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

GoCoefficient of Discharge given Actual Discharge over Broad Crested Weir 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 w}{1.70 \cdot L w \cdot {(H)}^{\frac{3}{2}}}

C_d - Coefficient of Discharge?Q_w - Discharge Over Broad Crested Weir?L_w - Length of Weir Crest?H - Total Head?

Coefficient of Discharge given Discharge of Weir if Critical Depth is Constant Example

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Here is how the Coefficient of Discharge given Discharge of Weir if Critical Depth is Constant equation looks like with Values.

Here is how the Coefficient of Discharge given Discharge of Weir if Critical Depth is Constant equation looks like with Units.

Here is how the Coefficient of Discharge given Discharge of Weir if Critical Depth is Constant equation looks like.

0.4665 = \frac{26.6}{1.70 \cdot 3 \cdot {(5)}^{\frac{3}{2}}}

0.4665 = \frac{26.6m³/s}{1.70 \cdot 3m \cdot {(5m)}^{\frac{3}{2}}}

0.4665 = \frac{26.6}{1.70 \cdot 3 \cdot {(5)}^{\frac{3}{2}}}

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Coefficient of Discharge given Discharge of Weir if Critical Depth is Constant Solution

Follow our step by step solution on how to calculate Coefficient of Discharge given Discharge of Weir if Critical Depth is Constant?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

C d = \frac{26.6m³/s}{1.70 \cdot 3m \cdot {(5m)}^{\frac{3}{2}}}

Next Step Prepare to Evaluate

∴

C d = \frac{26.6}{1.70 \cdot 3 \cdot {(5)}^{\frac{3}{2}}}

Next Step Evaluate

∴

C d = 0.466505162364662

LAST Step Rounding Answer

∴

C d = 0.4665

Coefficient of Discharge given Discharge of Weir if Critical Depth is Constant Formula Elements

Variables

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

Discharge Over Broad Crested Weir

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

Symbol: Q_w

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

Formulas to find 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

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

Other Formulas to find Coefficient of Discharge

Go Coefficient of Discharge given Actual Discharge over Broad Crested Weir

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

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 Discharge of Weir if Critical Depth is Constant?

Coefficient of Discharge given Discharge of Weir if Critical Depth is Constant evaluator uses Coefficient of Discharge = Discharge Over Broad Crested Weir/(1.70*Length of Weir Crest*(Total Head)^(3/2)) to evaluate the Coefficient of Discharge, Coefficient of Discharge given Discharge of Weir if Critical Depth is Constant is defined as ratio between actual flow discharge and theoretical flow discharge. Coefficient of Discharge is denoted by C_d symbol.

How to evaluate Coefficient of Discharge given Discharge of Weir if Critical Depth is Constant using this online evaluator? To use this online evaluator for Coefficient of Discharge given Discharge of Weir if Critical Depth is Constant, enter Discharge Over Broad Crested Weir (Q_w), Length of Weir Crest (L_w) & Total Head (H) and hit the calculate button.

FAQs on Coefficient of Discharge given Discharge of Weir if Critical Depth is Constant

What is the formula to find Coefficient of Discharge given Discharge of Weir if Critical Depth is Constant?

The formula of Coefficient of Discharge given Discharge of Weir if Critical Depth is Constant is expressed as Coefficient of Discharge = Discharge Over Broad Crested Weir/(1.70*Length of Weir Crest*(Total Head)^(3/2)). Here is an example- 0.466505 = 26.6/(1.70*3*(5)^(3/2)).

How to calculate Coefficient of Discharge given Discharge of Weir if Critical Depth is Constant?

With Discharge Over Broad Crested Weir (Q_w), Length of Weir Crest (L_w) & Total Head (H) we can find Coefficient of Discharge given Discharge of Weir if Critical Depth is Constant using the formula - Coefficient of Discharge = Discharge Over Broad Crested Weir/(1.70*Length of Weir Crest*(Total Head)^(3/2)).

What are the other ways to Calculate Coefficient of Discharge?

Here are the different ways to Calculate Coefficient of Discharge-

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)))
Coefficient of Discharge=Max Discharge Over Broad Crested Weir/(1.70*Length of Weir Crest*(Total Head)^(3/2))

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