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Time Required to Lower Liquid Surface Formula

GoTime Required to Lower Liquid Surface using Bazins Formula Formula

GoTime Required to Lower Liquid Surface for Triangular Notch Formula

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

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}})

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

Time Required to Lower Liquid Surface Example

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

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

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

0.5701 = (\frac{2 \cdot 13}{(\frac{2}{3}) \cdot 0.66 \cdot \sqrt{2 \cdot 9.8} \cdot 3}) \cdot (\frac{1}{\sqrt{5.1}} - \frac{1}{\sqrt{10.1}})

0.5701s = (\frac{2 \cdot 13m²}{(\frac{2}{3}) \cdot 0.66 \cdot \sqrt{2 \cdot 9.8m/s²} \cdot 3m}) \cdot (\frac{1}{\sqrt{5.1m}} - \frac{1}{\sqrt{10.1m}})

0.5701 = (\frac{2 \cdot 13}{(\frac{2}{3}) \cdot 0.66 \cdot \sqrt{2 \cdot 9.8} \cdot 3}) \cdot (\frac{1}{\sqrt{5.1}} - \frac{1}{\sqrt{10.1}})

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Time Required to Lower Liquid Surface Solution

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

FIRST Step Consider the formula

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}})

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

Δt = 0.570146928531847s

LAST Step Rounding Answer

∴

Δt = 0.5701s

Time Required to Lower Liquid Surface Formula Elements

Variables

Functions

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

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

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

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 Time Interval

Go Time Required to Lower Liquid Surface using Bazins Formula

Δt = (\frac{2 \cdot A R}{m \cdot \sqrt{2 \cdot g}}) \cdot (\frac{1}{\sqrt{h 2}} - \frac{1}{\sqrt{H Upstream}})

Go Time Required to Lower Liquid Surface for Triangular Notch

Δt = (\frac{(\frac{2}{3}) \cdot A R}{(\frac{8}{15}) \cdot C d \cdot \sqrt{2 \cdot g} \cdot \tan (\frac{θ}{2})}) \cdot ((\frac{1}{{h 2}^{\frac{3}{2}}}) - (\frac{1}{{H Upstream}^{\frac{3}{2}}}))

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

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}})

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}})

How to Evaluate Time Required to Lower Liquid Surface?

Time Required to Lower Liquid Surface evaluator uses Time Interval = ((2*Cross-Sectional Area of Reservoir)/((2/3)*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*Length of Weir Crest))*(1/sqrt(Head on Downstream of Weir)-1/sqrt(Head on Upstream of Weir)) to evaluate the Time Interval, The Time Required to Lower Liquid Surface is defined as amount of time taken by lowering water surface from H1 to H2. Time Interval is denoted by Δt symbol.

How to evaluate Time Required to Lower Liquid Surface using this online evaluator? To use this online evaluator 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), Length of Weir Crest (L_w), 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

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

The formula of Time Required to Lower Liquid Surface is expressed as Time Interval = ((2*Cross-Sectional Area of Reservoir)/((2/3)*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*Length of Weir Crest))*(1/sqrt(Head on Downstream of Weir)-1/sqrt(Head on Upstream of Weir)). Here is an example- 0.570147 = ((2*13)/((2/3)*0.66*sqrt(2*9.8)*3))*(1/sqrt(5.1)-1/sqrt(10.1)).

How to calculate Time Required to Lower Liquid Surface?

With Cross-Sectional Area of Reservoir (A_R), Coefficient of Discharge (C_d), Acceleration due to Gravity (g), Length of Weir Crest (L_w), Head on Downstream of Weir (h₂) & Head on Upstream of Weir (H_Upstream) we can find Time Required to Lower Liquid Surface using the formula - Time Interval = ((2*Cross-Sectional Area of Reservoir)/((2/3)*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*Length of Weir Crest))*(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 Time Interval?

Here are the different ways to Calculate Time Interval-

Time Interval=((2*Cross-Sectional Area of Reservoir)/(Bazins Coefficient*sqrt(2*Acceleration due to Gravity)))*(1/sqrt(Head on Downstream of Weir)-1/sqrt(Head on Upstream of Weir))
Time Interval=(((2/3)*Cross-Sectional Area of Reservoir)/((8/15)*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*tan(Theta/2)))*((1/Head on Downstream of Weir^(3/2))-(1/Head on Upstream of Weir^(3/2)))

Can the Time Required to Lower Liquid Surface be negative?

No, the Time Required to Lower Liquid Surface, measured in Time cannot be negative.

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

Time Required to Lower Liquid Surface 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 can be measured.

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Time Required to Lower Liquid Surface Formula

​GoTime Required to Lower Liquid Surface using Bazins Formula Formula

​GoTime Required to Lower Liquid Surface for Triangular Notch Formula

Time Required to Lower Liquid Surface Example

Time Required to Lower Liquid Surface Solution

Time Required to Lower Liquid Surface Formula Elements

Other Formulas to find Time Interval

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

How to Evaluate Time Required to Lower Liquid Surface?

FAQs on Time Required to Lower Liquid Surface

Variable Name

GoTime Required to Lower Liquid Surface using Bazins Formula Formula

GoTime Required to Lower Liquid Surface for Triangular Notch Formula