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Coefficient of Discharge given Actual Discharge over Broad Crested Weir Formula

GoCoefficient of Discharge given Discharge of Weir if Critical Depth is Constant Formula

GoCoefficient of Discharge for Max Discharge over Crested Weir Formula

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

C d = \frac{Q a}{L w \cdot h c \cdot \sqrt{(2 \cdot g) \cdot (H - h c)}}

C_d - Coefficient of Discharge?Q_a - Actual Discharge over Broad Crested Weir?L_w - Length of Weir Crest?h_c - Critical Depth of Weir?g - Acceleration due to Gravity?H - Total Head?

Coefficient of Discharge given Actual Discharge over Broad Crested Weir Example

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Here is how the Coefficient of Discharge given Actual Discharge over Broad Crested Weir equation looks like with Values.

Here is how the Coefficient of Discharge given Actual Discharge over Broad Crested Weir equation looks like with Units.

Here is how the Coefficient of Discharge given Actual Discharge over Broad Crested Weir equation looks like.

0.6597 = \frac{17.54}{3 \cdot 1.001 \cdot \sqrt{(2 \cdot 9.8) \cdot (5 - 1.001)}}

0.6597 = \frac{17.54m³/s}{3m \cdot 1.001m \cdot \sqrt{(2 \cdot 9.8m/s²) \cdot (5m - 1.001m)}}

0.6597 = \frac{17.54}{3 \cdot 1.001 \cdot \sqrt{(2 \cdot 9.8) \cdot (5 - 1.001)}}

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Coefficient of Discharge given Actual Discharge over Broad Crested Weir Solution

Follow our step by step solution on how to calculate Coefficient of Discharge given Actual Discharge over Broad Crested Weir?

FIRST Step Consider the formula

C d = \frac{Q a}{L w \cdot h c \cdot \sqrt{(2 \cdot g) \cdot (H - h c)}}

Next Step Substitute values of Variables

∴

C d = \frac{17.54m³/s}{3m \cdot 1.001m \cdot \sqrt{(2 \cdot 9.8m/s²) \cdot (5m - 1.001m)}}

Next Step Prepare to Evaluate

∴

C d = \frac{17.54}{3 \cdot 1.001 \cdot \sqrt{(2 \cdot 9.8) \cdot (5 - 1.001)}}

Next Step Evaluate

∴

C d = 0.659736510553575

LAST Step Rounding Answer

∴

C d = 0.6597

Coefficient of Discharge given Actual Discharge over Broad Crested Weir 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

Actual Discharge over Broad Crested Weir

Actual Discharge over Broad Crested Weir is a measure of the actual quantity of any fluid flow over unit time. The quantity may be either volume or mass.

Symbol: Q_a

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Actual Discharge over Broad Crested 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

Critical Depth of Weir

The Critical Depth of Weir is defined as the depth of flow where energy is at a minimum for a particular discharge.

Symbol: h_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Critical Depth of Weir

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

Total Head

Total Head is the combination of weir crested and additional head.

Symbol: H

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Total Head

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 Discharge of Weir if Critical Depth is Constant

C d = \frac{Q w}{1.70 \cdot L w \cdot {(H)}^{\frac{3}{2}}}

Go Coefficient of Discharge for Max Discharge over Crested Weir

C d = \frac{Q W(max)}{1.70 \cdot L w \cdot {(H)}^{\frac{3}{2}}}

Other formulas in Broad Crested Weir category

Go Total Head above Weir Crest

H = h c + (\frac{{v f}^{2}}{2 \cdot g})

Go Critical Depth due to Reduction in Area of Flow Section given Total Head

h c = H - (\frac{{v f}^{2}}{2 \cdot g})

Go Velocity of Flow given Head

v f = \sqrt{(2 \cdot g) \cdot (H - h c)}

Go Discharge over Broad Crested Weir

Q w = L w \cdot h c \cdot \sqrt{(2 \cdot [g]) \cdot (H - h c)}

How to Evaluate Coefficient of Discharge given Actual Discharge over Broad Crested Weir?

Coefficient of Discharge given Actual Discharge over Broad Crested Weir evaluator uses Coefficient of Discharge = Actual Discharge over Broad Crested Weir/(Length of Weir Crest*Critical Depth of Weir*sqrt((2*Acceleration due to Gravity)*(Total Head-Critical Depth of Weir))) to evaluate the Coefficient of Discharge, Coefficient of Discharge given Actual Discharge over Broad Crested Weir is defined as the actual discharge over a broad crested weir to the theoretically expected discharge. It accounts for losses due to friction and other factors, and is used to calibrate the flow measurement accuracy of the weir. Coefficient of Discharge is denoted by C_d symbol.

How to evaluate Coefficient of Discharge given Actual Discharge over Broad Crested Weir using this online evaluator? To use this online evaluator for Coefficient of Discharge given Actual Discharge over Broad Crested Weir, enter Actual Discharge over Broad Crested Weir (Q_a), Length of Weir Crest (L_w), Critical Depth of Weir (h_c), Acceleration due to Gravity (g) & Total Head (H) and hit the calculate button.

FAQs on Coefficient of Discharge given Actual Discharge over Broad Crested Weir

What is the formula to find Coefficient of Discharge given Actual Discharge over Broad Crested Weir?

The formula of Coefficient of Discharge given Actual Discharge over Broad Crested Weir is expressed as Coefficient of Discharge = Actual Discharge over Broad Crested Weir/(Length of Weir Crest*Critical Depth of Weir*sqrt((2*Acceleration due to Gravity)*(Total Head-Critical Depth of Weir))). Here is an example- 0.477688 = 17.54/(3*1.001*sqrt((2*9.8)*(5-1.001))).

How to calculate Coefficient of Discharge given Actual Discharge over Broad Crested Weir?

With Actual Discharge over Broad Crested Weir (Q_a), Length of Weir Crest (L_w), Critical Depth of Weir (h_c), Acceleration due to Gravity (g) & Total Head (H) we can find Coefficient of Discharge given Actual Discharge over Broad Crested Weir using the formula - Coefficient of Discharge = Actual Discharge over Broad Crested Weir/(Length of Weir Crest*Critical Depth of Weir*sqrt((2*Acceleration due to Gravity)*(Total Head-Critical Depth 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=Discharge Over Broad Crested Weir/(1.70*Length of Weir Crest*(Total Head)^(3/2))
Coefficient of Discharge=Max Discharge Over Broad Crested Weir/(1.70*Length of Weir Crest*(Total Head)^(3/2))

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Coefficient of Discharge given Actual Discharge over Broad Crested Weir Formula

​GoCoefficient of Discharge given Discharge of Weir if Critical Depth is Constant Formula

​GoCoefficient of Discharge for Max Discharge over Crested Weir Formula

Coefficient of Discharge given Actual Discharge over Broad Crested Weir Example

Coefficient of Discharge given Actual Discharge over Broad Crested Weir Solution

Coefficient of Discharge given Actual Discharge over Broad Crested Weir Formula Elements

Other Formulas to find Coefficient of Discharge

Other formulas in Broad Crested Weir category

How to Evaluate Coefficient of Discharge given Actual Discharge over Broad Crested Weir?

FAQs on Coefficient of Discharge given Actual Discharge over Broad Crested Weir

Variable Name

GoCoefficient of Discharge given Discharge of Weir if Critical Depth is Constant Formula

GoCoefficient of Discharge for Max Discharge over Crested Weir Formula