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Length of Crest considering Velocity Formula

GoLength of Crest given Discharge Passing over Weir Formula

GoLength of Crest without 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{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)

L_w - Length of Weir Crest?Q_Fr' - Francis Discharge with Suppressed End?C_d - Coefficient of Discharge?g - Acceleration due to Gravity?H_Stillwater - Still Water Head?H_V - Velocity Head?n - Number of End Contraction?

Length of Crest considering Velocity Example

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Here is how the Length of Crest considering Velocity equation looks like with Values.

Here is how the Length of Crest considering Velocity equation looks like with Units.

Here is how the Length of Crest considering Velocity equation looks like.

4.6674 = (\frac{3 \cdot 28}{2 \cdot 0.66 \cdot \sqrt{2 \cdot 9.8} \cdot ({6.6}^{\frac{3}{2}} - {4.6}^{\frac{3}{2}})}) + (0.1 \cdot 4 \cdot 6.6)

4.6674m = (\frac{3 \cdot 28m³/s}{2 \cdot 0.66 \cdot \sqrt{2 \cdot 9.8m/s²} \cdot ({6.6m}^{\frac{3}{2}} - {4.6m}^{\frac{3}{2}})}) + (0.1 \cdot 4 \cdot 6.6m)

4.6674 = (\frac{3 \cdot 28}{2 \cdot 0.66 \cdot \sqrt{2 \cdot 9.8} \cdot ({6.6}^{\frac{3}{2}} - {4.6}^{\frac{3}{2}})}) + (0.1 \cdot 4 \cdot 6.6)

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Home » Engineering » Civil » Hydraulics and Waterworks » Length of Crest considering Velocity

Length of Crest considering Velocity Solution

Follow our step by step solution on how to calculate Length of Crest considering Velocity?

FIRST Step Consider the formula

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)

Next Step Substitute values of Variables

∴

L w = (\frac{3 \cdot 28m³/s}{2 \cdot 0.66 \cdot \sqrt{2 \cdot 9.8m/s²} \cdot ({6.6m}^{\frac{3}{2}} - {4.6m}^{\frac{3}{2}})}) + (0.1 \cdot 4 \cdot 6.6m)

Next Step Prepare to Evaluate

∴

L w = (\frac{3 \cdot 28}{2 \cdot 0.66 \cdot \sqrt{2 \cdot 9.8} \cdot ({6.6}^{\frac{3}{2}} - {4.6}^{\frac{3}{2}})}) + (0.1 \cdot 4 \cdot 6.6)

Next Step Evaluate

∴

L w = 4.66741641949778m

LAST Step Rounding Answer

∴

L w = 4.6674m

Length of Crest 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.

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.

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.

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.

Still Water Head

Still Water Head is the head of water which is still over weir.

Symbol: H_Stillwater

Measurement: LengthUnit: m

Note: Value can be positive or negative.

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.

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.

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)

Credits

Created by M Naveen

National Institute of Technology (NIT), Warangal

M Naveen has created this Formula and 500+ more formulas!

Verified by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has verified this Formula and 1700+ more formulas!

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 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)

How to Evaluate Length of Crest considering Velocity?

Length of Crest considering Velocity evaluator uses 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) to evaluate the Length of Weir Crest, Length of Crest considering Velocity 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 considering Velocity using this online evaluator? To use this online evaluator for Length of Crest considering Velocity, enter Francis Discharge with Suppressed End (Q_Fr'), Coefficient of Discharge (C_d), Acceleration due to Gravity (g), Still Water Head (H_Stillwater), Velocity Head (H_V) & Number of End Contraction (n) and hit the calculate button.

FAQs on Length of Crest considering Velocity

What is the formula to find Length of Crest considering Velocity?

The formula of Length of Crest considering Velocity is expressed as 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). Here is an example- 4.667416 = ((3*28)/(2*0.66*sqrt(2*9.8)*(6.6^(3/2)-4.6^(3/2))))+(0.1*4*6.6).

How to calculate Length of Crest considering Velocity?

With Francis Discharge with Suppressed End (Q_Fr'), Coefficient of Discharge (C_d), Acceleration due to Gravity (g), Still Water Head (H_Stillwater), Velocity Head (H_V) & Number of End Contraction (n) we can find Length of Crest considering Velocity using the formula - 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). 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=((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=(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 considering Velocity be negative?

No, the Length of Crest considering Velocity, measured in Length cannot be negative.

Which unit is used to measure Length of Crest considering Velocity?

Length of Crest 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 considering Velocity can be measured.

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Length of Crest considering Velocity Formula

​GoLength of Crest given Discharge Passing over Weir Formula

​GoLength of Crest without considering Velocity Formula

Length of Crest considering Velocity Example

Length of Crest considering Velocity Solution

Length of Crest considering Velocity Formula Elements

Credits

Other Formulas to find Length of Weir Crest

How to Evaluate Length of Crest considering Velocity?

FAQs on Length of Crest considering Velocity

Variable Name

GoLength of Crest given Discharge Passing over Weir Formula

GoLength of Crest without considering Velocity Formula