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Coefficient of Discharge for Time Required to Empty Reservoir Formula

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The Coefficient of Discharge or efflux coefficient is the ratio of the actual discharge to the theoretical discharge. Check FAQs

C d = \frac{3 \cdot A}{t a \cdot L w \cdot \sqrt{2 \cdot [g]}} \cdot (\frac{1}{\sqrt{H f}} - \frac{1}{\sqrt{H i}})

C_d - Coefficient of Discharge?A - Area of Weir?t_a - Total Time Taken?L_w - Length of Weir?H_f - Final Height of Liquid?H_i - Initial Height of Liquid?[g] - Gravitational acceleration on Earth?

Coefficient of Discharge for Time Required to Empty Reservoir Example

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Here is how the Coefficient of Discharge for Time Required to Empty Reservoir equation looks like with Values.

Here is how the Coefficient of Discharge for Time Required to Empty Reservoir equation looks like with Units.

Here is how the Coefficient of Discharge for Time Required to Empty Reservoir equation looks like.

0.0389 = \frac{3 \cdot 50}{82 \cdot 25 \cdot \sqrt{2 \cdot 9.8066}} \cdot (\frac{1}{\sqrt{0.17}} - \frac{1}{\sqrt{186.1}})

0.0389 = \frac{3 \cdot 50m²}{82s \cdot 25m \cdot \sqrt{2 \cdot 9.8066m/s²}} \cdot (\frac{1}{\sqrt{0.17m}} - \frac{1}{\sqrt{186.1m}})

0.0389 = \frac{3 \cdot 50}{82 \cdot 25 \cdot \sqrt{2 \cdot 9.8066}} \cdot (\frac{1}{\sqrt{0.17}} - \frac{1}{\sqrt{186.1}})

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Coefficient of Discharge for Time Required to Empty Reservoir Solution

Follow our step by step solution on how to calculate Coefficient of Discharge for Time Required to Empty Reservoir?

FIRST Step Consider the formula

C d = \frac{3 \cdot A}{t a \cdot L w \cdot \sqrt{2 \cdot [g]}} \cdot (\frac{1}{\sqrt{H f}} - \frac{1}{\sqrt{H i}})

Next Step Substitute values of Variables

∴

C d = \frac{3 \cdot 50m²}{82s \cdot 25m \cdot \sqrt{2 \cdot [g]}} \cdot (\frac{1}{\sqrt{0.17m}} - \frac{1}{\sqrt{186.1m}})

Next Step Substitute values of Constants

∴

C d = \frac{3 \cdot 50m²}{82s \cdot 25m \cdot \sqrt{2 \cdot 9.8066m/s²}} \cdot (\frac{1}{\sqrt{0.17m}} - \frac{1}{\sqrt{186.1m}})

Next Step Prepare to Evaluate

∴

C d = \frac{3 \cdot 50}{82 \cdot 25 \cdot \sqrt{2 \cdot 9.8066}} \cdot (\frac{1}{\sqrt{0.17}} - \frac{1}{\sqrt{186.1}})

Next Step Evaluate

∴

C d = 0.038860559977852

LAST Step Rounding Answer

∴

C d = 0.0389

Coefficient of Discharge for Time Required to Empty Reservoir Formula Elements

Variables

Constants

Functions

Coefficient of Discharge

The Coefficient of Discharge or efflux coefficient is the ratio of the actual discharge to the theoretical discharge.

Symbol: C_d

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Coefficient of Discharge

Area of Weir

Area of Weir is the amount of two-dimensional space taken up by an object.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Weir

Total Time Taken

Total Time Taken is the total time taken by the body to cover that space.

Symbol: t_a

Measurement: TimeUnit: s

Note: Value can be positive or negative.

Formulas to find Total Time Taken

Length of Weir

The Length of Weir is the of the base of weir through which discharge is taking place.

Symbol: L_w

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Length of Weir

Final Height of Liquid

The Final Height of Liquid is a variable from the tank emptying through an orifice at its bottom.

Symbol: H_f

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Final Height of Liquid

Initial Height of Liquid

The Initial height of liquid is a variable from the tank emptying through an orifice at its bottom.

Symbol: H_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Initial Height of Liquid

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

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 Discharge category

Go Head of Liquid at Crest

H = {(\frac{Q th}{\frac{2}{3} \cdot C d \cdot L w \cdot \sqrt{2 \cdot [g]}})}^{\frac{2}{3}}

Go Head of Liquid above V-notch

H = {(\frac{Q th}{\frac{8}{15} \cdot C d \cdot \tan (\frac{∠A}{2}) \cdot \sqrt{2 \cdot [g]}})}^{0.4}

Go Time Required to Empty Reservoir

t a = (\frac{3 \cdot A}{C d \cdot L w \cdot \sqrt{2 \cdot [g]}}) \cdot (\frac{1}{\sqrt{H f}} - \frac{1}{\sqrt{H i}})

Go Time Required to Empty Tank with Triangular Weir or Notch

t a = (\frac{5 \cdot A}{4 \cdot C d \cdot \tan (\frac{∠A}{2}) \cdot \sqrt{2 \cdot [g]}}) \cdot (\frac{1}{{H f}^{\frac{3}{2}}} - \frac{1}{{H i}^{\frac{3}{2}}})

How to Evaluate Coefficient of Discharge for Time Required to Empty Reservoir?

Coefficient of Discharge for Time Required to Empty Reservoir evaluator uses Coefficient of Discharge = (3*Area of Weir)/(Total Time Taken*Length of Weir*sqrt(2*[g]))*(1/sqrt(Final Height of Liquid)-1/sqrt(Initial Height of Liquid)) to evaluate the Coefficient of Discharge, Coefficient of Discharge for Time required to Empty Reservoir is a dimensionless parameter that represents the efficiency of the flow through an orifice or a restriction. It relates the actual flow rate to the theoretical flow rate based on the size and geometry of the opening. Coefficient of Discharge is denoted by C_d symbol.

How to evaluate Coefficient of Discharge for Time Required to Empty Reservoir using this online evaluator? To use this online evaluator for Coefficient of Discharge for Time Required to Empty Reservoir, enter Area of Weir (A), Total Time Taken (t_a), Length of Weir (L_w), Final Height of Liquid (H_f) & Initial Height of Liquid (H_i) and hit the calculate button.

FAQs on Coefficient of Discharge for Time Required to Empty Reservoir

What is the formula to find Coefficient of Discharge for Time Required to Empty Reservoir?

The formula of Coefficient of Discharge for Time Required to Empty Reservoir is expressed as Coefficient of Discharge = (3*Area of Weir)/(Total Time Taken*Length of Weir*sqrt(2*[g]))*(1/sqrt(Final Height of Liquid)-1/sqrt(Initial Height of Liquid)). Here is an example- 0.038861 = (3*50)/(82*25*sqrt(2*[g]))*(1/sqrt(0.17)-1/sqrt(186.1)).

How to calculate Coefficient of Discharge for Time Required to Empty Reservoir?

With Area of Weir (A), Total Time Taken (t_a), Length of Weir (L_w), Final Height of Liquid (H_f) & Initial Height of Liquid (H_i) we can find Coefficient of Discharge for Time Required to Empty Reservoir using the formula - Coefficient of Discharge = (3*Area of Weir)/(Total Time Taken*Length of Weir*sqrt(2*[g]))*(1/sqrt(Final Height of Liquid)-1/sqrt(Initial Height of Liquid)). This formula also uses Gravitational acceleration on Earth constant(s) and Square Root (sqrt) function(s).

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Coefficient of Discharge for Time Required to Empty Reservoir Formula

Coefficient of Discharge for Time Required to Empty Reservoir Example

Coefficient of Discharge for Time Required to Empty Reservoir Solution

Coefficient of Discharge for Time Required to Empty Reservoir Formula Elements

Other formulas in Discharge category

How to Evaluate Coefficient of Discharge for Time Required to Empty Reservoir?

FAQs on Coefficient of Discharge for Time Required to Empty Reservoir

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