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Coefficient of Discharge if Velocity is Approached for Submerged Weir Formula

GoCoefficient of Discharge given Discharge through Free Weir Portion Formula

GoCoefficient of Discharge given Discharge through Drowned Portion Formula

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

C d = \frac{Q 2}{L w \cdot h 2 \cdot (\sqrt{2 \cdot g \cdot (H Upstream - h 2) + {v su}^{2}})}

C_d - Coefficient of Discharge?Q₂ - Discharge through Drowned Portion?L_w - Length of Weir Crest?h₂ - Head on Downstream of Weir?g - Acceleration due to Gravity?H_Upstream - Head on Upstream of Weir?v_su - Velocity over Submerged Weir?

Coefficient of Discharge if Velocity is Approached for Submerged Weir Example

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Here is how the Coefficient of Discharge if Velocity is Approached for Submerged Weir equation looks like with Values.

Here is how the Coefficient of Discharge if Velocity is Approached for Submerged Weir equation looks like with Units.

Here is how the Coefficient of Discharge if Velocity is Approached for Submerged Weir equation looks like.

0.6097 = \frac{99.96}{3 \cdot 5.1 \cdot (\sqrt{2 \cdot 9.8 \cdot (10.1 - 5.1) + {4.1}^{2}})}

0.6097 = \frac{99.96m³/s}{3m \cdot 5.1m \cdot (\sqrt{2 \cdot 9.8m/s² \cdot (10.1m - 5.1m) + {4.1m/s}^{2}})}

0.6097 = \frac{99.96}{3 \cdot 5.1 \cdot (\sqrt{2 \cdot 9.8 \cdot (10.1 - 5.1) + {4.1}^{2}})}

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Coefficient of Discharge if Velocity is Approached for Submerged Weir Solution

Follow our step by step solution on how to calculate Coefficient of Discharge if Velocity is Approached for Submerged Weir?

FIRST Step Consider the formula

C d = \frac{Q 2}{L w \cdot h 2 \cdot (\sqrt{2 \cdot g \cdot (H Upstream - h 2) + {v su}^{2}})}

Next Step Substitute values of Variables

∴

C d = \frac{99.96m³/s}{3m \cdot 5.1m \cdot (\sqrt{2 \cdot 9.8m/s² \cdot (10.1m - 5.1m) + {4.1m/s}^{2}})}

Next Step Prepare to Evaluate

∴

C d = \frac{99.96}{3 \cdot 5.1 \cdot (\sqrt{2 \cdot 9.8 \cdot (10.1 - 5.1) + {4.1}^{2}})}

Next Step Evaluate

∴

C d = 0.609740381514495

LAST Step Rounding Answer

∴

C d = 0.6097

Coefficient of Discharge if Velocity is Approached for Submerged Weir 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

Discharge through Drowned Portion

Discharge through Drowned Portion is a measure of the quantity of fluid flow over unit time, representing the quantity of water in between the downstream and the crest of the water.

Symbol: Q₂

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

Formulas to find Discharge through Drowned Portion

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

Head on Downstream of Weir

Head on Downstream of Weir pertains to the energy status of water in water flow systems and is useful for describing flow in hydraulic structures.

Symbol: h₂

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Head on Downstream of Weir

Acceleration due to Gravity

The Acceleration due to Gravity is acceleration gained by an object because of gravitational force.

Symbol: g

Measurement: AccelerationUnit: m/s²

Note: Value should be greater than 0.

Formulas to find Acceleration due to Gravity

Head on Upstream of Weir

Head on Upstream of Weirr pertains to the energy status of water in water flow systems and is useful for describing flow in hydraulic structures.

Symbol: H_Upstream

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Head on Upstream of Weir

Velocity over Submerged Weir

Velocity over Submerged Weir is the rate of change of the position of an object with respect to time.

Symbol: v_su

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Velocity over Submerged Weir

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Coefficient of Discharge

Go Coefficient of Discharge given Discharge through Free Weir Portion

C d = \frac{3 \cdot Q 1}{2 \cdot L w \cdot \sqrt{2 \cdot g} \cdot {(H Upstream - h 2)}^{\frac{3}{2}}}

Go Coefficient of Discharge given Discharge through Drowned Portion

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

Other formulas in Submerged Weirs category

Go Discharge through Free Weir Portion

Q 1 = (\frac{2}{3}) \cdot C d \cdot L w \cdot \sqrt{2 \cdot g} \cdot {(H Upstream - h 2)}^{\frac{3}{2}}

Go Length of Crest for Discharge through Free Weir Portion

L w = \frac{3 \cdot Q 1}{2 \cdot C d \cdot \sqrt{2 \cdot g} \cdot {(H Upstream - h 2)}^{\frac{3}{2}}}

How to Evaluate Coefficient of Discharge if Velocity is Approached for Submerged Weir?

Coefficient of Discharge if Velocity is Approached for Submerged Weir evaluator uses Coefficient of Discharge = Discharge through Drowned Portion/(Length of Weir Crest*Head on Downstream of Weir*(sqrt(2*Acceleration due to Gravity*(Head on Upstream of Weir-Head on Downstream of Weir)+Velocity over Submerged Weir^2))) to evaluate the Coefficient of Discharge, The Coefficient of discharge if velocity is approached for submerged weir is stated as the ratio between the actual flow discharge and theoretical flow discharge. Coefficient of Discharge is denoted by C_d symbol.

How to evaluate Coefficient of Discharge if Velocity is Approached for Submerged Weir using this online evaluator? To use this online evaluator for Coefficient of Discharge if Velocity is Approached for Submerged Weir, enter Discharge through Drowned Portion (Q₂), Length of Weir Crest (L_w), Head on Downstream of Weir (h₂), Acceleration due to Gravity (g), Head on Upstream of Weir (H_Upstream) & Velocity over Submerged Weir (v_su) and hit the calculate button.

FAQs on Coefficient of Discharge if Velocity is Approached for Submerged Weir

What is the formula to find Coefficient of Discharge if Velocity is Approached for Submerged Weir?

The formula of Coefficient of Discharge if Velocity is Approached for Submerged Weir is expressed as Coefficient of Discharge = Discharge through Drowned Portion/(Length of Weir Crest*Head on Downstream of Weir*(sqrt(2*Acceleration due to Gravity*(Head on Upstream of Weir-Head on Downstream of Weir)+Velocity over Submerged Weir^2))). Here is an example- 0.760651 = 99.96/(3*5.1*(sqrt(2*9.8*(10.1-5.1)+4.1^2))).

How to calculate Coefficient of Discharge if Velocity is Approached for Submerged Weir?

With Discharge through Drowned Portion (Q₂), Length of Weir Crest (L_w), Head on Downstream of Weir (h₂), Acceleration due to Gravity (g), Head on Upstream of Weir (H_Upstream) & Velocity over Submerged Weir (v_su) we can find Coefficient of Discharge if Velocity is Approached for Submerged Weir using the formula - Coefficient of Discharge = Discharge through Drowned Portion/(Length of Weir Crest*Head on Downstream of Weir*(sqrt(2*Acceleration due to Gravity*(Head on Upstream of Weir-Head on Downstream of Weir)+Velocity over Submerged Weir^2))). This formula also uses Square Root Function function(s).

What are the other ways to Calculate Coefficient of Discharge?

Here are the different ways to Calculate Coefficient of Discharge-

Coefficient of Discharge=(3*Discharge through Free Portion)/(2*Length of Weir Crest*sqrt(2*Acceleration due to Gravity)*(Head on Upstream of Weir-Head on Downstream of Weir)^(3/2))
Coefficient of Discharge=Discharge through Drowned Portion/((Length of Weir Crest*Head on Downstream of Weir)*sqrt(2*Acceleration due to Gravity*(Head on Upstream of Weir-Head on Downstream of Weir)))
Coefficient of Discharge=(3*Discharge through Free Portion)/(2*Length of Weir Crest*sqrt(2*Acceleration due to Gravity)*(((Head on Upstream of Weir-Head on Downstream of Weir)+(Velocity over Submerged Weir^2/(2*Acceleration due to Gravity)))^(3/2)-(Velocity over Submerged Weir^2/(2*Acceleration due to Gravity))^(3/2)))

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Coefficient of Discharge if Velocity is Approached for Submerged Weir Formula

​GoCoefficient of Discharge given Discharge through Free Weir Portion Formula

​GoCoefficient of Discharge given Discharge through Drowned Portion Formula

Coefficient of Discharge if Velocity is Approached for Submerged Weir Example

Coefficient of Discharge if Velocity is Approached for Submerged Weir Solution

Coefficient of Discharge if Velocity is Approached for Submerged Weir Formula Elements

Other Formulas to find Coefficient of Discharge

Other formulas in Submerged Weirs category

How to Evaluate Coefficient of Discharge if Velocity is Approached for Submerged Weir?

FAQs on Coefficient of Discharge if Velocity is Approached for Submerged Weir

Variable Name

GoCoefficient of Discharge given Discharge through Free Weir Portion Formula

GoCoefficient of Discharge given Discharge through Drowned Portion Formula