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Length of Crest for Discharge through Free Weir Formula

GoLength of Crest for Discharge through Free Weir Portion Formula

GoLength of Crest for Discharge through Drowned Portion Formula

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Length of Weir Crest is the measurement or extent of Weir Crest from end to end. Check FAQs

L w = \frac{3 \cdot Q 1}{2 \cdot C d \cdot \sqrt{2 \cdot g} \cdot ({((H Upstream - h 2) + (\frac{{v su}^{2}}{2 \cdot g}))}^{\frac{3}{2}} - {(\frac{{v su}^{2}}{2 \cdot g})}^{\frac{3}{2}})}

L_w - Length of Weir Crest?Q₁ - Discharge through Free Portion?C_d - Coefficient of Discharge?g - Acceleration due to Gravity?H_Upstream - Head on Upstream of Weir?h₂ - Head on Downstream of Weir?v_su - Velocity over Submerged Weir?

Length of Crest for Discharge through Free Weir Example

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Here is how the Length of Crest for Discharge through Free Weir equation looks like with Values.

Here is how the Length of Crest for Discharge through Free Weir equation looks like with Units.

Here is how the Length of Crest for Discharge through Free Weir equation looks like.

1.9218 = \frac{3 \cdot 50.1}{2 \cdot 0.66 \cdot \sqrt{2 \cdot 9.8} \cdot ({((10.1 - 5.1) + (\frac{{4.1}^{2}}{2 \cdot 9.8}))}^{\frac{3}{2}} - {(\frac{{4.1}^{2}}{2 \cdot 9.8})}^{\frac{3}{2}})}

1.9218m = \frac{3 \cdot 50.1m³/s}{2 \cdot 0.66 \cdot \sqrt{2 \cdot 9.8m/s²} \cdot ({((10.1m - 5.1m) + (\frac{{4.1m/s}^{2}}{2 \cdot 9.8m/s²}))}^{\frac{3}{2}} - {(\frac{{4.1m/s}^{2}}{2 \cdot 9.8m/s²})}^{\frac{3}{2}})}

1.9218 = \frac{3 \cdot 50.1}{2 \cdot 0.66 \cdot \sqrt{2 \cdot 9.8} \cdot ({((10.1 - 5.1) + (\frac{{4.1}^{2}}{2 \cdot 9.8}))}^{\frac{3}{2}} - {(\frac{{4.1}^{2}}{2 \cdot 9.8})}^{\frac{3}{2}})}

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Length of Crest for Discharge through Free Weir Solution

Follow our step by step solution on how to calculate Length of Crest for Discharge through Free Weir?

FIRST Step Consider the formula

L w = \frac{3 \cdot Q 1}{2 \cdot C d \cdot \sqrt{2 \cdot g} \cdot ({((H Upstream - h 2) + (\frac{{v su}^{2}}{2 \cdot g}))}^{\frac{3}{2}} - {(\frac{{v su}^{2}}{2 \cdot g})}^{\frac{3}{2}})}

Next Step Substitute values of Variables

∴

L w = \frac{3 \cdot 50.1m³/s}{2 \cdot 0.66 \cdot \sqrt{2 \cdot 9.8m/s²} \cdot ({((10.1m - 5.1m) + (\frac{{4.1m/s}^{2}}{2 \cdot 9.8m/s²}))}^{\frac{3}{2}} - {(\frac{{4.1m/s}^{2}}{2 \cdot 9.8m/s²})}^{\frac{3}{2}})}

Next Step Prepare to Evaluate

∴

L w = \frac{3 \cdot 50.1}{2 \cdot 0.66 \cdot \sqrt{2 \cdot 9.8} \cdot ({((10.1 - 5.1) + (\frac{{4.1}^{2}}{2 \cdot 9.8}))}^{\frac{3}{2}} - {(\frac{{4.1}^{2}}{2 \cdot 9.8})}^{\frac{3}{2}})}

Next Step Evaluate

∴

L w = 1.92181270567269m

LAST Step Rounding Answer

∴

L w = 1.9218m

Length of Crest for Discharge through Free Weir Formula Elements

Variables

Functions

Length of Weir Crest

Length of Weir Crest is the measurement or extent of Weir Crest from end to end.

Symbol: L_w

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Weir Crest

Discharge through Free Portion

Discharge through Free Portion is a measure of the quantity of fluid flow over unit time, representing the quantity in between the upstream and downstream portion.

Symbol: Q₁

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

Formulas to find Discharge through Free Portion

Coefficient of Discharge

The Coefficient of Discharge is ratio of actual discharge to theoretical discharge.

Symbol: C_d

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.2.

Formulas to find Coefficient of Discharge

Acceleration due to Gravity

The Acceleration due to Gravity is acceleration gained by an object because of gravitational force.

Symbol: g

Measurement: AccelerationUnit: m/s²

Note: Value should be greater than 0.

Formulas to find Acceleration due to Gravity

Head on Upstream of Weir

Head on Upstream of Weirr pertains to the energy status of water in water flow systems and is useful for describing flow in hydraulic structures.

Symbol: H_Upstream

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Head on Upstream of Weir

Head on Downstream of Weir

Head on Downstream of Weir pertains to the energy status of water in water flow systems and is useful for describing flow in hydraulic structures.

Symbol: h₂

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Head on Downstream of Weir

Velocity over Submerged Weir

Velocity over Submerged Weir is the rate of change of the position of an object with respect to time.

Symbol: v_su

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Velocity over Submerged Weir

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 Crest

Go Length of Crest for Discharge through Free Weir Portion

L w = \frac{3 \cdot Q 1}{2 \cdot C d \cdot \sqrt{2 \cdot g} \cdot {(H Upstream - h 2)}^{\frac{3}{2}}}

Go Length of Crest for Discharge through Drowned Portion

L w = \frac{Q 2}{C d \cdot h 2 \cdot (\sqrt{2 \cdot g \cdot (H Upstream - h 2) + {v su}^{2}})}

Other formulas in Submerged Weirs category

Go Discharge through Free Weir Portion

Q 1 = (\frac{2}{3}) \cdot C d \cdot L w \cdot \sqrt{2 \cdot g} \cdot {(H Upstream - h 2)}^{\frac{3}{2}}

Go Coefficient of Discharge given Discharge through Free Weir Portion

C d = \frac{3 \cdot Q 1}{2 \cdot L w \cdot \sqrt{2 \cdot g} \cdot {(H Upstream - h 2)}^{\frac{3}{2}}}

How to Evaluate Length of Crest for Discharge through Free Weir?

Length of Crest for Discharge through Free Weir evaluator uses Length of Weir Crest = (3*Discharge through Free Portion)/(2*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*(((Head on Upstream of Weir-Head on Downstream of Weir)+(Velocity over Submerged Weir^2/(2*Acceleration due to Gravity)))^(3/2)-(Velocity over Submerged Weir^2/(2*Acceleration due to Gravity))^(3/2))) to evaluate the Length of Weir Crest, The Length of crest for discharge through free weir if velocity is approached as it applies to the area of reclamation can be defined as the distance, measured along the axis. Length of Weir Crest is denoted by L_w symbol.

How to evaluate Length of Crest for Discharge through Free Weir using this online evaluator? To use this online evaluator for Length of Crest for Discharge through Free Weir, enter Discharge through Free Portion (Q₁), Coefficient of Discharge (C_d), Acceleration due to Gravity (g), Head on Upstream of Weir (H_Upstream), Head on Downstream of Weir (h₂) & Velocity over Submerged Weir (v_su) and hit the calculate button.

FAQs on Length of Crest for Discharge through Free Weir

What is the formula to find Length of Crest for Discharge through Free Weir?

The formula of Length of Crest for Discharge through Free Weir is expressed as Length of Weir Crest = (3*Discharge through Free Portion)/(2*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*(((Head on Upstream of Weir-Head on Downstream of Weir)+(Velocity over Submerged Weir^2/(2*Acceleration due to Gravity)))^(3/2)-(Velocity over Submerged Weir^2/(2*Acceleration due to Gravity))^(3/2))). Here is an example- 1.921813 = (3*50.1)/(2*0.66*sqrt(2*9.8)*(((10.1-5.1)+(4.1^2/(2*9.8)))^(3/2)-(4.1^2/(2*9.8))^(3/2))).

How to calculate Length of Crest for Discharge through Free Weir?

With Discharge through Free Portion (Q₁), Coefficient of Discharge (C_d), Acceleration due to Gravity (g), Head on Upstream of Weir (H_Upstream), Head on Downstream of Weir (h₂) & Velocity over Submerged Weir (v_su) we can find Length of Crest for Discharge through Free Weir using the formula - Length of Weir Crest = (3*Discharge through Free Portion)/(2*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*(((Head on Upstream of Weir-Head on Downstream of Weir)+(Velocity over Submerged Weir^2/(2*Acceleration due to Gravity)))^(3/2)-(Velocity over Submerged Weir^2/(2*Acceleration due to Gravity))^(3/2))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Length of Weir Crest?

Here are the different ways to Calculate Length of Weir Crest-

Length of Weir Crest=(3*Discharge through Free Portion)/(2*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*(Head on Upstream of Weir-Head on Downstream of Weir)^(3/2))
Length of Weir Crest=Discharge through Drowned Portion/(Coefficient of Discharge*Head on Downstream of Weir*(sqrt(2*Acceleration due to Gravity*(Head on Upstream of Weir-Head on Downstream of Weir)+Velocity over Submerged Weir^2)))

Can the Length of Crest for Discharge through Free Weir be negative?

No, the Length of Crest for Discharge through Free Weir, measured in Length cannot be negative.

Which unit is used to measure Length of Crest for Discharge through Free Weir?

Length of Crest for Discharge through Free 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 Crest for Discharge through Free Weir can be measured.

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Length of Crest for Discharge through Free Weir Formula

​GoLength of Crest for Discharge through Free Weir Portion Formula

​GoLength of Crest for Discharge through Drowned Portion Formula

Length of Crest for Discharge through Free Weir Example

Length of Crest for Discharge through Free Weir Solution

Length of Crest for Discharge through Free Weir Formula Elements

Other Formulas to find Length of Weir Crest

Other formulas in Submerged Weirs category

How to Evaluate Length of Crest for Discharge through Free Weir?

FAQs on Length of Crest for Discharge through Free Weir

Variable Name

GoLength of Crest for Discharge through Free Weir Portion Formula

GoLength of Crest for Discharge through Drowned Portion Formula