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Head of Liquid above V-notch Formula

GoHead of Liquid at Crest Formula

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The Head of Liquid is the height of a liquid column that corresponds to a particular pressure exerted by the liquid column from the base of its container. Check FAQs

H = {(\frac{Q th}{\frac{8}{15} \cdot C d \cdot \tan (\frac{∠A}{2}) \cdot \sqrt{2 \cdot [g]}})}^{0.4}

H - Head of Liquid?Q_th - Theoretical Discharge?C_d - Coefficient of Discharge?∠A - Angle A?[g] - Gravitational acceleration on Earth?

Head of Liquid above V-notch Example

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Here is how the Head of Liquid above V-notch equation looks like with Values.

Here is how the Head of Liquid above V-notch equation looks like with Units.

Here is how the Head of Liquid above V-notch equation looks like.

3.0615 = {(\frac{90}{\frac{8}{15} \cdot 0.8 \cdot \tan (\frac{142}{2}) \cdot \sqrt{2 \cdot 9.8066}})}^{0.4}

3.0615m = {(\frac{90m³/s}{\frac{8}{15} \cdot 0.8 \cdot \tan (\frac{142°}{2}) \cdot \sqrt{2 \cdot 9.8066m/s²}})}^{0.4}

3.0615 = {(\frac{90}{\frac{8}{15} \cdot 0.8 \cdot \tan (\frac{142}{2}) \cdot \sqrt{2 \cdot 9.8066}})}^{0.4}

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Head of Liquid above V-notch Solution

Follow our step by step solution on how to calculate Head of Liquid above V-notch?

FIRST Step Consider the formula

H = {(\frac{Q th}{\frac{8}{15} \cdot C d \cdot \tan (\frac{∠A}{2}) \cdot \sqrt{2 \cdot [g]}})}^{0.4}

Next Step Substitute values of Variables

∴

H = {(\frac{90m³/s}{\frac{8}{15} \cdot 0.8 \cdot \tan (\frac{142°}{2}) \cdot \sqrt{2 \cdot [g]}})}^{0.4}

Next Step Substitute values of Constants

∴

H = {(\frac{90m³/s}{\frac{8}{15} \cdot 0.8 \cdot \tan (\frac{142°}{2}) \cdot \sqrt{2 \cdot 9.8066m/s²}})}^{0.4}

Next Step Convert Units

∴

H = {(\frac{90m³/s}{\frac{8}{15} \cdot 0.8 \cdot \tan (\frac{2.4784rad}{2}) \cdot \sqrt{2 \cdot 9.8066m/s²}})}^{0.4}

Next Step Prepare to Evaluate

∴

H = {(\frac{90}{\frac{8}{15} \cdot 0.8 \cdot \tan (\frac{2.4784}{2}) \cdot \sqrt{2 \cdot 9.8066}})}^{0.4}

Next Step Evaluate

∴

H = 3.06154131442832m

LAST Step Rounding Answer

∴

H = 3.0615m

Head of Liquid above V-notch Formula Elements

Variables

Constants

Functions

Head of Liquid

The Head of Liquid is the height of a liquid column that corresponds to a particular pressure exerted by the liquid column from the base of its container.

Symbol: H

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Head of Liquid

Theoretical Discharge

The Theoretical Discharge is given by the theoretical area and velocity.

Symbol: Q_th

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Theoretical Discharge

Coefficient of Discharge

The Coefficient of Discharge or efflux coefficient is the ratio of the actual discharge to the theoretical discharge.

Symbol: C_d

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Coefficient of Discharge

Angle A

The angle A the space between two intersecting lines or surfaces at or close to the point where they meet.

Symbol: ∠A

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Angle A

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

tan

The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle.

Syntax: tan(Angle)

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 Head of Liquid

Go Head of Liquid at Crest

H = {(\frac{Q th}{\frac{2}{3} \cdot C d \cdot L w \cdot \sqrt{2 \cdot [g]}})}^{\frac{2}{3}}

Other formulas in Discharge category

Go Time Required to Empty Reservoir

t a = (\frac{3 \cdot A}{C d \cdot L w \cdot \sqrt{2 \cdot [g]}}) \cdot (\frac{1}{\sqrt{H f}} - \frac{1}{\sqrt{H i}})

Go Time Required to Empty Tank with Triangular Weir or Notch

t a = (\frac{5 \cdot A}{4 \cdot C d \cdot \tan (\frac{∠A}{2}) \cdot \sqrt{2 \cdot [g]}}) \cdot (\frac{1}{{H f}^{\frac{3}{2}}} - \frac{1}{{H i}^{\frac{3}{2}}})

Go Discharge over Rectangle Notch or Weir

Q th = \frac{2}{3} \cdot C d \cdot L w \cdot \sqrt{2 \cdot [g]} \cdot H^{\frac{3}{2}}

Go Discharge over Triangular Notch or Weir

Q th = \frac{8}{15} \cdot C d \cdot \tan (\frac{∠A}{2}) \cdot \sqrt{2 \cdot [g]} \cdot H^{\frac{5}{2}}

How to Evaluate Head of Liquid above V-notch?

Head of Liquid above V-notch evaluator uses Head of Liquid = (Theoretical Discharge/(8/15*Coefficient of Discharge*tan(Angle A/2)*sqrt(2*[g])))^0.4 to evaluate the Head of Liquid, Head of Liquid above V-notch, also known as the "head over the weir," is a measurement used to determine the flow rate of a liquid over a V-notch weir. Head of Liquid is denoted by H symbol.

How to evaluate Head of Liquid above V-notch using this online evaluator? To use this online evaluator for Head of Liquid above V-notch, enter Theoretical Discharge (Q_th), Coefficient of Discharge (C_d) & Angle A (∠A) and hit the calculate button.

FAQs on Head of Liquid above V-notch

What is the formula to find Head of Liquid above V-notch?

The formula of Head of Liquid above V-notch is expressed as Head of Liquid = (Theoretical Discharge/(8/15*Coefficient of Discharge*tan(Angle A/2)*sqrt(2*[g])))^0.4. Here is an example- 3.061541 = (90/(8/15*0.8*tan(2.47836753783148/2)*sqrt(2*[g])))^0.4.

How to calculate Head of Liquid above V-notch?

With Theoretical Discharge (Q_th), Coefficient of Discharge (C_d) & Angle A (∠A) we can find Head of Liquid above V-notch using the formula - Head of Liquid = (Theoretical Discharge/(8/15*Coefficient of Discharge*tan(Angle A/2)*sqrt(2*[g])))^0.4. This formula also uses Gravitational acceleration on Earth constant(s) and , Tangent (tan), Square Root (sqrt) function(s).

What are the other ways to Calculate Head of Liquid?

Here are the different ways to Calculate Head of Liquid-

Head of Liquid=(Theoretical Discharge/(2/3*Coefficient of Discharge*Length of Weir*sqrt(2*[g])))^(2/3)

Can the Head of Liquid above V-notch be negative?

No, the Head of Liquid above V-notch, measured in Length cannot be negative.

Which unit is used to measure Head of Liquid above V-notch?

Head of Liquid above V-notch is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Head of Liquid above V-notch can be measured.

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Head of Liquid above V-notch Formula

​GoHead of Liquid at Crest Formula

Head of Liquid above V-notch Example

Head of Liquid above V-notch Solution

Head of Liquid above V-notch Formula Elements

Other Formulas to find Head of Liquid

Other formulas in Discharge category

How to Evaluate Head of Liquid above V-notch?

FAQs on Head of Liquid above V-notch

Variable Name

GoHead of Liquid at Crest Formula