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Length of Weir for Broad-Crested Weir and Head of Liquid at Middle 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}{C d \cdot \sqrt{2 \cdot [g] \cdot (h^{2} \cdot l a - h^{3})}}

L_w - Length of Weir?Q - Discharge Weir?C_d - Coefficient of Discharge?h - Head of Liquid Middle?l_a - Arc Length of Circle?[g] - Gravitational acceleration on Earth?

Length of Weir for Broad-Crested Weir and Head of Liquid at Middle Example

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Here is how the Length of Weir for Broad-Crested Weir and Head of Liquid at Middle equation looks like with Values.

Here is how the Length of Weir for Broad-Crested Weir and Head of Liquid at Middle equation looks like with Units.

Here is how the Length of Weir for Broad-Crested Weir and Head of Liquid at Middle equation looks like.

0.5121 = \frac{40}{0.8 \cdot \sqrt{2 \cdot 9.8066 \cdot (9^{2} \cdot 15 - 9^{3})}}

0.5121m = \frac{40m³/s}{0.8 \cdot \sqrt{2 \cdot 9.8066m/s² \cdot ({9m}^{2} \cdot 15m - {9m}^{3})}}

0.5121 = \frac{40}{0.8 \cdot \sqrt{2 \cdot 9.8066 \cdot (9^{2} \cdot 15 - 9^{3})}}

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Length of Weir for Broad-Crested Weir and Head of Liquid at Middle Solution

Follow our step by step solution on how to calculate Length of Weir for Broad-Crested Weir and Head of Liquid at Middle?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

L w = \frac{40m³/s}{0.8 \cdot \sqrt{2 \cdot [g] \cdot ({9m}^{2} \cdot 15m - {9m}^{3})}}

Next Step Substitute values of Constants

∴

L w = \frac{40m³/s}{0.8 \cdot \sqrt{2 \cdot 9.8066m/s² \cdot ({9m}^{2} \cdot 15m - {9m}^{3})}}

Next Step Prepare to Evaluate

∴

L w = \frac{40}{0.8 \cdot \sqrt{2 \cdot 9.8066 \cdot (9^{2} \cdot 15 - 9^{3})}}

Next Step Evaluate

∴

L w = 0.512125656966266m

LAST Step Rounding Answer

∴

L w = 0.5121m

Length of Weir for Broad-Crested Weir and Head of Liquid at Middle 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

Head of Liquid Middle

The Head of Liquid Middle of weir which is a constant is considered in the broad-crested weir.

Symbol: h

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Head of Liquid Middle

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 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}}}

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 for Broad-Crested Weir and Head of Liquid at Middle?

Length of Weir for Broad-Crested Weir and Head of Liquid at Middle evaluator uses Length of Weir = Discharge Weir/(Coefficient of Discharge*sqrt(2*[g]*(Head of Liquid Middle^2*Arc Length of Circle-Head of Liquid Middle^3))) to evaluate the Length of Weir, The Length of weir for broad-crested weir and head of liquid at middle formula is known by considering the coefficient of discharge, discharge over the broad-crested weir, and the head of liquid without the velocity approach. Length of Weir is denoted by L_w symbol.

How to evaluate Length of Weir for Broad-Crested Weir and Head of Liquid at Middle using this online evaluator? To use this online evaluator for Length of Weir for Broad-Crested Weir and Head of Liquid at Middle, enter Discharge Weir (Q), Coefficient of Discharge (C_d), Head of Liquid Middle (h) & Arc Length of Circle (l_a) and hit the calculate button.

FAQs on Length of Weir for Broad-Crested Weir and Head of Liquid at Middle

What is the formula to find Length of Weir for Broad-Crested Weir and Head of Liquid at Middle?

The formula of Length of Weir for Broad-Crested Weir and Head of Liquid at Middle is expressed as Length of Weir = Discharge Weir/(Coefficient of Discharge*sqrt(2*[g]*(Head of Liquid Middle^2*Arc Length of Circle-Head of Liquid Middle^3))). Here is an example- 0.512126 = 40/(0.8*sqrt(2*[g]*(9^2*15-9^3))).

How to calculate Length of Weir for Broad-Crested Weir and Head of Liquid at Middle?

With Discharge Weir (Q), Coefficient of Discharge (C_d), Head of Liquid Middle (h) & Arc Length of Circle (l_a) we can find Length of Weir for Broad-Crested Weir and Head of Liquid at Middle using the formula - Length of Weir = Discharge Weir/(Coefficient of Discharge*sqrt(2*[g]*(Head of Liquid Middle^2*Arc Length of Circle-Head of Liquid Middle^3))). 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=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 for Broad-Crested Weir and Head of Liquid at Middle be negative?

Yes, the Length of Weir for Broad-Crested Weir and Head of Liquid at Middle, measured in Length can be negative.

Which unit is used to measure Length of Weir for Broad-Crested Weir and Head of Liquid at Middle?

Length of Weir for Broad-Crested Weir and Head of Liquid at Middle 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 for Broad-Crested Weir and Head of Liquid at Middle can be measured.

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Length of Weir for Broad-Crested Weir and Head of Liquid at Middle Formula

​GoLength of Section for Discharge over Rectangle Notch or Weir Formula

​GoLength of Crest of Weir or Notch Formula

Length of Weir for Broad-Crested Weir and Head of Liquid at Middle Example

Length of Weir for Broad-Crested Weir and Head of Liquid at Middle Solution

Length of Weir for Broad-Crested Weir and Head of Liquid at Middle Formula Elements

Other Formulas to find Length of Weir

Other formulas in Geometric DImension category

How to Evaluate Length of Weir for Broad-Crested Weir and Head of Liquid at Middle?

FAQs on Length of Weir for Broad-Crested Weir and Head of Liquid at Middle

Variable Name

GoLength of Section for Discharge over Rectangle Notch or Weir Formula

GoLength of Crest of Weir or Notch Formula