Length when Bazins formula for Discharge if Velocity is considered Solution

STEP 0: Pre-Calculation Summary
Formula Used
Length of Weir Crest = Bazins Discharge with Velocity/(Bazins Coefficient*sqrt(2*Acceleration due to Gravity)*Still Water Head^(3/2))
Lw = QBv/(m*sqrt(2*g)*HStillwater^(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
Length of Weir Crest - (Measured in Meter) - Length of Weir Crest is the measurement or extent of Weir Crest from end to end.
Bazins Discharge with Velocity - (Measured in Cubic Meter per Second) - Bazins Discharge with Velocity is a measure of the quantity of any fluid flow over unit time. The quantity may be either volume or mass.
Bazins Coefficient - Bazins Coefficient is the constant value obtained by Head.
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.
Still Water Head - (Measured in Meter) - Still Water Head is the head of water which is still over weir.
STEP 1: Convert Input(s) to Base Unit
Bazins Discharge with Velocity: 91.65 Cubic Meter per Second --> 91.65 Cubic Meter per Second No Conversion Required
Bazins Coefficient: 0.407 --> No Conversion Required
Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Still Water Head: 6.6 Meter --> 6.6 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Lw = QBv/(m*sqrt(2*g)*HStillwater^(3/2)) --> 91.65/(0.407*sqrt(2*9.8)*6.6^(3/2))
Evaluating ... ...
Lw = 2.99981257332606
STEP 3: Convert Result to Output's Unit
2.99981257332606 Meter --> No Conversion Required
FINAL ANSWER
2.99981257332606 2.999813 Meter <-- Length of Weir Crest
(Calculation completed in 00.020 seconds)

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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 when Bazins formula for Discharge if Velocity is considered Formula

Length of Weir Crest = Bazins Discharge with Velocity/(Bazins Coefficient*sqrt(2*Acceleration due to Gravity)*Still Water Head^(3/2))
Lw = QBv/(m*sqrt(2*g)*HStillwater^(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 when Bazins formula for Discharge if Velocity is considered?

Length when Bazins formula for Discharge if Velocity is considered calculator uses Length of Weir Crest = Bazins Discharge with Velocity/(Bazins Coefficient*sqrt(2*Acceleration due to Gravity)*Still Water Head^(3/2)) to calculate the Length of Weir Crest, The Length when Bazins formula for Discharge if Velocity is considered is given 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 when Bazins formula for Discharge if Velocity is considered using this online calculator? To use this online calculator for Length when Bazins formula for Discharge if Velocity is considered, enter Bazins Discharge with Velocity (QBv), Bazins Coefficient (m), Acceleration due to Gravity (g) & Still Water Head (HStillwater) and hit the calculate button. Here is how the Length when Bazins formula for Discharge if Velocity is considered calculation can be explained with given input values -> 2.999813 = 91.65/(0.407*sqrt(2*9.8)*6.6^(3/2)).

FAQ

What is Length when Bazins formula for Discharge if Velocity is considered?
The Length when Bazins formula for Discharge if Velocity is considered is given as it applies to the area of reclamation can be defined as ' The distance, measured along the axis and is represented as Lw = QBv/(m*sqrt(2*g)*HStillwater^(3/2)) or Length of Weir Crest = Bazins Discharge with Velocity/(Bazins Coefficient*sqrt(2*Acceleration due to Gravity)*Still Water Head^(3/2)). Bazins Discharge with Velocity is a measure of the quantity of any fluid flow over unit time. The quantity may be either volume or mass, Bazins Coefficient is the constant value obtained by Head, The Acceleration due to Gravity is acceleration gained by an object because of gravitational force & Still Water Head is the head of water which is still over weir.
How to calculate Length when Bazins formula for Discharge if Velocity is considered?
The Length when Bazins formula for Discharge if Velocity is considered is given 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 = Bazins Discharge with Velocity/(Bazins Coefficient*sqrt(2*Acceleration due to Gravity)*Still Water Head^(3/2)). To calculate Length when Bazins formula for Discharge if Velocity is considered, you need Bazins Discharge with Velocity (QBv), Bazins Coefficient (m), Acceleration due to Gravity (g) & Still Water Head (HStillwater). With our tool, you need to enter the respective value for Bazins Discharge with Velocity, Bazins Coefficient, Acceleration due to Gravity & Still Water 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 Bazins Discharge with Velocity, Bazins Coefficient, Acceleration due to Gravity & Still Water 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 = 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))
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