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Length of Crest without considering Velocity Formula

GoLength of Crest given Discharge Passing over Weir 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 2}{3 \cdot C d \cdot \sqrt{2 \cdot g}})}^{\frac{2}{3}} + (0.1 \cdot n \cdot S w)

L_w - Length of Weir Crest?Q_Fr - Francis Discharge?C_d - Coefficient of Discharge?g - Acceleration due to Gravity?n - Number of End Contraction?S_w - Height of Water above Crest of Weir?

Length of Crest without considering Velocity Example

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Here is how the Length of Crest without considering Velocity equation looks like with Values.

Here is how the Length of Crest without considering Velocity equation looks like with Units.

Here is how the Length of Crest without considering Velocity equation looks like.

2.2935 = {(\frac{8 \cdot 2}{3 \cdot 0.66 \cdot \sqrt{2 \cdot 9.8}})}^{\frac{2}{3}} + (0.1 \cdot 4 \cdot 2)

2.2935m = {(\frac{8m³/s \cdot 2}{3 \cdot 0.66 \cdot \sqrt{2 \cdot 9.8m/s²}})}^{\frac{2}{3}} + (0.1 \cdot 4 \cdot 2m)

2.2935 = {(\frac{8 \cdot 2}{3 \cdot 0.66 \cdot \sqrt{2 \cdot 9.8}})}^{\frac{2}{3}} + (0.1 \cdot 4 \cdot 2)

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Length of Crest without considering Velocity Solution

Follow our step by step solution on how to calculate Length of Crest without considering Velocity?

FIRST Step Consider the formula

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)

Next Step Substitute values of Variables

∴

L w = {(\frac{8m³/s \cdot 2}{3 \cdot 0.66 \cdot \sqrt{2 \cdot 9.8m/s²}})}^{\frac{2}{3}} + (0.1 \cdot 4 \cdot 2m)

Next Step Prepare to Evaluate

∴

L w = {(\frac{8 \cdot 2}{3 \cdot 0.66 \cdot \sqrt{2 \cdot 9.8}})}^{\frac{2}{3}} + (0.1 \cdot 4 \cdot 2)

Next Step Evaluate

∴

L w = 2.2935433682893m

LAST Step Rounding Answer

∴

L w = 2.2935m

Length of Crest without considering Velocity 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

Francis Discharge is calculated from the empirical formula given by Francis.

Symbol: Q_Fr

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Francis Discharge

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

Number of End Contraction

Number of End Contraction 1 can be described as the end contractions acting on a channel.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of End Contraction

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

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 given Discharge Passing over Weir

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}})}

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 without considering Velocity?

Length of Crest without considering Velocity evaluator uses 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) to evaluate the Length of Weir Crest, Length of Crest without considering Velocity 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 without considering Velocity using this online evaluator? To use this online evaluator for Length of Crest without considering Velocity, enter Francis Discharge (Q_Fr), Coefficient of Discharge (C_d), Acceleration due to Gravity (g), Number of End Contraction (n) & Height of Water above Crest of Weir (S_w) and hit the calculate button.

FAQs on Length of Crest without considering Velocity

What is the formula to find Length of Crest without considering Velocity?

The formula of Length of Crest without considering Velocity is expressed as 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). Here is an example- 2.293543 = ((8*2)/(3*0.66*sqrt(2*9.8)))^(2/3)+(0.1*4*2).

How to calculate Length of Crest without considering Velocity?

With Francis Discharge (Q_Fr), Coefficient of Discharge (C_d), Acceleration due to Gravity (g), Number of End Contraction (n) & Height of Water above Crest of Weir (S_w) we can find Length of Crest without considering Velocity using the formula - 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). 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 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)))
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 without considering Velocity be negative?

No, the Length of Crest without considering Velocity, measured in Length cannot be negative.

Which unit is used to measure Length of Crest without considering Velocity?

Length of Crest without considering Velocity 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 without considering Velocity can be measured.

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Length of Crest without considering Velocity Formula

​GoLength of Crest given Discharge Passing over Weir Formula

​GoLength of Crest considering Velocity Formula

Length of Crest without considering Velocity Example

Length of Crest without considering Velocity Solution

Length of Crest without considering Velocity Formula Elements

Other Formulas to find Length of Weir Crest

How to Evaluate Length of Crest without considering Velocity?

FAQs on Length of Crest without considering Velocity

Variable Name

GoLength of Crest given Discharge Passing over Weir Formula

GoLength of Crest considering Velocity Formula