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Head of Liquid at Crest Formula

GoHead of Liquid above V-notch 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{2}{3} \cdot C d \cdot L w \cdot \sqrt{2 \cdot [g]}})}^{\frac{2}{3}}

H - Head of Liquid?Q_th - Theoretical Discharge?C_d - Coefficient of Discharge?L_w - Length of Weir?[g] - Gravitational acceleration on Earth?

Head of Liquid at Crest Example

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Here is how the Head of Liquid at Crest equation looks like with Values.

Here is how the Head of Liquid at Crest equation looks like with Units.

Here is how the Head of Liquid at Crest equation looks like.

1.3244 = {(\frac{90}{\frac{2}{3} \cdot 0.8 \cdot 25 \cdot \sqrt{2 \cdot 9.8066}})}^{\frac{2}{3}}

1.3244m = {(\frac{90m³/s}{\frac{2}{3} \cdot 0.8 \cdot 25m \cdot \sqrt{2 \cdot 9.8066m/s²}})}^{\frac{2}{3}}

1.3244 = {(\frac{90}{\frac{2}{3} \cdot 0.8 \cdot 25 \cdot \sqrt{2 \cdot 9.8066}})}^{\frac{2}{3}}

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Head of Liquid at Crest Solution

Follow our step by step solution on how to calculate Head of Liquid at Crest?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

H = {(\frac{90m³/s}{\frac{2}{3} \cdot 0.8 \cdot 25m \cdot \sqrt{2 \cdot [g]}})}^{\frac{2}{3}}

Next Step Substitute values of Constants

∴

H = {(\frac{90m³/s}{\frac{2}{3} \cdot 0.8 \cdot 25m \cdot \sqrt{2 \cdot 9.8066m/s²}})}^{\frac{2}{3}}

Next Step Prepare to Evaluate

∴

H = {(\frac{90}{\frac{2}{3} \cdot 0.8 \cdot 25 \cdot \sqrt{2 \cdot 9.8066}})}^{\frac{2}{3}}

Next Step Evaluate

∴

H = 1.3243993475815m

LAST Step Rounding Answer

∴

H = 1.3244m

Head of Liquid at Crest 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

Length of Weir

The Length of Weir is the of the base of weir through which discharge is taking place.

Symbol: L_w

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Length of Weir

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

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 above V-notch

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

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 at Crest?

Head of Liquid at Crest evaluator uses Head of Liquid = (Theoretical Discharge/(2/3*Coefficient of Discharge*Length of Weir*sqrt(2*[g])))^(2/3) to evaluate the Head of Liquid, Head of Liquid at Crest of a weir refers to the vertical distance between the water level upstream of the weir and the crest of the weir itself. It is a crucial measurement used to determine the flow rate over the weir. Head of Liquid is denoted by H symbol.

How to evaluate Head of Liquid at Crest using this online evaluator? To use this online evaluator for Head of Liquid at Crest, enter Theoretical Discharge (Q_th), Coefficient of Discharge (C_d) & Length of Weir (L_w) and hit the calculate button.

FAQs on Head of Liquid at Crest

What is the formula to find Head of Liquid at Crest?

The formula of Head of Liquid at Crest is expressed as Head of Liquid = (Theoretical Discharge/(2/3*Coefficient of Discharge*Length of Weir*sqrt(2*[g])))^(2/3). Here is an example- 1.324399 = (90/(2/3*0.8*25*sqrt(2*[g])))^(2/3).

How to calculate Head of Liquid at Crest?

With Theoretical Discharge (Q_th), Coefficient of Discharge (C_d) & Length of Weir (L_w) we can find Head of Liquid at Crest using the formula - Head of Liquid = (Theoretical Discharge/(2/3*Coefficient of Discharge*Length of Weir*sqrt(2*[g])))^(2/3). This formula also uses Gravitational acceleration on Earth constant(s) and 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/(8/15*Coefficient of Discharge*tan(Angle A/2)*sqrt(2*[g])))^0.4

Can the Head of Liquid at Crest be negative?

No, the Head of Liquid at Crest, measured in Length cannot be negative.

Which unit is used to measure Head of Liquid at Crest?

Head of Liquid at Crest 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 at Crest can be measured.

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Head of Liquid at Crest Formula

​GoHead of Liquid above V-notch Formula

Head of Liquid at Crest Example

Head of Liquid at Crest Solution

Head of Liquid at Crest Formula Elements

Other Formulas to find Head of Liquid

Other formulas in Discharge category

How to Evaluate Head of Liquid at Crest?

FAQs on Head of Liquid at Crest

Variable Name

GoHead of Liquid above V-notch Formula