Head when Bazin Formula for Discharge if Velocity is considered Calculator

✖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 Discharge with Velocity [Q_Bv]			+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%

✖Still Water Head is the head of water which is still over weir.ⓘ Head when Bazin Formula for Discharge if Velocity is considered [H_Stillwater]

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Formula

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Head when Bazin Formula for Discharge if Velocity is considered

Formula

`"H"_{"Stillwater"} = ("Q"_{"Bv"}/("m"*sqrt(2*"g")*"L"_{"w"}))^(2/3)`

Example

`"6.599725m"= ("91.65m³/s"/("0.407"*sqrt(2*"9.8m/s²")*"3m"))^(2/3)`

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Head when Bazin Formula for Discharge if Velocity is considered Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Still Water Head - (Measured in Meter) - Still Water Head is the head of water which is still over weir.
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.
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 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
Length of Weir Crest: 3 Meter --> 3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H_Stillwater = (Q_Bv/(m*sqrt(2*g)*L_w))^(2/3) --> (91.65/(0.407*sqrt(2*9.8)*3))^(2/3)

Evaluating ... ...

H_Stillwater = 6.59972510468246

STEP 3: Convert Result to Output's Unit

6.59972510468246 Meter --> No Conversion Required

FINAL ANSWER

6.59972510468246 ≈ 6.599725 Meter <-- Still Water Head

(Calculation completed in 00.004 seconds)

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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 considered Formula

Still Water Head = (Bazins Discharge with Velocity/(Bazins Coefficient*sqrt(2*Acceleration due to Gravity)*Length of Weir Crest))^(2/3)
H_Stillwater = (Q_Bv/(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 the purpose of a weir?

Weirs are fixed barriers across a river or stream that force water to flow over their tops, where the height of the water above the weir can be used to calculate flow.

How to Calculate Head when Bazin Formula for Discharge if Velocity is considered?

Head when Bazin Formula for Discharge if Velocity is considered calculator uses Still Water Head = (Bazins Discharge with Velocity/(Bazins Coefficient*sqrt(2*Acceleration due to Gravity)*Length of Weir Crest))^(2/3) to calculate the Still Water Head, The Head when Bazin formula for discharge if velocity is considered is given is a measure of the potential of fluid at the measurement point. Still Water Head is denoted by H_Stillwater symbol.

How to calculate Head when Bazin Formula for Discharge if Velocity is considered using this online calculator? To use this online calculator for Head when Bazin Formula for Discharge if Velocity is considered, enter Bazins Discharge with Velocity (Q_Bv), 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 considered calculation can be explained with given input values -> 6.599725 = (91.65/(0.407*sqrt(2*9.8)*3))^(2/3).

FAQ

What is Head when Bazin Formula for Discharge if Velocity is considered?

The Head when Bazin formula for discharge if velocity is considered is given is a measure of the potential of fluid at the measurement point and is represented as H_Stillwater = (Q_Bv/(m*sqrt(2*g)*L_w))^(2/3) or Still Water Head = (Bazins Discharge with Velocity/(Bazins Coefficient*sqrt(2*Acceleration due to Gravity)*Length of Weir Crest))^(2/3). 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 & 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 considered?

The Head when Bazin formula for discharge if velocity is considered is given is a measure of the potential of fluid at the measurement point is calculated using Still Water Head = (Bazins Discharge with 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 considered, you need Bazins Discharge with Velocity (Q_Bv), 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 with 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 Still Water Head?

In this formula, Still Water Head uses Bazins Discharge with Velocity, Bazins Coefficient, Acceleration due to Gravity & Length of Weir Crest. We can use 2 other way(s) to calculate the same, which is/are as follows -

Still Water Head = (Francis Discharge with Suppressed End/(1.84*Length of Weir Crest))^(2/3)
Still Water Head = 0.003/(Bazins Coefficient-0.405)

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