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Head given Time Required to Lower Liquid Surface using Francis Formula Formula

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

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

H_Avg - Average Height of Downstream and Upstream?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?L_w - Length of Weir Crest?n - Number of End Contraction?

Head given Time Required to Lower Liquid Surface using Francis Formula Example

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

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

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

6.8882 = \frac{(\frac{2 \cdot 13}{1.84 \cdot 7.4}) \cdot (\frac{1}{\sqrt{5.1}} - \frac{1}{\sqrt{10.1}}) - 3}{- 0.1 \cdot 4}

6.8882m = \frac{(\frac{2 \cdot 13m²}{1.84 \cdot 7.4s}) \cdot (\frac{1}{\sqrt{5.1m}} - \frac{1}{\sqrt{10.1m}}) - 3m}{- 0.1 \cdot 4}

6.8882 = \frac{(\frac{2 \cdot 13}{1.84 \cdot 7.4}) \cdot (\frac{1}{\sqrt{5.1}} - \frac{1}{\sqrt{10.1}}) - 3}{- 0.1 \cdot 4}

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Head given Time Required to Lower Liquid Surface using Francis Formula Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

H Avg = \frac{(\frac{2 \cdot 13m²}{1.84 \cdot 7.4s}) \cdot (\frac{1}{\sqrt{5.1m}} - \frac{1}{\sqrt{10.1m}}) - 3m}{- 0.1 \cdot 4}

Next Step Prepare to Evaluate

∴

H Avg = \frac{(\frac{2 \cdot 13}{1.84 \cdot 7.4}) \cdot (\frac{1}{\sqrt{5.1}} - \frac{1}{\sqrt{10.1}}) - 3}{- 0.1 \cdot 4}

Next Step Evaluate

∴

H Avg = 6.88824261343951m

LAST Step Rounding Answer

∴

H Avg = 6.8882m

Head given Time Required to Lower Liquid Surface using Francis Formula Formula Elements

Variables

Functions

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

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

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

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 Head given Time Required to Lower Liquid Surface using Francis Formula?

Head given Time Required to Lower Liquid Surface using Francis Formula evaluator uses Average Height of Downstream and Upstream = (((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))-Length of Weir Crest)/(-0.1*Number of End Contraction) to evaluate the Average Height of Downstream and Upstream, Head given Time Required to Lower Liquid Surface using Francis Formula is specific measurement of liquid pressure above vertical datum. It is usually measured as liquid surface elevation. Average Height of Downstream and Upstream is denoted by H_Avg symbol.

How to evaluate Head given Time Required to Lower Liquid Surface using Francis Formula using this online evaluator? To use this online evaluator for Head 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), Length of Weir Crest (L_w) & Number of End Contraction (n) and hit the calculate button.

FAQs on Head given Time Required to Lower Liquid Surface using Francis Formula

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

The formula of Head given Time Required to Lower Liquid Surface using Francis Formula is expressed as Average Height of Downstream and Upstream = (((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))-Length of Weir Crest)/(-0.1*Number of End Contraction). Here is an example- 6.888243 = (((2*13)/(1.84*7.4))*(1/sqrt(5.1)-1/sqrt(10.1))-3)/(-0.1*4).

How to calculate Head 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), Length of Weir Crest (L_w) & Number of End Contraction (n) we can find Head given Time Required to Lower Liquid Surface using Francis Formula using the formula - Average Height of Downstream and Upstream = (((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))-Length of Weir Crest)/(-0.1*Number of End Contraction). This formula also uses Square Root Function function(s).

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

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

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

Head 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 Head given Time Required to Lower Liquid Surface using Francis Formula can be measured.

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Head given Time Required to Lower Liquid Surface using Francis Formula Formula

Head given Time Required to Lower Liquid Surface using Francis Formula Example

Head given Time Required to Lower Liquid Surface using Francis Formula Solution

Head given 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 Head given Time Required to Lower Liquid Surface using Francis Formula?

FAQs on Head given Time Required to Lower Liquid Surface using Francis Formula

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