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Coefficient of Discharge given Discharge Passing over Weir considering Velocity Formula

GoCoefficient of Discharge given Discharge over Weir without considering Velocity Formula

GoCoefficient of Discharge given Discharge if Velocity not considered Formula

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

C d = \frac{Q Fr' \cdot 3}{2 \cdot (\sqrt{2 \cdot g}) \cdot L w \cdot ({(S w + H V)}^{\frac{3}{2}} - {H V}^{\frac{3}{2}})}

C_d - Coefficient of Discharge?Q_Fr' - Francis Discharge with Suppressed End?g - Acceleration due to Gravity?L_w - Length of Weir Crest?S_w - Height of Water above Crest of Weir?H_V - Velocity Head?

Coefficient of Discharge given Discharge Passing over Weir considering Velocity Example

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Here is how the Coefficient of Discharge given Discharge Passing over Weir considering Velocity equation looks like with Values.

Here is how the Coefficient of Discharge given Discharge Passing over Weir considering Velocity equation looks like with Units.

Here is how the Coefficient of Discharge given Discharge Passing over Weir considering Velocity equation looks like.

0.446 = \frac{28 \cdot 3}{2 \cdot (\sqrt{2 \cdot 9.8}) \cdot 3 \cdot ({(2 + 4.6)}^{\frac{3}{2}} - {4.6}^{\frac{3}{2}})}

0.446 = \frac{28m³/s \cdot 3}{2 \cdot (\sqrt{2 \cdot 9.8m/s²}) \cdot 3m \cdot ({(2m + 4.6m)}^{\frac{3}{2}} - {4.6m}^{\frac{3}{2}})}

0.446 = \frac{28 \cdot 3}{2 \cdot (\sqrt{2 \cdot 9.8}) \cdot 3 \cdot ({(2 + 4.6)}^{\frac{3}{2}} - {4.6}^{\frac{3}{2}})}

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Coefficient of Discharge given Discharge Passing over Weir considering Velocity Solution

Follow our step by step solution on how to calculate Coefficient of Discharge given Discharge Passing over Weir considering Velocity?

FIRST Step Consider the formula

C d = \frac{Q Fr' \cdot 3}{2 \cdot (\sqrt{2 \cdot g}) \cdot L w \cdot ({(S w + H V)}^{\frac{3}{2}} - {H V}^{\frac{3}{2}})}

Next Step Substitute values of Variables

∴

C d = \frac{28m³/s \cdot 3}{2 \cdot (\sqrt{2 \cdot 9.8m/s²}) \cdot 3m \cdot ({(2m + 4.6m)}^{\frac{3}{2}} - {4.6m}^{\frac{3}{2}})}

Next Step Prepare to Evaluate

∴

C d = \frac{28 \cdot 3}{2 \cdot (\sqrt{2 \cdot 9.8}) \cdot 3 \cdot ({(2 + 4.6)}^{\frac{3}{2}} - {4.6}^{\frac{3}{2}})}

Next Step Evaluate

∴

C d = 0.446031612289512

LAST Step Rounding Answer

∴

C d = 0.446

Coefficient of Discharge given Discharge Passing over Weir considering Velocity 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

Francis Discharge with Suppressed End

Francis Discharge with Suppressed End is discharge of flow without the end contraction.

Symbol: Q_Fr'

Measurement: Volumetric Flow RateUnit: m³/s