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Coefficient of Discharge through Flume given Discharge Flow through Channel Formula

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

C d = (\frac{Q}{A i \cdot A f} \cdot (\sqrt{\frac{({A i}^{2}) - ({A f}^{2})}{2 \cdot [g] \cdot (h i - h o)}}))

C_d - Coefficient of Discharge?Q - Discharge of Channel?A_i - Cross Section Area 1?A_f - Cross Section Area 2?h_i - Loss of Head at Entrance?h_o - Loss of Head at Exit?[g] - Gravitational acceleration on Earth?

Coefficient of Discharge through Flume given Discharge Flow through Channel Example

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Here is how the Coefficient of Discharge through Flume given Discharge Flow through Channel equation looks like with Values.

Here is how the Coefficient of Discharge through Flume given Discharge Flow through Channel equation looks like with Units.

Here is how the Coefficient of Discharge through Flume given Discharge Flow through Channel equation looks like.

0.7675 = (\frac{14}{7.1 \cdot 1.8} \cdot (\sqrt{\frac{({7.1}^{2}) - ({1.8}^{2})}{2 \cdot 9.8066 \cdot (20 - 15.1)}}))

0.7675 = (\frac{14m³/s}{7.1m² \cdot 1.8m²} \cdot (\sqrt{\frac{({7.1m²}^{2}) - ({1.8m²}^{2})}{2 \cdot 9.8066m/s² \cdot (20m - 15.1m)}}))

0.7675 = (\frac{14}{7.1 \cdot 1.8} \cdot (\sqrt{\frac{({7.1}^{2}) - ({1.8}^{2})}{2 \cdot 9.8066 \cdot (20 - 15.1)}}))

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Coefficient of Discharge through Flume given Discharge Flow through Channel Solution

Follow our step by step solution on how to calculate Coefficient of Discharge through Flume given Discharge Flow through Channel?

FIRST Step Consider the formula

C d = (\frac{Q}{A i \cdot A f} \cdot (\sqrt{\frac{({A i}^{2}) - ({A f}^{2})}{2 \cdot [g] \cdot (h i - h o)}}))

Next Step Substitute values of Variables

∴

C d = (\frac{14m³/s}{7.1m² \cdot 1.8m²} \cdot (\sqrt{\frac{({7.1m²}^{2}) - ({1.8m²}^{2})}{2 \cdot [g] \cdot (20m - 15.1m)}}))

Next Step Substitute values of Constants

∴

C d = (\frac{14m³/s}{7.1m² \cdot 1.8m²} \cdot (\sqrt{\frac{({7.1m²}^{2}) - ({1.8m²}^{2})}{2 \cdot 9.8066m/s² \cdot (20m - 15.1m)}}))

Next Step Prepare to Evaluate

∴

C d = (\frac{14}{7.1 \cdot 1.8} \cdot (\sqrt{\frac{({7.1}^{2}) - ({1.8}^{2})}{2 \cdot 9.8066 \cdot (20 - 15.1)}}))

Next Step Evaluate

∴

C d = 0.767461758351623

LAST Step Rounding Answer

∴

C d = 0.7675

Coefficient of Discharge through Flume given Discharge Flow through Channel Formula Elements

Variables

Constants

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

Discharge of Channel

Discharge of Channel is the rate of flow of a liquid.

Symbol: Q

Measurement: Volumetric Flow RateUnit: m³/s