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Length of Weir or Notch without Velocity of Approach Formula

GoLength of Section for Discharge over Rectangle Notch or Weir Formula

GoLength of Crest of Weir or Notch Formula

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

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

L_w - Length of Weir?Q - Discharge Weir?C_d - Coefficient of Discharge?H_i - Initial Height of Liquid?[g] - Gravitational acceleration on Earth?

Length of Weir or Notch without Velocity of Approach Example

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Here is how the Length of Weir or Notch without Velocity of Approach equation looks like with Values.

Here is how the Length of Weir or Notch without Velocity of Approach equation looks like with Units.

Here is how the Length of Weir or Notch without Velocity of Approach equation looks like.

0.0067 = \frac{40}{\frac{2}{3} \cdot 0.8 \cdot \sqrt{2 \cdot 9.8066} \cdot {186.1}^{\frac{3}{2}}}

0.0067m = \frac{40m³/s}{\frac{2}{3} \cdot 0.8 \cdot \sqrt{2 \cdot 9.8066m/s²} \cdot {186.1m}^{\frac{3}{2}}}

0.0067 = \frac{40}{\frac{2}{3} \cdot 0.8 \cdot \sqrt{2 \cdot 9.8066} \cdot {186.1}^{\frac{3}{2}}}

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Length of Weir or Notch without Velocity of Approach Solution

Follow our step by step solution on how to calculate Length of Weir or Notch without Velocity of Approach?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

L w = \frac{40m³/s}{\frac{2}{3} \cdot 0.8 \cdot \sqrt{2 \cdot [g]} \cdot {186.1m}^{\frac{3}{2}}}

Next Step Substitute values of Constants

∴

L w = \frac{40m³/s}{\frac{2}{3} \cdot 0.8 \cdot \sqrt{2 \cdot 9.8066m/s²} \cdot {186.1m}^{\frac{3}{2}}}

Next Step Prepare to Evaluate

∴

L w = \frac{40}{\frac{2}{3} \cdot 0.8 \cdot \sqrt{2 \cdot 9.8066} \cdot {186.1}^{\frac{3}{2}}}

Next Step Evaluate

∴

L w = 0.00667062256248919m

LAST Step Rounding Answer

∴

L w = 0.0067m

Length of Weir or Notch without Velocity of Approach Formula Elements

Variables

Constants

Functions

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

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

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

Initial Height of Liquid

The Initial height of liquid is a variable from the tank emptying through an orifice at its bottom.

Symbol: H_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Initial Height of Liquid

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 Weir

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 Considering Francis's formula

L w = \frac{Q}{1.84 \cdot ({(H i + h a)}^{\frac{3}{2}} - {h a}^{\frac{3}{2}})}

Other formulas in Geometric DImension category

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}}

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

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}}

How to Evaluate Length of Weir or Notch without Velocity of Approach?

Length of Weir or Notch without Velocity of Approach evaluator uses Length of Weir = Discharge Weir/(2/3*Coefficient of Discharge*sqrt(2*[g])*Initial Height of Liquid^(3/2)) to evaluate the Length of Weir, Length of Weir or Notch without Velocity of Approach refers to the horizontal distance along the crest of the weir. It is an important parameter in calculating the discharge over a weir. Length of Weir is denoted by L_w symbol.

How to evaluate Length of Weir or Notch without Velocity of Approach using this online evaluator? To use this online evaluator for Length of Weir or Notch without Velocity of Approach, enter Discharge Weir (Q), Coefficient of Discharge (C_d) & Initial Height of Liquid (H_i) and hit the calculate button.

FAQs on Length of Weir or Notch without Velocity of Approach

What is the formula to find Length of Weir or Notch without Velocity of Approach?

The formula of Length of Weir or Notch without Velocity of Approach is expressed as Length of Weir = Discharge Weir/(2/3*Coefficient of Discharge*sqrt(2*[g])*Initial Height of Liquid^(3/2)). Here is an example- 0.006671 = 40/(2/3*0.8*sqrt(2*[g])*186.1^(3/2)).

How to calculate Length of Weir or Notch without Velocity of Approach?

With Discharge Weir (Q), Coefficient of Discharge (C_d) & Initial Height of Liquid (H_i) we can find Length of Weir or Notch without Velocity of Approach using the formula - Length of Weir = Discharge Weir/(2/3*Coefficient of Discharge*sqrt(2*[g])*Initial Height of Liquid^(3/2)). This formula also uses Gravitational acceleration on Earth constant(s) and Square Root Function function(s).

What are the other ways to Calculate Length of Weir?

Here are the different ways to Calculate Length of Weir-

Length of Weir=Theoretical Discharge/(2/3*Coefficient of Discharge*sqrt(2*[g])*Arc Length of Circle^(3/2))
Length of Weir=(3*Area of Weir)/(Coefficient of Discharge*Total Time Taken*sqrt(2*[g]))*(1/sqrt(Final Height of Liquid)-1/sqrt(Initial Height of Liquid))
Length of Weir=Discharge Weir/(2/3*Coefficient of Discharge*sqrt(2*[g])*((Initial Height of Liquid+Final Height of Liquid)^(3/2)-Final Height of Liquid^(3/2)))

Can the Length of Weir or Notch without Velocity of Approach be negative?

Yes, the Length of Weir or Notch without Velocity of Approach, measured in Length can be negative.

Which unit is used to measure Length of Weir or Notch without Velocity of Approach?

Length of Weir or Notch without 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 or Notch without Velocity of Approach can be measured.

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