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Length of Weir Considering Bazin's formula with Velocity of Approach Formula

GoLength of Weir Considering Bazin's formula without Velocity of Approach Formula

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The Length of Notches the of the base of weir through which discharge is taking place. Check FAQs

L n = \frac{Q}{0.405 + \frac{0.003}{l a + h a}} \cdot \sqrt{2 \cdot [g]} \cdot {(l a + h a)}^{\frac{3}{2}}

L_n - Length of Notches?Q - Discharge Weir?l_a - Arc Length of Circle?h_a - Head Due to Velocity of Approach?[g] - Gravitational acceleration on Earth?

Length of Weir Considering Bazin's formula with Velocity of Approach Example

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Here is how the Length of Weir Considering Bazin's formula with Velocity of Approach equation looks like with Values.

Here is how the Length of Weir Considering Bazin's formula with Velocity of Approach equation looks like with Units.

Here is how the Length of Weir Considering Bazin's formula with Velocity of Approach equation looks like.

28507.1822 = \frac{40}{0.405 + \frac{0.003}{15 + 1.2}} \cdot \sqrt{2 \cdot 9.8066} \cdot {(15 + 1.2)}^{\frac{3}{2}}

28507.1822m = \frac{40m³/s}{0.405 + \frac{0.003}{15m + 1.2m}} \cdot \sqrt{2 \cdot 9.8066m/s²} \cdot {(15m + 1.2m)}^{\frac{3}{2}}

28507.1822 = \frac{40}{0.405 + \frac{0.003}{15 + 1.2}} \cdot \sqrt{2 \cdot 9.8066} \cdot {(15 + 1.2)}^{\frac{3}{2}}

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Length of Weir Considering Bazin's formula with Velocity of Approach Solution

Follow our step by step solution on how to calculate Length of Weir Considering Bazin's formula with Velocity of Approach?

FIRST Step Consider the formula

L n = \frac{Q}{0.405 + \frac{0.003}{l a + h a}} \cdot \sqrt{2 \cdot [g]} \cdot {(l a + h a)}^{\frac{3}{2}}

Next Step Substitute values of Variables

∴

L n = \frac{40m³/s}{0.405 + \frac{0.003}{15m + 1.2m}} \cdot \sqrt{2 \cdot [g]} \cdot {(15m + 1.2m)}^{\frac{3}{2}}

Next Step Substitute values of Constants

∴

L n = \frac{40m³/s}{0.405 + \frac{0.003}{15m + 1.2m}} \cdot \sqrt{2 \cdot 9.8066m/s²} \cdot {(15m + 1.2m)}^{\frac{3}{2}}

Next Step Prepare to Evaluate

∴

L n = \frac{40}{0.405 + \frac{0.003}{15 + 1.2}} \cdot \sqrt{2 \cdot 9.8066} \cdot {(15 + 1.2)}^{\frac{3}{2}}

Next Step Evaluate

∴

L n = 28507.1821636779m

LAST Step Rounding Answer

∴

L n = 28507.1822m

Length of Weir Considering Bazin's formula with Velocity of Approach Formula Elements

Variables

Constants

Functions

Length of Notches

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

Symbol: L_n

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Length of Notches

Discharge Weir

Discharge Weir is the rate of flow of a liquid.

Symbol: Q

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

Formulas to find Discharge Weir

Arc Length of Circle

Arc Length of Circle is the length of a piece of curve cut from the circumference of the Circle at particular central angle.

Symbol: l_a

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Arc Length of Circle

Head Due to Velocity of Approach

The Head due to Velocity of Approach is considered as the elevation difference between the two circled points on the surface of the approach flow.

Symbol: h_a

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Head Due to Velocity of Approach

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 Length of Notches

Go Length of Weir Considering Bazin's formula without Velocity of Approach

L n = \frac{Q}{0.405 + \frac{0.003}{l a}} \cdot \sqrt{2 \cdot [g]} \cdot {l a}^{\frac{3}{2}}

Other formulas in Geometric DImension category

Go Length of Section for Discharge over Rectangle Notch or Weir

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

Go Length of Crest of Weir or Notch

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

Go Length of Weir or Notch for Velocity of Approach

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

Go Length of Weir or Notch without Velocity of Approach

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

How to Evaluate Length of Weir Considering Bazin's formula with Velocity of Approach?

Length of Weir Considering Bazin's formula with Velocity of Approach evaluator uses Length of Notches = Discharge Weir/(0.405+0.003/(Arc Length of Circle+Head Due to Velocity of Approach))*sqrt(2*[g])*(Arc Length of Circle+Head Due to Velocity of Approach)^(3/2) to evaluate the Length of Notches, The Length of weir considering Bazin's formula with velocity of approach formula is known while considering the head of the liquid, head due to the velocity approach, and discharge in a rectangular notch or weir with the velocity of approach condition. Length of Notches is denoted by L_n symbol.

How to evaluate Length of Weir Considering Bazin's formula with Velocity of Approach using this online evaluator? To use this online evaluator for Length of Weir Considering Bazin's formula with Velocity of Approach, enter Discharge Weir (Q), Arc Length of Circle (l_a) & Head Due to Velocity of Approach (h_a) and hit the calculate button.

FAQs on Length of Weir Considering Bazin's formula with Velocity of Approach

What is the formula to find Length of Weir Considering Bazin's formula with Velocity of Approach?

The formula of Length of Weir Considering Bazin's formula with Velocity of Approach is expressed as Length of Notches = Discharge Weir/(0.405+0.003/(Arc Length of Circle+Head Due to Velocity of Approach))*sqrt(2*[g])*(Arc Length of Circle+Head Due to Velocity of Approach)^(3/2). Here is an example- 28507.18 = 40/(0.405+0.003/(15+1.2))*sqrt(2*[g])*(15+1.2)^(3/2).

How to calculate Length of Weir Considering Bazin's formula with Velocity of Approach?

With Discharge Weir (Q), Arc Length of Circle (l_a) & Head Due to Velocity of Approach (h_a) we can find Length of Weir Considering Bazin's formula with Velocity of Approach using the formula - Length of Notches = Discharge Weir/(0.405+0.003/(Arc Length of Circle+Head Due to Velocity of Approach))*sqrt(2*[g])*(Arc Length of Circle+Head Due to Velocity of Approach)^(3/2). This formula also uses Gravitational acceleration on Earth constant(s) and Square Root (sqrt) function(s).

What are the other ways to Calculate Length of Notches?

Here are the different ways to Calculate Length of Notches-

Length of Notches=Discharge Weir/(0.405+0.003/Arc Length of Circle)*sqrt(2*[g])*Arc Length of Circle^(3/2)

Can the Length of Weir Considering Bazin's formula with Velocity of Approach be negative?

Yes, the Length of Weir Considering Bazin's formula with Velocity of Approach, measured in Length can be negative.

Which unit is used to measure Length of Weir Considering Bazin's formula with Velocity of Approach?

Length of Weir Considering Bazin's formula with Velocity of Approach is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Length of Weir Considering Bazin's formula with Velocity of Approach can be measured.

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Length of Weir Considering Bazin's formula with Velocity of Approach Formula

​GoLength of Weir Considering Bazin's formula without Velocity of Approach Formula

Length of Weir Considering Bazin's formula with Velocity of Approach Example

Length of Weir Considering Bazin's formula with Velocity of Approach Solution

Length of Weir Considering Bazin's formula with Velocity of Approach Formula Elements

Other Formulas to find Length of Notches

Other formulas in Geometric DImension category

How to Evaluate Length of Weir Considering Bazin's formula with Velocity of Approach?

FAQs on Length of Weir Considering Bazin's formula with Velocity of Approach

Variable Name

GoLength of Weir Considering Bazin's formula without Velocity of Approach Formula