summary
Formula Used
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)
Lw = (QFr/(1.84*Sw^(3/2)))+(0.1*n*Sw)
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 - (Measured in Cubic Meter per Second) - Francis Discharge is calculated from the empirical formula given by Francis.
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.
Number of End Contraction - Number of End Contraction 1 can be described as the end contractions acting on a channel.
STEP 1: Convert Input(s) to Base Unit
Francis Discharge: 8 Cubic Meter per Second --> 8 Cubic Meter per Second No Conversion Required
Height of Water above Crest of Weir: 2 Meter --> 2 Meter No Conversion Required
Number of End Contraction: 4 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Lw = (QFr/(1.84*Sw^(3/2)))+(0.1*n*Sw) --> (8/(1.84*2^(3/2)))+(0.1*4*2)
Evaluating ... ...
Lw = 2.33718865475336
STEP 3: Convert Result to Output's Unit
2.33718865475336 Meter --> No Conversion Required
FINAL ANSWER
2.33718865475336 2.337189 Meter <-- Length of Weir Crest
(Calculation completed in 00.004 seconds)

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Created by M Naveen
National Institute of Technology (NIT), Warangal
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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 Francis Formula Discharge and Velocity is not considered Formula

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)
Lw = (QFr/(1.84*Sw^(3/2)))+(0.1*n*Sw)

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 Francis Formula Discharge and Velocity is not considered?

Length of Crest when Francis Formula Discharge and Velocity is not considered calculator uses 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) to calculate the Length of Weir Crest, The Length of crest when Francis formula discharge and velocity is not considered as it applies to the area of reclamation can be defined as ' The distance, measured along the axis. Length of Weir Crest is denoted by Lw symbol.

How to calculate Length of Crest when Francis Formula Discharge and Velocity is not considered using this online calculator? To use this online calculator for Length of Crest when Francis Formula Discharge and Velocity is not considered, enter Francis Discharge (QFr), Height of Water above Crest of Weir (Sw) & Number of End Contraction (n) and hit the calculate button. Here is how the Length of Crest when Francis Formula Discharge and Velocity is not considered calculation can be explained with given input values -> 2.337189 = (8/(1.84*2^(3/2)))+(0.1*4*2).

FAQ

What is Length of Crest when Francis Formula Discharge and Velocity is not considered?
The Length of crest when Francis formula discharge and velocity is not considered as it applies to the area of reclamation can be defined as ' The distance, measured along the axis and is represented as Lw = (QFr/(1.84*Sw^(3/2)))+(0.1*n*Sw) or 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). Francis Discharge is calculated from the empirical formula given by Francis, Height of Water above Crest of Weir is defined as the water surface height above crest & Number of End Contraction 1 can be described as the end contractions acting on a channel.
How to calculate Length of Crest when Francis Formula Discharge and Velocity is not considered?
The Length of crest when Francis formula discharge and velocity is not considered as it 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/(1.84*Height of Water above Crest of Weir^(3/2)))+(0.1*Number of End Contraction*Height of Water above Crest of Weir). To calculate Length of Crest when Francis Formula Discharge and Velocity is not considered, you need Francis Discharge (QFr), Height of Water above Crest of Weir (Sw) & Number of End Contraction (n). With our tool, you need to enter the respective value for Francis Discharge, Height of Water above Crest of Weir & Number of End Contraction 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, Height of Water above Crest of Weir & Number of End Contraction. 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*(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 = Francis Discharge with Suppressed End/ (1.84*(Still Water Head^(3/2)-Velocity 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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