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Length of Crest for time required to Lower Liquid Surface Formula

GoLength of Crest given Time Required to Lower Liquid Surface using Francis Formula 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}{(\frac{2}{3}) \cdot C d \cdot \sqrt{2 \cdot g} \cdot Δt}) \cdot (\frac{1}{\sqrt{h 2}} - \frac{1}{\sqrt{H Upstream}})

L_w - Length of Weir Crest?A_R - Cross-Sectional Area of Reservoir?C_d - Coefficient of Discharge?g - Acceleration due to Gravity?Δt - Time Interval?h₂ - Head on Downstream of Weir?H_Upstream - Head on Upstream of Weir?

Length of Crest for time required to Lower Liquid Surface Example

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Here is how the Length of Crest for time required to Lower Liquid Surface equation looks like with Values.

Here is how the Length of Crest for time required to Lower Liquid Surface equation looks like with Units.

Here is how the Length of Crest for time required to Lower Liquid Surface equation looks like.

1.3684 = (\frac{2 \cdot 13}{(\frac{2}{3}) \cdot 0.66 \cdot \sqrt{2 \cdot 9.8} \cdot 1.25}) \cdot (\frac{1}{\sqrt{5.1}} - \frac{1}{\sqrt{10.1}})

1.3684m = (\frac{2 \cdot 13m²}{(\frac{2}{3}) \cdot 0.66 \cdot \sqrt{2 \cdot 9.8m/s²} \cdot 1.25s}) \cdot (\frac{1}{\sqrt{5.1m}} - \frac{1}{\sqrt{10.1m}})

1.3684 = (\frac{2 \cdot 13}{(\frac{2}{3}) \cdot 0.66 \cdot \sqrt{2 \cdot 9.8} \cdot 1.25}) \cdot (\frac{1}{\sqrt{5.1}} - \frac{1}{\sqrt{10.1}})

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Length of Crest for time required to Lower Liquid Surface Solution

Follow our step by step solution on how to calculate Length of Crest for time required to Lower Liquid Surface?

FIRST Step Consider the formula

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}})

Next Step Substitute values of Variables

∴

L w = (\frac{2 \cdot 13m²}{(\frac{2}{3}) \cdot 0.66 \cdot \sqrt{2 \cdot 9.8m/s²} \cdot 1.25s}) \cdot (\frac{1}{\sqrt{5.1m}} - \frac{1}{\sqrt{10.1m}})

Next Step Prepare to Evaluate

∴

L w = (\frac{2 \cdot 13}{(\frac{2}{3}) \cdot 0.66 \cdot \sqrt{2 \cdot 9.8} \cdot 1.25}) \cdot (\frac{1}{\sqrt{5.1}} - \frac{1}{\sqrt{10.1}})

Next Step Evaluate

∴

L w = 1.36835262847643m

LAST Step Rounding Answer

∴

L w = 1.3684m

Length of Crest for time required to Lower Liquid Surface 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

Coefficient of Discharge

The Coefficient of Discharge is ratio of actual discharge to theoretical discharge.

Symbol: C_d

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.2.

Formulas to find Coefficient of Discharge

Acceleration due to Gravity

The Acceleration due to Gravity is acceleration gained by an object because of gravitational force.

Symbol: g

Measurement: AccelerationUnit: m/s²

Note: Value should be greater than 0.

Formulas to find Acceleration due to Gravity

Time Interval

Time interval is the time duration between two events/entities of interest.

Symbol: Δt

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Time Interval

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 to find Length of Weir Crest

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

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 for time required to Lower Liquid Surface?

Length of Crest for time required to Lower Liquid Surface evaluator uses 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)) to evaluate the Length of Weir Crest, The Length of Crest for time required to Lower Liquid Surface 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 for time required to Lower Liquid Surface using this online evaluator? To use this online evaluator for Length of Crest for time required to Lower Liquid Surface, enter Cross-Sectional Area of Reservoir (A_R), Coefficient of Discharge (C_d), Acceleration due to Gravity (g), Time Interval (Δt), Head on Downstream of Weir (h₂) & Head on Upstream of Weir (H_Upstream) and hit the calculate button.

FAQs on Length of Crest for time required to Lower Liquid Surface

What is the formula to find Length of Crest for time required to Lower Liquid Surface?

The formula of Length of Crest for time required to Lower Liquid Surface is expressed as 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)). Here is an example- 1.368353 = ((2*13)/((2/3)*0.66*sqrt(2*9.8)*1.25))*(1/sqrt(5.1)-1/sqrt(10.1)).

How to calculate Length of Crest for time required to Lower Liquid Surface?

With Cross-Sectional Area of Reservoir (A_R), Coefficient of Discharge (C_d), Acceleration due to Gravity (g), Time Interval (Δt), Head on Downstream of Weir (h₂) & Head on Upstream of Weir (H_Upstream) we can find Length of Crest for time required to Lower Liquid Surface using the formula - 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)). 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)/(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)

Can the Length of Crest for time required to Lower Liquid Surface be negative?

No, the Length of Crest for time required to Lower Liquid Surface, measured in Length cannot be negative.

Which unit is used to measure Length of Crest for time required to Lower Liquid Surface?

Length of Crest for time required to Lower Liquid Surface 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 for time required to Lower Liquid Surface can be measured.

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Length of Crest for time required to Lower Liquid Surface Formula

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

Length of Crest for time required to Lower Liquid Surface Example

Length of Crest for time required to Lower Liquid Surface Solution

Length of Crest for time required to Lower Liquid Surface 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 for time required to Lower Liquid Surface?

FAQs on Length of Crest for time required to Lower Liquid Surface

Variable Name

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