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Length of Section for Discharge over Rectangle Notch or Weir Formula

GoLength of Crest of Weir or Notch Formula

GoLength of Weir or Notch for Velocity of Approach 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 th}{\frac{2}{3} \cdot C d \cdot \sqrt{2 \cdot [g]} \cdot {l a}^{\frac{3}{2}}}

L_w - Length of Weir?Q_th - Theoretical Discharge?C_d - Coefficient of Discharge?l_a - Arc Length of Circle?[g] - Gravitational acceleration on Earth?

Length of Section for Discharge over Rectangle Notch or Weir Example

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Here is how the Length of Section for Discharge over Rectangle Notch or Weir equation looks like with Values.

Here is how the Length of Section for Discharge over Rectangle Notch or Weir equation looks like with Units.

Here is how the Length of Section for Discharge over Rectangle Notch or Weir equation looks like.

0.6559 = \frac{90}{\frac{2}{3} \cdot 0.8 \cdot \sqrt{2 \cdot 9.8066} \cdot 15^{\frac{3}{2}}}

0.6559m = \frac{90m³/s}{\frac{2}{3} \cdot 0.8 \cdot \sqrt{2 \cdot 9.8066m/s²} \cdot {15m}^{\frac{3}{2}}}

0.6559 = \frac{90}{\frac{2}{3} \cdot 0.8 \cdot \sqrt{2 \cdot 9.8066} \cdot 15^{\frac{3}{2}}}

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Length of Section for Discharge over Rectangle Notch or Weir Solution

Follow our step by step solution on how to calculate Length of Section for Discharge over Rectangle Notch or Weir?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

L w = \frac{90m³/s}{\frac{2}{3} \cdot 0.8 \cdot \sqrt{2 \cdot [g]} \cdot {15m}^{\frac{3}{2}}}

Next Step Substitute values of Constants

∴

L w = \frac{90m³/s}{\frac{2}{3} \cdot 0.8 \cdot \sqrt{2 \cdot 9.8066m/s²} \cdot {15m}^{\frac{3}{2}}}

Next Step Prepare to Evaluate

∴

L w = \frac{90}{\frac{2}{3} \cdot 0.8 \cdot \sqrt{2 \cdot 9.8066} \cdot 15^{\frac{3}{2}}}

Next Step Evaluate

∴

L w = 0.655890827310509m

LAST Step Rounding Answer

∴

L w = 0.6559m

Length of Section for Discharge over Rectangle Notch or Weir 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

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

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

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 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}}}

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 Section for Discharge over Rectangle Notch or Weir?

Length of Section for Discharge over Rectangle Notch or Weir evaluator uses Length of Weir = Theoretical Discharge/(2/3*Coefficient of Discharge*sqrt(2*[g])*Arc Length of Circle^(3/2)) to evaluate the Length of Weir, Length of Section for Discharge over Rectangle Notch or Weir refers to the horizontal distance of the rectangular opening through which the liquid flows. It represents the width of the notch or weir. Length of Weir is denoted by L_w symbol.

How to evaluate Length of Section for Discharge over Rectangle Notch or Weir using this online evaluator? To use this online evaluator for Length of Section for Discharge over Rectangle Notch or Weir, enter Theoretical Discharge (Q_th), Coefficient of Discharge (C_d) & Arc Length of Circle (l_a) and hit the calculate button.

FAQs on Length of Section for Discharge over Rectangle Notch or Weir

What is the formula to find Length of Section for Discharge over Rectangle Notch or Weir?

The formula of Length of Section for Discharge over Rectangle Notch or Weir is expressed as Length of Weir = Theoretical Discharge/(2/3*Coefficient of Discharge*sqrt(2*[g])*Arc Length of Circle^(3/2)). Here is an example- 0.655891 = 90/(2/3*0.8*sqrt(2*[g])*15^(3/2)).

How to calculate Length of Section for Discharge over Rectangle Notch or Weir?

With Theoretical Discharge (Q_th), Coefficient of Discharge (C_d) & Arc Length of Circle (l_a) we can find Length of Section for Discharge over Rectangle Notch or Weir using the formula - Length of Weir = Theoretical Discharge/(2/3*Coefficient of Discharge*sqrt(2*[g])*Arc Length of Circle^(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 Weir?

Here are the different ways to Calculate Length of Weir-

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

Can the Length of Section for Discharge over Rectangle Notch or Weir be negative?

Yes, the Length of Section for Discharge over Rectangle Notch or Weir, measured in Length can be negative.

Which unit is used to measure Length of Section for Discharge over Rectangle Notch or Weir?

Length of Section for Discharge over Rectangle Notch or Weir is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Length of Section for Discharge over Rectangle Notch or Weir can be measured.

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Length of Section for Discharge over Rectangle Notch or Weir Formula

​GoLength of Crest of Weir or Notch Formula

​GoLength of Weir or Notch for Velocity of Approach Formula

Length of Section for Discharge over Rectangle Notch or Weir Example

Length of Section for Discharge over Rectangle Notch or Weir Solution

Length of Section for Discharge over Rectangle Notch or Weir Formula Elements

Other Formulas to find Length of Weir

Other formulas in Geometric DImension category

How to Evaluate Length of Section for Discharge over Rectangle Notch or Weir?

FAQs on Length of Section for Discharge over Rectangle Notch or Weir

Variable Name

GoLength of Crest of Weir or Notch Formula

GoLength of Weir or Notch for Velocity of Approach Formula