Head when Bazin Formula for Discharge if Velocity is not considered Calculator

✖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 Discharge without Velocity [Q_Bv1]			+10% -10%
✖Bazins Coefficient is the constant value obtained by Head.ⓘ Bazins Coefficient [m]			+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.ⓘ Head when Bazin Formula for Discharge if Velocity is not considered [S_w]

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Formula

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Head when Bazin Formula for Discharge if Velocity is not considered

Formula

`"S"_{"w"} = ("Q"_{"Bv1"}/("m"*sqrt(2*"g")*"L"_{"w"}))^(2/3)`

Example

`"2.00093m"= ("15.3m³/s"/("0.407"*sqrt(2*"9.8m/s²")*"3m"))^(2/3)`

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

Head when Bazin Formula for Discharge if Velocity is not considered Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Water above Crest of Weir = (Bazins Discharge without Velocity/(Bazins Coefficient*sqrt(2*Acceleration due to Gravity)*Length of Weir Crest))^(2/3)
S_w = (Q_Bv1/(m*sqrt(2*g)*L_w))^(2/3)
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

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.
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.
Length of Weir Crest - (Measured in Meter) - Length of Weir Crest is the measurement or extent of Weir Crest from end to end.

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
Length of Weir Crest: 3 Meter --> 3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S_w = (Q_Bv1/(m*sqrt(2*g)*L_w))^(2/3) --> (15.3/(0.407*sqrt(2*9.8)*3))^(2/3)

Evaluating ... ...

S_w = 2.00092965507993

STEP 3: Convert Result to Output's Unit

2.00092965507993 Meter --> No Conversion Required

FINAL ANSWER

2.00092965507993 ≈ 2.00093 Meter <-- Height of Water above Crest of Weir

(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 » Hydraulic Head » Head when Bazin Formula for Discharge if Velocity is not considered

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National Institute of Technology (NIT), Warangal

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< 8 Hydraulic Head Calculators

Head over Crest given Discharge Passing over Weir with Velocity

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

Head over Crest for given Discharge without Velocity

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

Head when Bazin Formula for Discharge if Velocity is not considered

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

Head when Bazin Formula for Discharge if Velocity is considered

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

Head given Discharge through Notch which is to be Calibrated

Go Height of Water above Crest of Weir = (Francis Discharge with Suppressed End/Constant of Flow)^(1/Number of End Contraction)

Head when End Contractions is suppressed

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

Head given Coefficient for Bazin Formula

Go Height of Water above Crest of Weir = 0.003/(Bazins Coefficient-0.405)

Head given Coefficient using Bazin Formula and Velocity

Go Still Water Head = 0.003/(Bazins Coefficient-0.405)

Head when Bazin Formula for Discharge if Velocity is not considered Formula

Height of Water above Crest of Weir = (Bazins Discharge without Velocity/(Bazins Coefficient*sqrt(2*Acceleration due to Gravity)*Length of Weir Crest))^(2/3)
S_w = (Q_Bv1/(m*sqrt(2*g)*L_w))^(2/3)

What does Discharge Mean?

Discharge is a measure of the quantity of any fluid flow over unit time. The quantity may be either volume or mass.

What is meant by head?

Head is a concept that relates the energy in an incompressible fluid to the height of an equivalent static column of that fluid. The static head of a pump is the maximum height (pressure) it can deliver.

How to Calculate Head when Bazin Formula for Discharge if Velocity is not considered?

Head when Bazin Formula for Discharge if Velocity is not considered calculator uses Height of Water above Crest of Weir = (Bazins Discharge without Velocity/(Bazins Coefficient*sqrt(2*Acceleration due to Gravity)*Length of Weir Crest))^(2/3) to calculate the Height of Water above Crest of Weir, The Head when Bazin formula for discharge if velocity is not considered is a measure of the potential of fluid at the measurement point. Height of Water above Crest of Weir is denoted by S_w symbol.

How to calculate Head when Bazin Formula for Discharge if Velocity is not considered using this online calculator? To use this online calculator for Head when Bazin Formula for Discharge if Velocity is not considered, enter Bazins Discharge without Velocity (Q_Bv1), Bazins Coefficient (m), Acceleration due to Gravity (g) & Length of Weir Crest (L_w) and hit the calculate button. Here is how the Head when Bazin Formula for Discharge if Velocity is not considered calculation can be explained with given input values -> 2.00093 = (15.3/(0.407*sqrt(2*9.8)*3))^(2/3).

FAQ

What is Head when Bazin Formula for Discharge if Velocity is not considered?

The Head when Bazin formula for discharge if velocity is not considered is a measure of the potential of fluid at the measurement point and is represented as S_w = (Q_Bv1/(m*sqrt(2*g)*L_w))^(2/3) or Height of Water above Crest of Weir = (Bazins Discharge without Velocity/(Bazins Coefficient*sqrt(2*Acceleration due to Gravity)*Length of Weir Crest))^(2/3). 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 & Length of Weir Crest is the measurement or extent of Weir Crest from end to end.

How to calculate Head when Bazin Formula for Discharge if Velocity is not considered?

The Head when Bazin formula for discharge if velocity is not considered is a measure of the potential of fluid at the measurement point is calculated using Height of Water above Crest of Weir = (Bazins Discharge without Velocity/(Bazins Coefficient*sqrt(2*Acceleration due to Gravity)*Length of Weir Crest))^(2/3). To calculate Head when Bazin Formula for Discharge if Velocity is not considered, you need Bazins Discharge without Velocity (Q_Bv1), Bazins Coefficient (m), Acceleration due to Gravity (g) & Length of Weir Crest (L_w). With our tool, you need to enter the respective value for Bazins Discharge without Velocity, Bazins Coefficient, Acceleration due to Gravity & Length of Weir Crest 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 Height of Water above Crest of Weir?

In this formula, Height of Water above Crest of Weir uses Bazins Discharge without Velocity, Bazins Coefficient, Acceleration due to Gravity & Length of Weir Crest. We can use 4 other way(s) to calculate the same, which is/are as follows -

Height of Water above Crest of Weir = ((Francis Discharge with Suppressed End*3)/(2*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*Length of Weir Crest))^(2/3)
Height of Water above Crest of Weir = (((Francis Discharge with Suppressed End*3)/(2*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*Length of Weir Crest))+Velocity Head^(3/2))^(2/3)-Velocity Head
Height of Water above Crest of Weir = (Francis Discharge with Suppressed End/Constant of Flow)^(1/Number of End Contraction)
Height of Water above Crest of Weir = 0.003/(Bazins Coefficient-0.405)

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