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Length of Crest given Discharge Passing over Weir Formula

GoLength of Crest without considering Velocity Formula

GoLength of Crest considering Velocity 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{Q Fr' \cdot 3}{2 \cdot C d \cdot \sqrt{2 \cdot g} \cdot ({(S w + H V)}^{\frac{3}{2}} - {H V}^{\frac{3}{2}})}

L_w - Length of Weir Crest?Q_Fr' - Francis Discharge with Suppressed End?C_d - Coefficient of Discharge?g - Acceleration due to Gravity?S_w - Height of Water above Crest of Weir?H_V - Velocity Head?

Length of Crest given Discharge Passing over Weir Example

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Here is how the Length of Crest given Discharge Passing over Weir equation looks like with Values.

Here is how the Length of Crest given Discharge Passing over Weir equation looks like with Units.

Here is how the Length of Crest given Discharge Passing over Weir equation looks like.

2.0274 = \frac{28 \cdot 3}{2 \cdot 0.66 \cdot \sqrt{2 \cdot 9.8} \cdot ({(2 + 4.6)}^{\frac{3}{2}} - {4.6}^{\frac{3}{2}})}

2.0274m = \frac{28m³/s \cdot 3}{2 \cdot 0.66 \cdot \sqrt{2 \cdot 9.8m/s²} \cdot ({(2m + 4.6m)}^{\frac{3}{2}} - {4.6m}^{\frac{3}{2}})}

2.0274 = \frac{28 \cdot 3}{2 \cdot 0.66 \cdot \sqrt{2 \cdot 9.8} \cdot ({(2 + 4.6)}^{\frac{3}{2}} - {4.6}^{\frac{3}{2}})}

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Length of Crest given Discharge Passing over Weir Solution

Follow our step by step solution on how to calculate Length of Crest given Discharge Passing over Weir?

FIRST Step Consider the formula

L w = \frac{Q Fr' \cdot 3}{2 \cdot C d \cdot \sqrt{2 \cdot g} \cdot ({(S w + H V)}^{\frac{3}{2}} - {H V}^{\frac{3}{2}})}

Next Step Substitute values of Variables

∴

L w = \frac{28m³/s \cdot 3}{2 \cdot 0.66 \cdot \sqrt{2 \cdot 9.8m/s²} \cdot ({(2m + 4.6m)}^{\frac{3}{2}} - {4.6m}^{\frac{3}{2}})}

Next Step Prepare to Evaluate

∴

L w = \frac{28 \cdot 3}{2 \cdot 0.66 \cdot \sqrt{2 \cdot 9.8} \cdot ({(2 + 4.6)}^{\frac{3}{2}} - {4.6}^{\frac{3}{2}})}

Next Step Evaluate

∴

L w = 2.02741641949778m

LAST Step Rounding Answer

∴

L w = 2.0274m

Length of Crest given Discharge Passing over 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

Francis Discharge with Suppressed End

Francis Discharge with Suppressed End is discharge of flow without the end contraction.

Symbol: Q_Fr'

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Francis Discharge with Suppressed End

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

Height of Water above Crest of Weir

Height of Water above Crest of Weir is defined as the water surface height above crest.

Symbol: S_w

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Water above Crest of Weir

Velocity Head

Velocity Head is represented in the term of length unit, also referred to as kinetic head represents the kinetic energy of the fluid.

Symbol: H_V

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Velocity Head

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 without considering Velocity

L w = {(\frac{Q Fr \cdot 2}{3 \cdot C d \cdot \sqrt{2 \cdot g}})}^{\frac{2}{3}} + (0.1 \cdot n \cdot S w)

Go Length of Crest considering Velocity

L w = (\frac{3 \cdot Q Fr'}{2 \cdot C d \cdot \sqrt{2 \cdot g} \cdot ({H Stillwater}^{\frac{3}{2}} - {H V}^{\frac{3}{2}})}) + (0.1 \cdot n \cdot H Stillwater)

Go Length of Crest when Francis Formula Discharge and Velocity is not considered

L w = (\frac{Q Fr}{1.84 \cdot {S w}^{\frac{3}{2}}}) + (0.1 \cdot n \cdot S w)

Go Length of Crest when Francis Formula Discharge and Velocity is considered

L w = (\frac{Q Fr}{1.84 \cdot ({H Stillwater}^{\frac{3}{2}} - {H V}^{\frac{3}{2}})}) + (0.1 \cdot n \cdot H Stillwater)

How to Evaluate Length of Crest given Discharge Passing over Weir?

Length of Crest given Discharge Passing over Weir evaluator uses Length of Weir Crest = (Francis Discharge with Suppressed End*3)/(2*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*((Height of Water above Crest of Weir+Velocity Head)^(3/2)-Velocity Head^(3/2))) to evaluate the Length of Weir Crest, Length of Crest given Discharge Passing over Weir as it applies to area of reclamation can be defined as ' distance, measured along axis. Length of Weir Crest is denoted by L_w symbol.

How to evaluate Length of Crest given Discharge Passing over Weir using this online evaluator? To use this online evaluator for Length of Crest given Discharge Passing over Weir, enter Francis Discharge with Suppressed End (Q_Fr'), Coefficient of Discharge (C_d), Acceleration due to Gravity (g), Height of Water above Crest of Weir (S_w) & Velocity Head (H_V) and hit the calculate button.

FAQs on Length of Crest given Discharge Passing over Weir

What is the formula to find Length of Crest given Discharge Passing over Weir?

The formula of Length of Crest given Discharge Passing over Weir is expressed as Length of Weir Crest = (Francis Discharge with Suppressed End*3)/(2*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*((Height of Water above Crest of Weir+Velocity Head)^(3/2)-Velocity Head^(3/2))). Here is an example- 2.027416 = (28*3)/(2*0.66*sqrt(2*9.8)*((2+4.6)^(3/2)-4.6^(3/2))).

How to calculate Length of Crest given Discharge Passing over Weir?

With Francis Discharge with Suppressed End (Q_Fr'), Coefficient of Discharge (C_d), Acceleration due to Gravity (g), Height of Water above Crest of Weir (S_w) & Velocity Head (H_V) we can find Length of Crest given Discharge Passing over Weir using the formula - Length of Weir Crest = (Francis Discharge with Suppressed End*3)/(2*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*((Height of Water above Crest of Weir+Velocity Head)^(3/2)-Velocity Head^(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=((Francis Discharge*2)/(3*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)))^(2/3)+(0.1*Number of End Contraction*Height of Water above Crest of Weir)
Length of Weir Crest=((3*Francis Discharge with Suppressed End)/(2*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*(Still Water Head^(3/2)-Velocity Head^(3/2))))+(0.1*Number of End Contraction*Still Water Head)
Length of Weir Crest=(Francis Discharge/(1.84*Height of Water above Crest of Weir^(3/2)))+(0.1*Number of End Contraction*Height of Water above Crest of Weir)

Can the Length of Crest given Discharge Passing over Weir be negative?

No, the Length of Crest given Discharge Passing over Weir, measured in Length cannot be negative.

Which unit is used to measure Length of Crest given Discharge Passing over Weir?

Length of Crest given Discharge Passing over 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 given Discharge Passing over Weir can be measured.

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Length of Crest given Discharge Passing over Weir Formula

​GoLength of Crest without considering Velocity Formula

​GoLength of Crest considering Velocity Formula

Length of Crest given Discharge Passing over Weir Example

Length of Crest given Discharge Passing over Weir Solution

Length of Crest given Discharge Passing over Weir Formula Elements

Other Formulas to find Length of Weir Crest

How to Evaluate Length of Crest given Discharge Passing over Weir?

FAQs on Length of Crest given Discharge Passing over Weir

Variable Name

GoLength of Crest without considering Velocity Formula

GoLength of Crest considering Velocity Formula