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Coefficient of Discharge for Max Discharge over Crested Weir Formula

GoCoefficient of Discharge given Actual Discharge over Broad Crested Weir Formula

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

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

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

C_d - Coefficient of Discharge?Q_W(max) - Max Discharge Over Broad Crested Weir?L_w - Length of Weir Crest?H - Total Head?

Coefficient of Discharge for Max Discharge over Crested Weir Example

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Here is how the Coefficient of Discharge for Max Discharge over Crested Weir equation looks like with Values.

Here is how the Coefficient of Discharge for Max Discharge over Crested Weir equation looks like with Units.

Here is how the Coefficient of Discharge for Max Discharge over Crested Weir equation looks like.

0.6594 = \frac{37.6}{1.70 \cdot 3 \cdot {(5)}^{\frac{3}{2}}}

0.6594 = \frac{37.6m³/s}{1.70 \cdot 3m \cdot {(5m)}^{\frac{3}{2}}}

0.6594 = \frac{37.6}{1.70 \cdot 3 \cdot {(5)}^{\frac{3}{2}}}

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Coefficient of Discharge for Max Discharge over Crested Weir Solution

Follow our step by step solution on how to calculate Coefficient of Discharge for Max Discharge over Crested Weir?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

C d = \frac{37.6m³/s}{1.70 \cdot 3m \cdot {(5m)}^{\frac{3}{2}}}

Next Step Prepare to Evaluate

∴

C d = \frac{37.6}{1.70 \cdot 3 \cdot {(5)}^{\frac{3}{2}}}

Next Step Evaluate

∴

C d = 0.659420831011703

LAST Step Rounding Answer

∴

C d = 0.6594

Coefficient of Discharge for Max Discharge over Crested Weir 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

Max Discharge Over Broad Crested Weir

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

Symbol: Q_W(max)

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Max 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 given Discharge of Weir if Critical Depth is Constant

C d = \frac{Q w}{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 for Max Discharge over Crested Weir?

Coefficient of Discharge for Max Discharge over Crested Weir evaluator uses Coefficient of Discharge = Max Discharge Over Broad Crested Weir/(1.70*Length of Weir Crest*(Total Head)^(3/2)) to evaluate the Coefficient of Discharge, Coefficient of Discharge for Max Discharge over Crested Weir is defined as the ratio of the actual flow rate through the weir to the theoretical flow rate based on the head of water above the weir. It accounts for various factors such as weir shape, surface roughness, and approach flow conditions. Coefficient of Discharge is denoted by C_d symbol.

How to evaluate Coefficient of Discharge for Max Discharge over Crested Weir using this online evaluator? To use this online evaluator for Coefficient of Discharge for Max Discharge over Crested Weir, enter Max Discharge Over Broad Crested Weir (Q_W(max)), Length of Weir Crest (L_w) & Total Head (H) and hit the calculate button.

FAQs on Coefficient of Discharge for Max Discharge over Crested Weir

What is the formula to find Coefficient of Discharge for Max Discharge over Crested Weir?

The formula of Coefficient of Discharge for Max Discharge over Crested Weir is expressed as Coefficient of Discharge = Max Discharge Over Broad Crested Weir/(1.70*Length of Weir Crest*(Total Head)^(3/2)). Here is an example- 0.480535 = 37.6/(1.70*3*(5)^(3/2)).

How to calculate Coefficient of Discharge for Max Discharge over Crested Weir?

With Max Discharge Over Broad Crested Weir (Q_W(max)), Length of Weir Crest (L_w) & Total Head (H) we can find Coefficient of Discharge for Max Discharge over Crested Weir using the formula - Coefficient of Discharge = Max 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=Discharge Over Broad Crested Weir/(1.70*Length of Weir Crest*(Total Head)^(3/2))

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