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Discharge through Free Weir if Velocity is Approached Formula

GoDischarge through Free Weir Portion Formula

GoDischarge through Free Weir Portion given Total Discharge over Submerged Weir Formula

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Discharge through Free Portion is a measure of the quantity of fluid flow over unit time, representing the quantity in between the upstream and downstream portion. Check FAQs

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

Q₁ - Discharge through Free Portion?C_d - Coefficient of Discharge?L_w - Length of Weir Crest?g - Acceleration due to Gravity?H_Upstream - Head on Upstream of Weir?h₂ - Head on Downstream of Weir?v_su - Velocity over Submerged Weir?

Discharge through Free Weir if Velocity is Approached Example

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

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

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

78.2074 = (\frac{2}{3}) \cdot 0.66 \cdot 3 \cdot \sqrt{2 \cdot 9.8} \cdot ({((10.1 - 5.1) + (\frac{{4.1}^{2}}{2 \cdot 9.8}))}^{\frac{3}{2}} - {(\frac{{4.1}^{2}}{2 \cdot 9.8})}^{\frac{3}{2}})

78.2074m³/s = (\frac{2}{3}) \cdot 0.66 \cdot 3m \cdot \sqrt{2 \cdot 9.8m/s²} \cdot ({((10.1m - 5.1m) + (\frac{{4.1m/s}^{2}}{2 \cdot 9.8m/s²}))}^{\frac{3}{2}} - {(\frac{{4.1m/s}^{2}}{2 \cdot 9.8m/s²})}^{\frac{3}{2}})

78.2074 = (\frac{2}{3}) \cdot 0.66 \cdot 3 \cdot \sqrt{2 \cdot 9.8} \cdot ({((10.1 - 5.1) + (\frac{{4.1}^{2}}{2 \cdot 9.8}))}^{\frac{3}{2}} - {(\frac{{4.1}^{2}}{2 \cdot 9.8})}^{\frac{3}{2}})

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Hydraulics and Waterworks » fx Discharge through Free Weir if Velocity is Approached

Discharge through Free Weir if Velocity is Approached Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Q 1 = (\frac{2}{3}) \cdot 0.66 \cdot 3m \cdot \sqrt{2 \cdot 9.8m/s²} \cdot ({((10.1m - 5.1m) + (\frac{{4.1m/s}^{2}}{2 \cdot 9.8m/s²}))}^{\frac{3}{2}} - {(\frac{{4.1m/s}^{2}}{2 \cdot 9.8m/s²})}^{\frac{3}{2}})

Next Step Prepare to Evaluate

∴

Q 1 = (\frac{2}{3}) \cdot 0.66 \cdot 3 \cdot \sqrt{2 \cdot 9.8} \cdot ({((10.1 - 5.1) + (\frac{{4.1}^{2}}{2 \cdot 9.8}))}^{\frac{3}{2}} - {(\frac{{4.1}^{2}}{2 \cdot 9.8})}^{\frac{3}{2}})

Next Step Evaluate

∴

Q 1 = 78.2074130097869m³/s

LAST Step Rounding Answer

∴

Q 1 = 78.2074m³/s

Discharge through Free Weir if Velocity is Approached Formula Elements

Variables

Functions

Discharge through Free Portion

Discharge through Free Portion is a measure of the quantity of fluid flow over unit time, representing the quantity in between the upstream and downstream portion.

Symbol: Q₁

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

Formulas to find Discharge through Free 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

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

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

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 Free Portion

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 Discharge through Free Weir Portion given Total Discharge over Submerged Weir

Q 1 = Q T - Q 2

Other formulas in Submerged Weirs category

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 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 Discharge through Free Weir if Velocity is Approached?

Discharge through Free Weir if Velocity is Approached evaluator uses Discharge through Free Portion = (2/3)*Coefficient of Discharge*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)) to evaluate the Discharge through Free Portion, The Discharge through free 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 Free Portion is denoted by Q₁ symbol.

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

FAQs on Discharge through Free Weir if Velocity is Approached

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

The formula of Discharge through Free Weir if Velocity is Approached is expressed as Discharge through Free Portion = (2/3)*Coefficient of Discharge*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)). Here is an example- 78.20741 = (2/3)*0.66*3*sqrt(2*9.8)*(((10.1-5.1)+(4.1^2/(2*9.8)))^(3/2)-(4.1^2/(2*9.8))^(3/2)).

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

With Coefficient of Discharge (C_d), Length of Weir Crest (L_w), Acceleration due to Gravity (g), Head on Upstream of Weir (H_Upstream), Head on Downstream of Weir (h₂) & Velocity over Submerged Weir (v_su) we can find Discharge through Free Weir if Velocity is Approached using the formula - Discharge through Free Portion = (2/3)*Coefficient of Discharge*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)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Discharge through Free Portion?

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

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

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

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

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

Discharge through Free 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 Free Weir if Velocity is Approached can be measured.

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Discharge through Free Weir if Velocity is Approached Formula

​GoDischarge through Free Weir Portion Formula

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

Discharge through Free Weir if Velocity is Approached Example

Discharge through Free Weir if Velocity is Approached Solution

Discharge through Free Weir if Velocity is Approached Formula Elements

Other Formulas to find Discharge through Free Portion

Other formulas in Submerged Weirs category

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

FAQs on Discharge through Free Weir if Velocity is Approached

Variable Name

GoDischarge through Free Weir Portion Formula

GoDischarge through Free Weir Portion given Total Discharge over Submerged Weir Formula