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Head over Crest given Discharge Passing over Weir with Velocity Formula

GoHead over Crest for given Discharge without Velocity Formula

GoHead given Discharge through Notch which is to be Calibrated Formula

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Height of Water above Crest of Weir is defined as the water surface height above crest. Check FAQs

S w = {((\frac{Q Fr' \cdot 3}{2 \cdot C d \cdot \sqrt{2 \cdot g} \cdot L w}) + {H V}^{\frac{3}{2}})}^{\frac{2}{3}} - H V

S_w - Height of Water above Crest of Weir?Q_Fr' - Francis Discharge with Suppressed End?C_d - Coefficient of Discharge?g - Acceleration due to Gravity?L_w - Length of Weir Crest?H_V - Velocity Head?

Head over Crest given Discharge Passing over Weir with Velocity Example

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Here is how the Head over Crest given Discharge Passing over Weir with Velocity equation looks like with Values.

Here is how the Head over Crest given Discharge Passing over Weir with Velocity equation looks like with Units.

Here is how the Head over Crest given Discharge Passing over Weir with Velocity equation looks like.

1.3892 = {((\frac{28 \cdot 3}{2 \cdot 0.66 \cdot \sqrt{2 \cdot 9.8} \cdot 3}) + {4.6}^{\frac{3}{2}})}^{\frac{2}{3}} - 4.6

1.3892m = {((\frac{28m³/s \cdot 3}{2 \cdot 0.66 \cdot \sqrt{2 \cdot 9.8m/s²} \cdot 3m}) + {4.6m}^{\frac{3}{2}})}^{\frac{2}{3}} - 4.6m

1.3892 = {((\frac{28 \cdot 3}{2 \cdot 0.66 \cdot \sqrt{2 \cdot 9.8} \cdot 3}) + {4.6}^{\frac{3}{2}})}^{\frac{2}{3}} - 4.6

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Hydraulics and Waterworks » fx Head over Crest given Discharge Passing over Weir with Velocity

Head over Crest given Discharge Passing over Weir with Velocity Solution

Follow our step by step solution on how to calculate Head over Crest given Discharge Passing over Weir with Velocity?

FIRST Step Consider the formula

S w = {((\frac{Q Fr' \cdot 3}{2 \cdot C d \cdot \sqrt{2 \cdot g} \cdot L w}) + {H V}^{\frac{3}{2}})}^{\frac{2}{3}} - H V

Next Step Substitute values of Variables

∴

S w = {((\frac{28m³/s \cdot 3}{2 \cdot 0.66 \cdot \sqrt{2 \cdot 9.8m/s²} \cdot 3m}) + {4.6m}^{\frac{3}{2}})}^{\frac{2}{3}} - 4.6m

Next Step Prepare to Evaluate

∴

S w = {((\frac{28 \cdot 3}{2 \cdot 0.66 \cdot \sqrt{2 \cdot 9.8} \cdot 3}) + {4.6}^{\frac{3}{2}})}^{\frac{2}{3}} - 4.6

Next Step Evaluate

∴

S w = 1.38918803416124m

LAST Step Rounding Answer

∴

S w = 1.3892m

Head over Crest given Discharge Passing over Weir with Velocity Formula Elements

Variables

Functions

Height of Water above Crest of Weir

Height of Water above Crest of Weir is defined as the water surface height above crest.

Symbol: S_w

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Water above Crest of Weir

Francis Discharge with Suppressed End

Francis Discharge with Suppressed End is discharge of flow without the end contraction.

Symbol: Q_Fr'

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Francis Discharge with Suppressed End

Coefficient of Discharge

The Coefficient of Discharge is ratio of actual discharge to theoretical discharge.

Symbol: C_d

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.2.

Formulas to find Coefficient of Discharge

Acceleration due to Gravity

The Acceleration due to Gravity is acceleration gained by an object because of gravitational force.

Symbol: g

Measurement: AccelerationUnit: m/s²

Note: Value should be greater than 0.

Formulas to find Acceleration due to Gravity

Length of Weir Crest

Length of Weir Crest is the measurement or extent of Weir Crest from end to end.

Symbol: L_w

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Weir Crest

Velocity Head

Velocity Head is represented in the term of length unit, also referred to as kinetic head represents the kinetic energy of the fluid.

Symbol: H_V

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Velocity Head

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.

Syntax: sqrt(Number)

Other Formulas to find Height of Water above Crest of Weir

Go Head over Crest for given Discharge without Velocity

S w = {(\frac{Q Fr' \cdot 3}{2 \cdot C d \cdot \sqrt{2 \cdot g} \cdot L w})}^{\frac{2}{3}}

Go Head given Discharge through Notch which is to be Calibrated

S w = {(\frac{Q Fr'}{k Flow})}^{\frac{1}{n}}

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

S w = {(\frac{Q Bv1}{m \cdot \sqrt{2 \cdot g} \cdot L w})}^{\frac{2}{3}}

Go Head given Coefficient for Bazin Formula

S w = \frac{0.003}{m - 0.405}

Other formulas in Hydraulic Head category

Go Head when End Contractions is suppressed

H Stillwater = {(\frac{Q Fr'}{1.84 \cdot L w})}^{\frac{2}{3}}

Go Head when Bazin Formula for Discharge if Velocity is considered

H Stillwater = {(\frac{Q Bv}{m \cdot \sqrt{2 \cdot g} \cdot L w})}^{\frac{2}{3}}

Go Head given Coefficient using Bazin Formula and Velocity

H Stillwater = \frac{0.003}{m - 0.405}

How to Evaluate Head over Crest given Discharge Passing over Weir with Velocity?

Head over Crest given Discharge Passing over Weir with Velocity evaluator uses 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 to evaluate the Height of Water above Crest of Weir, Head over Crest given Discharge Passing over Weir with Velocity is measure of potential of fluid at measurement point. Height of Water above Crest of Weir is denoted by S_w symbol.

How to evaluate Head over Crest given Discharge Passing over Weir with Velocity using this online evaluator? To use this online evaluator for Head over Crest given Discharge Passing over Weir with Velocity, enter Francis Discharge with Suppressed End (Q_Fr'), Coefficient of Discharge (C_d), Acceleration due to Gravity (g), Length of Weir Crest (L_w) & Velocity Head (H_V) and hit the calculate button.

FAQs on Head over Crest given Discharge Passing over Weir with Velocity

What is the formula to find Head over Crest given Discharge Passing over Weir with Velocity?

The formula of Head over Crest given Discharge Passing over Weir with Velocity is expressed as 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. Here is an example- 1.389188 = (((28*3)/(2*0.66*sqrt(2*9.8)*3))+4.6^(3/2))^(2/3)-4.6.

How to calculate Head over Crest given Discharge Passing over Weir with Velocity?

With Francis Discharge with Suppressed End (Q_Fr'), Coefficient of Discharge (C_d), Acceleration due to Gravity (g), Length of Weir Crest (L_w) & Velocity Head (H_V) we can find Head over Crest given Discharge Passing over Weir with Velocity using the formula - 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. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Height of Water above Crest of Weir?

Here are the different ways to Calculate Height of Water above Crest of Weir-

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/Constant of Flow)^(1/Number of End Contraction)
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)

Can the Head over Crest given Discharge Passing over Weir with Velocity be negative?

No, the Head over Crest given Discharge Passing over Weir with Velocity, measured in Length cannot be negative.

Which unit is used to measure Head over Crest given Discharge Passing over Weir with Velocity?

Head over Crest given Discharge Passing over Weir with Velocity is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Head over Crest given Discharge Passing over Weir with Velocity can be measured.

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Head over Crest given Discharge Passing over Weir with Velocity Formula

​GoHead over Crest for given Discharge without Velocity Formula

​GoHead given Discharge through Notch which is to be Calibrated Formula

Head over Crest given Discharge Passing over Weir with Velocity Example

Head over Crest given Discharge Passing over Weir with Velocity Solution

Head over Crest given Discharge Passing over Weir with Velocity Formula Elements

Other Formulas to find Height of Water above Crest of Weir

Other formulas in Hydraulic Head category

How to Evaluate Head over Crest given Discharge Passing over Weir with Velocity?

FAQs on Head over Crest given Discharge Passing over Weir with Velocity

Variable Name

GoHead over Crest for given Discharge without Velocity Formula

GoHead given Discharge through Notch which is to be Calibrated Formula