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Time Required to Lower Liquid Surface using Francis Formula Formula

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

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

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

Time Required to Lower Liquid Surface using Francis Formula Example

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

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

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

2.2635 = (\frac{2 \cdot 13}{1.84 \cdot (3 - (0.1 \cdot 4 \cdot 5.5))}) \cdot (\frac{1}{\sqrt{5.1}} - \frac{1}{\sqrt{10.1}})

2.2635s = (\frac{2 \cdot 13m²}{1.84 \cdot (3m - (0.1 \cdot 4 \cdot 5.5m))}) \cdot (\frac{1}{\sqrt{5.1m}} - \frac{1}{\sqrt{10.1m}})

2.2635 = (\frac{2 \cdot 13}{1.84 \cdot (3 - (0.1 \cdot 4 \cdot 5.5))}) \cdot (\frac{1}{\sqrt{5.1}} - \frac{1}{\sqrt{10.1}})

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Time Required to Lower Liquid Surface using Francis Formula Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

t F = (\frac{2 \cdot 13m²}{1.84 \cdot (3m - (0.1 \cdot 4 \cdot 5.5m))}) \cdot (\frac{1}{\sqrt{5.1m}} - \frac{1}{\sqrt{10.1m}})

Next Step Prepare to Evaluate

∴

t F = (\frac{2 \cdot 13}{1.84 \cdot (3 - (0.1 \cdot 4 \cdot 5.5))}) \cdot (\frac{1}{\sqrt{5.1}} - \frac{1}{\sqrt{10.1}})

Next Step Evaluate

∴

t F = 2.26350233027382s

LAST Step Rounding Answer

∴

t F = 2.2635s

Time Required to Lower Liquid Surface using Francis Formula Formula Elements

Variables

Functions

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

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

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

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

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

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 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 Time Required to Lower Liquid Surface using Francis Formula?

Time Required to Lower Liquid Surface using Francis Formula evaluator uses Time Interval for Francis = ((2*Cross-Sectional Area of Reservoir)/(1.84*(Length of Weir Crest-(0.1*Number of End Contraction*Average Height of Downstream and Upstream))))*(1/sqrt(Head on Downstream of Weir)-1/sqrt(Head on Upstream of Weir)) to evaluate the Time Interval for Francis, The Time Required to Lower Liquid Surface using Francis Formula as amount of time taken by lowering water surface from Head1 to Head2. Time Interval for Francis is denoted by t_F symbol.

How to evaluate Time Required to Lower Liquid Surface using Francis Formula using this online evaluator? To use this online evaluator for Time Required to Lower Liquid Surface using Francis Formula, enter Cross-Sectional Area of Reservoir (A_R), Length of Weir Crest (L_w), Number of End Contraction (n), Average Height of Downstream and Upstream (H_Avg), Head on Downstream of Weir (h₂) & Head on Upstream of Weir (H_Upstream) and hit the calculate button.

FAQs on Time Required to Lower Liquid Surface using Francis Formula

What is the formula to find Time Required to Lower Liquid Surface using Francis Formula?

The formula of Time Required to Lower Liquid Surface using Francis Formula is expressed as Time Interval for Francis = ((2*Cross-Sectional Area of Reservoir)/(1.84*(Length of Weir Crest-(0.1*Number of End Contraction*Average Height of Downstream and Upstream))))*(1/sqrt(Head on Downstream of Weir)-1/sqrt(Head on Upstream of Weir)). Here is an example- 2.263502 = ((2*13)/(1.84*(3-(0.1*4*5.5))))*(1/sqrt(5.1)-1/sqrt(10.1)).

How to calculate Time Required to Lower Liquid Surface using Francis Formula?

With Cross-Sectional Area of Reservoir (A_R), Length of Weir Crest (L_w), Number of End Contraction (n), Average Height of Downstream and Upstream (H_Avg), Head on Downstream of Weir (h₂) & Head on Upstream of Weir (H_Upstream) we can find Time Required to Lower Liquid Surface using Francis Formula using the formula - Time Interval for Francis = ((2*Cross-Sectional Area of Reservoir)/(1.84*(Length of Weir Crest-(0.1*Number of End Contraction*Average Height of Downstream and Upstream))))*(1/sqrt(Head on Downstream of Weir)-1/sqrt(Head on Upstream of Weir)). This formula also uses Square Root (sqrt) function(s).

Can the Time Required to Lower Liquid Surface using Francis Formula be negative?

Yes, the Time Required to Lower Liquid Surface using Francis Formula, measured in Time can be negative.

Which unit is used to measure Time Required to Lower Liquid Surface using Francis Formula?

Time Required to Lower Liquid Surface using Francis Formula is usually measured using the Second[s] for Time. Millisecond[s], Microsecond[s], Nanosecond[s] are the few other units in which Time Required to Lower Liquid Surface using Francis Formula can be measured.

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Time Required to Lower Liquid Surface using Francis Formula Formula

Time Required to Lower Liquid Surface using Francis Formula Example

Time Required to Lower Liquid Surface using Francis Formula Solution

Time Required to Lower Liquid Surface using Francis Formula Formula Elements

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

How to Evaluate Time Required to Lower Liquid Surface using Francis Formula?

FAQs on Time Required to Lower Liquid Surface using Francis Formula

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