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Francis Formula for Discharge for Rectangular Notch if Velocity is considered Formula

GoFrancis Formula for Discharge for Rectangular Notch if Velocity not considered Formula

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

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

Q_Fr - Francis Discharge?L_w - Length of Weir Crest?n - Number of End Contraction?H_Stillwater - Still Water Head?H_V - Velocity Head?

Francis Formula for Discharge for Rectangular Notch if Velocity is considered Example

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Here is how the Francis Formula for Discharge for Rectangular Notch if Velocity is considered equation looks like with Values.

Here is how the Francis Formula for Discharge for Rectangular Notch if Velocity is considered equation looks like with Units.

Here is how the Francis Formula for Discharge for Rectangular Notch if Velocity is considered equation looks like.

4.6963 = 1.84 \cdot (3 - 0.1 \cdot 4 \cdot 6.6) \cdot ({6.6}^{\frac{3}{2}} - {4.6}^{\frac{3}{2}})

4.6963m³/s = 1.84 \cdot (3m - 0.1 \cdot 4 \cdot 6.6m) \cdot ({6.6m}^{\frac{3}{2}} - {4.6m}^{\frac{3}{2}})

4.6963 = 1.84 \cdot (3 - 0.1 \cdot 4 \cdot 6.6) \cdot ({6.6}^{\frac{3}{2}} - {4.6}^{\frac{3}{2}})

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Francis Formula for Discharge for Rectangular Notch if Velocity is considered Solution

Follow our step by step solution on how to calculate Francis Formula for Discharge for Rectangular Notch if Velocity is considered?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Q Fr = 1.84 \cdot (3m - 0.1 \cdot 4 \cdot 6.6m) \cdot ({6.6m}^{\frac{3}{2}} - {4.6m}^{\frac{3}{2}})

Next Step Prepare to Evaluate

∴

Q Fr = 1.84 \cdot (3 - 0.1 \cdot 4 \cdot 6.6) \cdot ({6.6}^{\frac{3}{2}} - {4.6}^{\frac{3}{2}})

Next Step Evaluate

∴

Q Fr = 4.69628758227097m³/s

LAST Step Rounding Answer

∴

Q Fr = 4.6963m³/s

Francis Formula for Discharge for Rectangular Notch if Velocity is considered Formula Elements

Variables

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

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

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

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

Other Formulas to find Francis Discharge

Go Francis Formula for Discharge for Rectangular Notch if Velocity not considered

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

Other formulas in Flow Over Rectangular Sharp Crested Weir or Notch category

Go Coefficient of Discharge given Discharge over Weir without considering Velocity

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

Go Coefficient of Discharge given Discharge Passing over Weir considering Velocity

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

Go Coefficient of Discharge given Discharge if Velocity not considered

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

Go Coefficient of Discharge given Discharge if Velocity considered

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

How to Evaluate Francis Formula for Discharge for Rectangular Notch if Velocity is considered?

Francis Formula for Discharge for Rectangular Notch if Velocity is considered evaluator uses Francis Discharge = 1.84*(Length of Weir Crest-0.1*Number of End Contraction*Still Water Head)*(Still Water Head^(3/2)-Velocity Head^(3/2)) to evaluate the Francis Discharge, The Francis formula for discharge for rectangular notch if velocity is considered is a measure of the quantity of any fluid flow over unit time. The quantity may be either volume or mass. Francis Discharge is denoted by Q_Fr symbol.

How to evaluate Francis Formula for Discharge for Rectangular Notch if Velocity is considered using this online evaluator? To use this online evaluator for Francis Formula for Discharge for Rectangular Notch if Velocity is considered, enter Length of Weir Crest (L_w), Number of End Contraction (n), Still Water Head (H_Stillwater) & Velocity Head (H_V) and hit the calculate button.

FAQs on Francis Formula for Discharge for Rectangular Notch if Velocity is considered

What is the formula to find Francis Formula for Discharge for Rectangular Notch if Velocity is considered?

The formula of Francis Formula for Discharge for Rectangular Notch if Velocity is considered is expressed as Francis Discharge = 1.84*(Length of Weir Crest-0.1*Number of End Contraction*Still Water Head)*(Still Water Head^(3/2)-Velocity Head^(3/2)). Here is an example- 4.696288 = 1.84*(3-0.1*4*6.6)*(6.6^(3/2)-4.6^(3/2)).

How to calculate Francis Formula for Discharge for Rectangular Notch if Velocity is considered?

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

What are the other ways to Calculate Francis Discharge?

Here are the different ways to Calculate Francis Discharge-

Francis Discharge=1.84*(Length of Weir Crest-0.1*Number of End Contraction*Height of Water above Crest of Weir)*Height of Water above Crest of Weir^(3/2)

Can the Francis Formula for Discharge for Rectangular Notch if Velocity is considered be negative?

No, the Francis Formula for Discharge for Rectangular Notch if Velocity is considered, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure Francis Formula for Discharge for Rectangular Notch if Velocity is considered?

Francis Formula for Discharge for Rectangular Notch if Velocity is considered is usually measured using the Cubic Meter per Second[m³/s] for Volumetric Flow Rate. Cubic Meter per Day[m³/s], Cubic Meter per Hour[m³/s], Cubic Meter per Minute[m³/s] are the few other units in which Francis Formula for Discharge for Rectangular Notch if Velocity is considered can be measured.

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Francis Formula for Discharge for Rectangular Notch if Velocity is considered Formula

​GoFrancis Formula for Discharge for Rectangular Notch if Velocity not considered Formula

Francis Formula for Discharge for Rectangular Notch if Velocity is considered Example

Francis Formula for Discharge for Rectangular Notch if Velocity is considered Solution

Francis Formula for Discharge for Rectangular Notch if Velocity is considered Formula Elements

Other Formulas to find Francis Discharge

Other formulas in Flow Over Rectangular Sharp Crested Weir or Notch category

How to Evaluate Francis Formula for Discharge for Rectangular Notch if Velocity is considered?

FAQs on Francis Formula for Discharge for Rectangular Notch if Velocity is considered

Variable Name

GoFrancis Formula for Discharge for Rectangular Notch if Velocity not considered Formula