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Coefficient of Discharge given Discharge if Velocity not considered Formula

GoCoefficient of Discharge given Discharge over Weir without considering Velocity Formula

GoCoefficient of Discharge given Discharge Passing over Weir considering Velocity 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 - 0.1 \cdot n \cdot S w) \cdot {S w}^{\frac{3}{2}}}

C_d - Coefficient of Discharge?Q_Fr - Francis Discharge?g - Acceleration due to Gravity?L_w - Length of Weir Crest?n - Number of End Contraction?S_w - Height of Water above Crest of Weir?

Coefficient of Discharge given Discharge if Velocity not considered Example

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Here is how the Coefficient of Discharge given Discharge if Velocity not considered equation looks like with Values.

Here is how the Coefficient of Discharge given Discharge if Velocity not considered equation looks like with Units.

Here is how the Coefficient of Discharge given Discharge if Velocity not considered equation looks like.

0.4356 = \frac{8 \cdot 3}{2 \cdot (\sqrt{2 \cdot 9.8}) \cdot (3 - 0.1 \cdot 4 \cdot 2) \cdot 2^{\frac{3}{2}}}

0.4356 = \frac{8m³/s \cdot 3}{2 \cdot (\sqrt{2 \cdot 9.8m/s²}) \cdot (3m - 0.1 \cdot 4 \cdot 2m) \cdot {2m}^{\frac{3}{2}}}

0.4356 = \frac{8 \cdot 3}{2 \cdot (\sqrt{2 \cdot 9.8}) \cdot (3 - 0.1 \cdot 4 \cdot 2) \cdot 2^{\frac{3}{2}}}

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Coefficient of Discharge given Discharge if Velocity not considered Solution

Follow our step by step solution on how to calculate Coefficient of Discharge given Discharge if Velocity not considered?

FIRST Step Consider the formula

C d = \frac{Q Fr \cdot 3}{2 \cdot (\sqrt{2 \cdot g}) \cdot (L w - 0.1 \cdot n \cdot S w) \cdot {S w}^{\frac{3}{2}}}

Next Step Substitute values of Variables

∴

C d = \frac{8m³/s \cdot 3}{2 \cdot (\sqrt{2 \cdot 9.8m/s²}) \cdot (3m - 0.1 \cdot 4 \cdot 2m) \cdot {2m}^{\frac{3}{2}}}

Next Step Prepare to Evaluate

∴

C d = \frac{8 \cdot 3}{2 \cdot (\sqrt{2 \cdot 9.8}) \cdot (3 - 0.1 \cdot 4 \cdot 2) \cdot 2^{\frac{3}{2}}}

Next Step Evaluate

∴

C d = 0.435597657954504

LAST Step Rounding Answer

∴

C d = 0.4356

Coefficient of Discharge given Discharge if Velocity not considered 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

Francis Discharge is calculated from the empirical formula given by Francis.

Symbol: Q_Fr

Measurement: Volumetric Flow RateUnit: m³/s