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The Coefficient of Discharge is ratio of actual discharge to theoretical discharge. Check FAQs
Cd=Q2Lw⋅h2⋅(2⋅g⋅(HUpstream-h2)+vsu2)
Cd - Coefficient of Discharge?Q2 - Discharge through Drowned Portion?Lw - Length of Weir Crest?h2 - Head on Downstream of Weir?g - Acceleration due to Gravity?HUpstream - Head on Upstream of Weir?vsu - 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.

0.6097Edit=99.96Edit3Edit⋅5.1Edit⋅(2⋅9.8Edit⋅(10.1Edit-5.1Edit)+4.1Edit2)
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Home » Engineering » Civil » Hydraulics and Waterworks » Coefficient of Discharge if Velocity is Approached for Submerged Weir

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
Cd=Q2Lw⋅h2⋅(2⋅g⋅(HUpstream-h2)+vsu2)
Next Step Substitute values of Variables
∴ Cd=99.96m³/s3m⋅5.1m⋅(2⋅9.8m/s²⋅(10.1m-5.1m)+4.1m/s2)
Next Step Prepare to Evaluate
∴ Cd=99.963⋅5.1⋅(2⋅9.8⋅(10.1-5.1)+4.12)
Next Step Evaluate
∴Cd=0.609740381514495
LAST Step Rounding Answer
∴Cd=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: Cd
Measurement: NAUnit: Unitless
Note: Value should be between 0 to 1.2.
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.
Length of Weir Crest
Length of Weir Crest is the measurement or extent of Weir Crest from end to end.
Symbol: Lw
Measurement: LengthUnit: m
Note: Value should be greater than 0.
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.
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.
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: HUpstream
Measurement: LengthUnit: m
Note: Value can be positive or negative.
Velocity over Submerged Weir
Velocity over Submerged Weir is the rate of change of the position of an object with respect to time.
Symbol: vsu
Measurement: SpeedUnit: m/s
Note: Value should be greater than 0.
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)

Credits

Creator Image
Created by M Naveen
National Institute of Technology (NIT), Warangal
M Naveen has created this Formula and 500+ more formulas!
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Verified by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
Rithik Agrawal has verified this Formula and 400+ more formulas!

Other Formulas to find Coefficient of Discharge

​Go Coefficient of Discharge given Discharge through Free Weir Portion
Cd=3⋅Q12⋅Lw⋅2⋅g⋅(HUpstream-h2)32
​Go Coefficient of Discharge given Discharge through Drowned Portion
Cd=Q2(Lw⋅h2)⋅2⋅g⋅(HUpstream-h2)

Other formulas in Submerged Weirs category

​Go Discharge through Free Weir Portion
Q1=(23)⋅Cd⋅Lw⋅2⋅g⋅(HUpstream-h2)32
​Go Length of Crest for Discharge through Free Weir Portion
Lw=3⋅Q12⋅Cd⋅2⋅g⋅(HUpstream-h2)32

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 Cd 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 (Lw), Head on Downstream of Weir (h2), Acceleration due to Gravity (g), Head on Upstream of Weir (HUpstream) & Velocity over Submerged Weir (vsu) 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 (Lw), Head on Downstream of Weir (h2), Acceleration due to Gravity (g), Head on Upstream of Weir (HUpstream) & Velocity over Submerged Weir (vsu) 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 (sqrt) 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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