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Length of Crest given Time Required to Lower Liquid Surface using Francis Formula Formula

GoLength of Crest for time required to Lower Liquid Surface 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{2 \cdot A R}{1.84 \cdot t F}) \cdot (\frac{1}{\sqrt{h 2}} - \frac{1}{\sqrt{H Upstream}})) + (0.1 \cdot n \cdot H Avg)

L_w - Length of Weir Crest?A_R - Cross-Sectional Area of Reservoir?t_F - Time Interval for Francis?h₂ - Head on Downstream of Weir?H_Upstream - Head on Upstream of Weir?n - Number of End Contraction?H_Avg - Average Height of Downstream and Upstream?

Length of Crest given Time Required to Lower Liquid Surface using Francis Formula Example

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Here is how the Length of Crest given Time Required to Lower Liquid Surface using Francis Formula equation looks like with Values.

Here is how the Length of Crest given Time Required to Lower Liquid Surface using Francis Formula equation looks like with Units.

Here is how the Length of Crest given Time Required to Lower Liquid Surface using Francis Formula equation looks like.

2.4447 = ((\frac{2 \cdot 13}{1.84 \cdot 7.4}) \cdot (\frac{1}{\sqrt{5.1}} - \frac{1}{\sqrt{10.1}})) + (0.1 \cdot 4 \cdot 5.5)

2.4447m = ((\frac{2 \cdot 13m²}{1.84 \cdot 7.4s}) \cdot (\frac{1}{\sqrt{5.1m}} - \frac{1}{\sqrt{10.1m}})) + (0.1 \cdot 4 \cdot 5.5m)

2.4447 = ((\frac{2 \cdot 13}{1.84 \cdot 7.4}) \cdot (\frac{1}{\sqrt{5.1}} - \frac{1}{\sqrt{10.1}})) + (0.1 \cdot 4 \cdot 5.5)

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Length of Crest given Time Required to Lower Liquid Surface using Francis Formula Solution

Follow our step by step solution on how to calculate Length of Crest given Time Required to Lower Liquid Surface using Francis Formula?

FIRST Step Consider the formula

L w = ((\frac{2 \cdot A R}{1.84 \cdot t F}) \cdot (\frac{1}{\sqrt{h 2}} - \frac{1}{\sqrt{H Upstream}})) + (0.1 \cdot n \cdot H Avg)

Next Step Substitute values of Variables

∴

L w = ((\frac{2 \cdot 13m²}{1.84 \cdot 7.4s}) \cdot (\frac{1}{\sqrt{5.1m}} - \frac{1}{\sqrt{10.1m}})) + (0.1 \cdot 4 \cdot 5.5m)

Next Step Prepare to Evaluate

∴

L w = ((\frac{2 \cdot 13}{1.84 \cdot 7.4}) \cdot (\frac{1}{\sqrt{5.1}} - \frac{1}{\sqrt{10.1}})) + (0.1 \cdot 4 \cdot 5.5)

Next Step Evaluate

∴

L w = 2.4447029546242m

LAST Step Rounding Answer

∴

L w = 2.4447m

Length of Crest given Time Required to Lower Liquid Surface using Francis Formula 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

Cross-Sectional Area of Reservoir

Cross-Sectional Area of Reservoir is the area of a reservoir that is obtained when a three-dimensional reservoir shape is sliced perpendicular to some specified axis at a point.

Symbol: A_R

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Cross-Sectional Area of Reservoir

Time Interval for Francis

Time Interval for Francis is calculated with the help of francis formula.

Symbol: t_F

Measurement: TimeUnit: s

Note: Value can be positive or negative.

Formulas to find Time Interval for Francis

Head on Downstream of Weir

Head on Downstream of Weir pertains to the energy status of water in water flow systems and is useful for describing flow in hydraulic structures.

Symbol: h₂

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Head on Downstream of Weir

Head on Upstream of Weir

Head on Upstream of Weirr pertains to the energy status of water in water flow systems and is useful for describing flow in hydraulic structures.

Symbol: H_Upstream

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Head on Upstream of Weir

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

Average Height of Downstream and Upstream

Average Height of Downstream and Upstream is the height of downstream and upstream.

Symbol: H_Avg

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Average Height of Downstream and Upstream

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 for time required to Lower Liquid Surface

L w = (\frac{2 \cdot A R}{(\frac{2}{3}) \cdot C d \cdot \sqrt{2 \cdot g} \cdot Δt}) \cdot (\frac{1}{\sqrt{h 2}} - \frac{1}{\sqrt{H Upstream}})

Other formulas in Time Required to Empty a Reservoir with Rectangular Weir category

Go Time Required to Lower Liquid Surface

Δt = (\frac{2 \cdot A R}{(\frac{2}{3}) \cdot C d \cdot \sqrt{2 \cdot g} \cdot L w}) \cdot (\frac{1}{\sqrt{h 2}} - \frac{1}{\sqrt{H Upstream}})

Go Coefficient of Discharge for Time Required to Lower Liquid Surface

C d = (\frac{2 \cdot A R}{(\frac{2}{3}) \cdot Δt \cdot \sqrt{2 \cdot g} \cdot L w}) \cdot (\frac{1}{\sqrt{h 2}} - \frac{1}{\sqrt{H Upstream}})

How to Evaluate Length of Crest given Time Required to Lower Liquid Surface using Francis Formula?

Length of Crest given Time Required to Lower Liquid Surface using Francis Formula evaluator uses Length of Weir Crest = (((2*Cross-Sectional Area of Reservoir)/(1.84*Time Interval for Francis))*(1/sqrt(Head on Downstream of Weir)-1/sqrt(Head on Upstream of Weir)))+(0.1*Number of End Contraction*Average Height of Downstream and Upstream) to evaluate the Length of Weir Crest, Length of Crest given Time Required to Lower Liquid Surface using Francis Formula 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 Time Required to Lower Liquid Surface using Francis Formula using this online evaluator? To use this online evaluator for Length of Crest given Time Required to Lower Liquid Surface using Francis Formula, enter Cross-Sectional Area of Reservoir (A_R), Time Interval for Francis (t_F), Head on Downstream of Weir (h₂), Head on Upstream of Weir (H_Upstream), Number of End Contraction (n) & Average Height of Downstream and Upstream (H_Avg) and hit the calculate button.

FAQs on Length of Crest given Time Required to Lower Liquid Surface using Francis Formula

What is the formula to find Length of Crest given Time Required to Lower Liquid Surface using Francis Formula?

The formula of Length of Crest given Time Required to Lower Liquid Surface using Francis Formula is expressed as Length of Weir Crest = (((2*Cross-Sectional Area of Reservoir)/(1.84*Time Interval for Francis))*(1/sqrt(Head on Downstream of Weir)-1/sqrt(Head on Upstream of Weir)))+(0.1*Number of End Contraction*Average Height of Downstream and Upstream). Here is an example- 2.444703 = (((2*13)/(1.84*7.4))*(1/sqrt(5.1)-1/sqrt(10.1)))+(0.1*4*5.5).

How to calculate Length of Crest given Time Required to Lower Liquid Surface using Francis Formula?

With Cross-Sectional Area of Reservoir (A_R), Time Interval for Francis (t_F), Head on Downstream of Weir (h₂), Head on Upstream of Weir (H_Upstream), Number of End Contraction (n) & Average Height of Downstream and Upstream (H_Avg) we can find Length of Crest given Time Required to Lower Liquid Surface using Francis Formula using the formula - Length of Weir Crest = (((2*Cross-Sectional Area of Reservoir)/(1.84*Time Interval for Francis))*(1/sqrt(Head on Downstream of Weir)-1/sqrt(Head on Upstream of Weir)))+(0.1*Number of End Contraction*Average Height of Downstream and Upstream). 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=((2*Cross-Sectional Area of Reservoir)/((2/3)*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*Time Interval))*(1/sqrt(Head on Downstream of Weir)-1/sqrt(Head on Upstream of Weir))

Can the Length of Crest given Time Required to Lower Liquid Surface using Francis Formula be negative?

No, the Length of Crest given Time Required to Lower Liquid Surface using Francis Formula, measured in Length cannot be negative.

Which unit is used to measure Length of Crest given Time Required to Lower Liquid Surface using Francis Formula?

Length of Crest given Time Required to Lower Liquid Surface using Francis Formula 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 Time Required to Lower Liquid Surface using Francis Formula can be measured.

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Length of Crest given Time Required to Lower Liquid Surface using Francis Formula Formula

​GoLength of Crest for time required to Lower Liquid Surface Formula

Length of Crest given Time Required to Lower Liquid Surface using Francis Formula Example

Length of Crest given Time Required to Lower Liquid Surface using Francis Formula Solution

Length of Crest given Time Required to Lower Liquid Surface using Francis Formula Formula Elements

Other Formulas to find Length of Weir Crest

Other formulas in Time Required to Empty a Reservoir with Rectangular Weir category

How to Evaluate Length of Crest given Time Required to Lower Liquid Surface using Francis Formula?

FAQs on Length of Crest given Time Required to Lower Liquid Surface using Francis Formula

Variable Name

GoLength of Crest for time required to Lower Liquid Surface Formula