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Length of Crest when Francis Formula Discharge and Velocity is considered 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{Q Fr}{1.84 \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?H_Stillwater - Still Water Head?H_V - Velocity Head?n - Number of End Contraction?

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

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Here is how the Length of Crest when Francis Formula Discharge and Velocity is considered equation looks like with Values.

Here is how the Length of Crest when Francis Formula Discharge and Velocity is considered equation looks like with Units.

Here is how the Length of Crest when Francis Formula Discharge and Velocity is considered equation looks like.

3.2533 = (\frac{8}{1.84 \cdot ({6.6}^{\frac{3}{2}} - {4.6}^{\frac{3}{2}})}) + (0.1 \cdot 4 \cdot 6.6)

3.2533m = (\frac{8m³/s}{1.84 \cdot ({6.6m}^{\frac{3}{2}} - {4.6m}^{\frac{3}{2}})}) + (0.1 \cdot 4 \cdot 6.6m)

3.2533 = (\frac{8}{1.84 \cdot ({6.6}^{\frac{3}{2}} - {4.6}^{\frac{3}{2}})}) + (0.1 \cdot 4 \cdot 6.6)

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

Follow our step by step solution on how to calculate Length of Crest when Francis Formula Discharge and Velocity is considered?

FIRST Step Consider the formula

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)

Next Step Substitute values of Variables

∴

L w = (\frac{8m³/s}{1.84 \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{8}{1.84 \cdot ({6.6}^{\frac{3}{2}} - {4.6}^{\frac{3}{2}})}) + (0.1 \cdot 4 \cdot 6.6)

Next Step Evaluate

∴

L w = 3.2532503492487m

LAST Step Rounding Answer

∴

L w = 3.2533m

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

Variables

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

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.

Formulas to find Still Water Head

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

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

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)

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)

How to Evaluate Length of Crest when Francis Formula Discharge and Velocity is considered?

Length of Crest when Francis Formula Discharge and Velocity is considered evaluator uses Length of Weir Crest = (Francis Discharge/(1.84*(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, The Length of crest when Francis formula discharge and velocity is considered is given 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 when Francis Formula Discharge and Velocity is considered using this online evaluator? To use this online evaluator for Length of Crest when Francis Formula Discharge and Velocity is considered, enter Francis Discharge (Q_Fr), Still Water Head (H_Stillwater), Velocity Head (H_V) & Number of End Contraction (n) and hit the calculate button.

FAQs on Length of Crest when Francis Formula Discharge and Velocity is considered

What is the formula to find Length of Crest when Francis Formula Discharge and Velocity is considered?

The formula of Length of Crest when Francis Formula Discharge and Velocity is considered is expressed as Length of Weir Crest = (Francis Discharge/(1.84*(Still Water Head^(3/2)-Velocity Head^(3/2))))+(0.1*Number of End Contraction*Still Water Head). Here is an example- 3.25325 = (8/(1.84*(6.6^(3/2)-4.6^(3/2))))+(0.1*4*6.6).

How to calculate Length of Crest when Francis Formula Discharge and Velocity is considered?

With Francis Discharge (Q_Fr), Still Water Head (H_Stillwater), Velocity Head (H_V) & Number of End Contraction (n) we can find Length of Crest when Francis Formula Discharge and Velocity is considered using the formula - Length of Weir Crest = (Francis Discharge/(1.84*(Still Water Head^(3/2)-Velocity Head^(3/2))))+(0.1*Number of End Contraction*Still Water Head).

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=((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)

Can the Length of Crest when Francis Formula Discharge and Velocity is considered be negative?

No, the Length of Crest when Francis Formula Discharge and Velocity is considered, measured in Length cannot be negative.

Which unit is used to measure Length of Crest when Francis Formula Discharge and Velocity is considered?

Length of Crest when Francis Formula Discharge and Velocity is considered 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 when Francis Formula Discharge and Velocity is considered can be measured.

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

​GoLength of Crest given Discharge Passing over Weir Formula

​GoLength of Crest without considering Velocity Formula

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

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

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

Other Formulas to find Length of Weir Crest

How to Evaluate Length of Crest when Francis Formula Discharge and Velocity is considered?

FAQs on Length of Crest when Francis Formula Discharge and Velocity is considered

Variable Name

GoLength of Crest given Discharge Passing over Weir Formula

GoLength of Crest without considering Velocity Formula