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Coefficient of Discharge for Time Required to Lower Liquid Surface Formula

GoCoefficient of Discharge given Time required to Lower Liquid for Triangular Notch Formula

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

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}})

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

Coefficient of Discharge for Time Required to Lower Liquid Surface Example

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

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

Here is how the Coefficient of Discharge for Time Required to Lower Liquid Surface equation looks like.

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

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

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

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Coefficient of Discharge for Time Required to Lower Liquid Surface Solution

Follow our step by step solution on how to calculate Coefficient of Discharge for Time Required to Lower Liquid Surface?

FIRST Step Consider the formula

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}})

Next Step Substitute values of Variables

∴

C d = (\frac{2 \cdot 13m²}{(\frac{2}{3}) \cdot 1.25s \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

∴

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

Next Step Evaluate

∴

C d = 0.301037578264815

LAST Step Rounding Answer

∴

C d = 0.301

Coefficient of Discharge for Time Required to Lower Liquid Surface Formula Elements

Variables

Functions

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

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

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

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 Coefficient of Discharge

Go Coefficient of Discharge given Time required to Lower Liquid for Triangular Notch

C d = (\frac{(\frac{2}{3}) \cdot A R}{(\frac{8}{15}) \cdot Δt \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 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 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 Coefficient of Discharge for Time Required to Lower Liquid Surface?

Coefficient of Discharge for Time Required to Lower Liquid Surface evaluator uses Coefficient of Discharge = ((2*Cross-Sectional Area of Reservoir)/((2/3)*Time Interval*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 Coefficient of Discharge, Coefficient of discharge for time required to lower liquid surface is ratio of actual discharge to theoretical discharge, i.e., ratio of mass flow rate at discharge end. Coefficient of Discharge is denoted by C_d symbol.

How to evaluate Coefficient of Discharge for Time Required to Lower Liquid Surface using this online evaluator? To use this online evaluator for Coefficient of Discharge for Time Required to Lower Liquid Surface, enter Cross-Sectional Area of Reservoir (A_R), Time Interval (Δt), 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 Coefficient of Discharge for Time Required to Lower Liquid Surface

What is the formula to find Coefficient of Discharge for Time Required to Lower Liquid Surface?

The formula of Coefficient of Discharge for Time Required to Lower Liquid Surface is expressed as Coefficient of Discharge = ((2*Cross-Sectional Area of Reservoir)/((2/3)*Time Interval*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- 0.301038 = ((2*13)/((2/3)*1.25*sqrt(2*9.8)*3))*(1/sqrt(5.1)-1/sqrt(10.1)).

How to calculate Coefficient of Discharge for Time Required to Lower Liquid Surface?

With Cross-Sectional Area of Reservoir (A_R), Time Interval (Δt), 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 Coefficient of Discharge for Time Required to Lower Liquid Surface using the formula - Coefficient of Discharge = ((2*Cross-Sectional Area of Reservoir)/((2/3)*Time Interval*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 Coefficient of Discharge?

Here are the different ways to Calculate Coefficient of Discharge-

Coefficient of Discharge=(((2/3)*Cross-Sectional Area of Reservoir)/((8/15)*Time Interval*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)))

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Coefficient of Discharge for Time Required to Lower Liquid Surface Formula

​GoCoefficient of Discharge given Time required to Lower Liquid for Triangular Notch Formula

Coefficient of Discharge for Time Required to Lower Liquid Surface Example

Coefficient of Discharge for Time Required to Lower Liquid Surface Solution

Coefficient of Discharge for Time Required to Lower Liquid Surface Formula Elements

Other Formulas to find Coefficient of Discharge

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

How to Evaluate Coefficient of Discharge for Time Required to Lower Liquid Surface?

FAQs on Coefficient of Discharge for Time Required to Lower Liquid Surface

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GoCoefficient of Discharge given Time required to Lower Liquid for Triangular Notch Formula