Length given Bazins Formula for Discharge if Velocity is not considered Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
Lw = QBv1/(m*sqrt(2*g)*Sw^(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 without Velocity - (Measured in Cubic Meter per Second) - Bazins Discharge without 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.
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
Bazins Discharge without Velocity: 15.3 Cubic Meter per Second --> 15.3 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
Height of Water above Crest of Weir: 2 Meter --> 2 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Lw = QBv1/(m*sqrt(2*g)*Sw^(3/2)) --> 15.3/(0.407*sqrt(2*9.8)*2^(3/2))
Evaluating ... ...
Lw = 3.00209196698375
STEP 3: Convert Result to Output's Unit
3.00209196698375 Meter --> No Conversion Required
FINAL ANSWER
3.00209196698375 3.002092 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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Length of Crest Calculators

Length of Crest considering Velocity
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ 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 of Crest when Francis Formula Discharge and Velocity is not considered
​ LaTeX ​ 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 given Bazins Formula for Discharge if Velocity is not considered Formula

​LaTeX ​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))
Lw = QBv1/(m*sqrt(2*g)*Sw^(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 given Bazins Formula for Discharge if Velocity is not considered?

Length given Bazins Formula for Discharge if Velocity is not considered calculator uses 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)) to calculate the Length of Weir Crest, Length given Bazins Formula for Discharge if Velocity is not considered is given as it applies to area of reclamation can be defined as ' distance, measured along axis. Length of Weir Crest is denoted by Lw symbol.

How to calculate Length given Bazins Formula for Discharge if Velocity is not considered using this online calculator? To use this online calculator for Length given Bazins Formula for Discharge if Velocity is not considered, enter Bazins Discharge without Velocity (QBv1), Bazins Coefficient (m), Acceleration due to Gravity (g) & Height of Water above Crest of Weir (Sw) and hit the calculate button. Here is how the Length given Bazins Formula for Discharge if Velocity is not considered calculation can be explained with given input values -> 3.002092 = 15.3/(0.407*sqrt(2*9.8)*2^(3/2)).

FAQ

What is Length given Bazins Formula for Discharge if Velocity is not considered?
Length given Bazins Formula for Discharge if Velocity is not considered is given as it applies to area of reclamation can be defined as ' distance, measured along axis and is represented as Lw = QBv1/(m*sqrt(2*g)*Sw^(3/2)) or 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)). Bazins Discharge without 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 & Height of Water above Crest of Weir is defined as the water surface height above crest.
How to calculate Length given Bazins Formula for Discharge if Velocity is not considered?
Length given Bazins Formula for Discharge if Velocity is not considered is given as it applies to area of reclamation can be defined as ' distance, measured along axis is calculated using 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)). To calculate Length given Bazins Formula for Discharge if Velocity is not considered, you need Bazins Discharge without Velocity (QBv1), Bazins Coefficient (m), Acceleration due to Gravity (g) & Height of Water above Crest of Weir (Sw). With our tool, you need to enter the respective value for Bazins Discharge without Velocity, Bazins Coefficient, Acceleration due to Gravity & 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 Length of Weir Crest?
In this formula, Length of Weir Crest uses Bazins Discharge without Velocity, Bazins Coefficient, Acceleration due to Gravity & Height of Water above Crest of Weir. We can use 3 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)
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