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Discharge through Submerged Weir if Velocity is Approached Formula

GoDischarge through Drowned Portion Formula

GoDischarge through Drowned Portion given Total Discharge over Submerged Weir Formula

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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. Check FAQs

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

Q₂ - Discharge through Drowned Portion?C_d - Coefficient of Discharge?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?

Discharge through Submerged Weir if Velocity is Approached Example

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

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

Here is how the Discharge through Submerged Weir if Velocity is Approached equation looks like.

108.1995 = 0.66 \cdot 3 \cdot 5.1 \cdot (\sqrt{2 \cdot 9.8 \cdot (10.1 - 5.1) + {4.1}^{2}})

108.1995m³/s = 0.66 \cdot 3m \cdot 5.1m \cdot (\sqrt{2 \cdot 9.8m/s² \cdot (10.1m - 5.1m) + {4.1m/s}^{2}})

108.1995 = 0.66 \cdot 3 \cdot 5.1 \cdot (\sqrt{2 \cdot 9.8 \cdot (10.1 - 5.1) + {4.1}^{2}})

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Discharge through Submerged Weir if Velocity is Approached Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Q 2 = 0.66 \cdot 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

∴

Q 2 = 0.66 \cdot 3 \cdot 5.1 \cdot (\sqrt{2 \cdot 9.8 \cdot (10.1 - 5.1) + {4.1}^{2}})

Next Step Evaluate

∴

Q 2 = 108.199492767942m³/s

LAST Step Rounding Answer

∴

Q 2 = 108.1995m³/s

Discharge through Submerged Weir if Velocity is Approached Formula Elements

Variables

Functions

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

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

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 Discharge through Drowned Portion

Go Discharge through Drowned Portion

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

Go Discharge through Drowned Portion given Total Discharge over Submerged Weir

Q 2 = Q T - Q 1

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 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}}}

How to Evaluate Discharge through Submerged Weir if Velocity is Approached?

Discharge through Submerged Weir if Velocity is Approached evaluator uses Discharge through Drowned Portion = Coefficient of Discharge*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 Discharge through Drowned Portion, The Discharge through submerged weir if velocity is approached is a measure of the quantity of any fluid flow over unit time. The quantity may be either volume or mass. Discharge through Drowned Portion is denoted by Q₂ symbol.

How to evaluate Discharge through Submerged Weir if Velocity is Approached using this online evaluator? To use this online evaluator for Discharge through Submerged Weir if Velocity is Approached, enter Coefficient of Discharge (C_d), 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 Discharge through Submerged Weir if Velocity is Approached

What is the formula to find Discharge through Submerged Weir if Velocity is Approached?

The formula of Discharge through Submerged Weir if Velocity is Approached is expressed as Discharge through Drowned Portion = Coefficient of Discharge*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- 108.1995 = 0.66*3*5.1*(sqrt(2*9.8*(10.1-5.1)+4.1^2)).

How to calculate Discharge through Submerged Weir if Velocity is Approached?

With Coefficient of Discharge (C_d), 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 Discharge through Submerged Weir if Velocity is Approached using the formula - Discharge through Drowned Portion = Coefficient of Discharge*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 Discharge through Drowned Portion?

Here are the different ways to Calculate Discharge through Drowned Portion-

Discharge through Drowned Portion=Coefficient of Discharge*(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))
Discharge through Drowned Portion=Total Discharge of Submerged Weir-Discharge through Free Portion

Can the Discharge through Submerged Weir if Velocity is Approached be negative?

Yes, the Discharge through Submerged Weir if Velocity is Approached, measured in Volumetric Flow Rate can be negative.

Which unit is used to measure Discharge through Submerged Weir if Velocity is Approached?

Discharge through Submerged Weir if Velocity is Approached is usually measured using the Cubic Meter per Second[m³/s] for Volumetric Flow Rate. Cubic Meter per Day[m³/s], Cubic Meter per Hour[m³/s], Cubic Meter per Minute[m³/s] are the few other units in which Discharge through Submerged Weir if Velocity is Approached can be measured.

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Discharge through Submerged Weir if Velocity is Approached Formula

​GoDischarge through Drowned Portion Formula

​GoDischarge through Drowned Portion given Total Discharge over Submerged Weir Formula

Discharge through Submerged Weir if Velocity is Approached Example

Discharge through Submerged Weir if Velocity is Approached Solution

Discharge through Submerged Weir if Velocity is Approached Formula Elements

Other Formulas to find Discharge through Drowned Portion

Other formulas in Submerged Weirs category

How to Evaluate Discharge through Submerged Weir if Velocity is Approached?

FAQs on Discharge through Submerged Weir if Velocity is Approached

Variable Name

GoDischarge through Drowned Portion Formula

GoDischarge through Drowned Portion given Total Discharge over Submerged Weir Formula