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

GoDischarge through Free Weir Portion Formula

GoDischarge through Free Weir if Velocity is Approached 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 = Q T - Q 2

Q₁ - Discharge through Free Portion?Q_T - Total Discharge of Submerged Weir?Q₂ - Discharge through Drowned Portion?

Discharge through Free Weir Portion given Total Discharge over Submerged Weir Example

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Here is how the Discharge through Free Weir Portion given Total Discharge over Submerged Weir equation looks like with Values.

Here is how the Discharge through Free Weir Portion given Total Discharge over Submerged Weir equation looks like with Units.

Here is how the Discharge through Free Weir Portion given Total Discharge over Submerged Weir equation looks like.

74.74 = 174.7 - 99.96

74.74m³/s = 174.7m³/s - 99.96m³/s

74.74 = 174.7 - 99.96

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Discharge through Free Weir Portion given Total Discharge over Submerged Weir Solution

Follow our step by step solution on how to calculate Discharge through Free Weir Portion given Total Discharge over Submerged Weir?

FIRST Step Consider the formula

Q 1 = Q T - Q 2

Next Step Substitute values of Variables

∴

Q 1 = 174.7m³/s - 99.96m³/s

Next Step Prepare to Evaluate

∴

Q 1 = 174.7 - 99.96

LAST Step Evaluate

∴

Q 1 = 74.74m³/s

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

Variables

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

Total Discharge of Submerged Weir

Total Discharge of Submerged Weir is sum of the discharge from free and drowned portion.

Symbol: Q_T

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

Formulas to find Total Discharge of Submerged Weir

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

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 if Velocity is Approached

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}})

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}}}

Go Head on Upstream Weir given Discharge through Free Weir Portion

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

Go Head on Downstream Weir for Discharge through Free Weir Portion

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

How to Evaluate Discharge through Free Weir Portion given Total Discharge over Submerged Weir?

Discharge through Free Weir Portion given Total Discharge over Submerged Weir evaluator uses Discharge through Free Portion = Total Discharge of Submerged Weir-Discharge through Drowned Portion to evaluate the Discharge through Free Portion, Discharge through free weir portion given total discharge over submerged weir is flowing through free end portion of submerged weir. Discharge through Free Portion is denoted by Q₁ symbol.

How to evaluate Discharge through Free Weir Portion given Total Discharge over Submerged Weir using this online evaluator? To use this online evaluator for Discharge through Free Weir Portion given Total Discharge over Submerged Weir, enter Total Discharge of Submerged Weir (Q_T) & Discharge through Drowned Portion (Q₂) and hit the calculate button.

FAQs on Discharge through Free Weir Portion given Total Discharge over Submerged Weir

What is the formula to find Discharge through Free Weir Portion given Total Discharge over Submerged Weir?

The formula of Discharge through Free Weir Portion given Total Discharge over Submerged Weir is expressed as Discharge through Free Portion = Total Discharge of Submerged Weir-Discharge through Drowned Portion. Here is an example- 50 = 174.7-99.96.

How to calculate Discharge through Free Weir Portion given Total Discharge over Submerged Weir?

With Total Discharge of Submerged Weir (Q_T) & Discharge through Drowned Portion (Q₂) we can find Discharge through Free Weir Portion given Total Discharge over Submerged Weir using the formula - Discharge through Free Portion = Total Discharge of Submerged Weir-Discharge through Drowned Portion.

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=(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))

Can the Discharge through Free Weir Portion given Total Discharge over Submerged Weir be negative?

Yes, the Discharge through Free Weir Portion given Total Discharge over Submerged Weir, measured in Volumetric Flow Rate can be negative.

Which unit is used to measure Discharge through Free Weir Portion given Total Discharge over Submerged Weir?

Discharge through Free Weir Portion given Total Discharge over Submerged Weir 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 Portion given Total Discharge over Submerged Weir can be measured.

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: Unit

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

​GoDischarge through Free Weir Portion Formula

​GoDischarge through Free Weir if Velocity is Approached Formula

Discharge through Free Weir Portion given Total Discharge over Submerged Weir Example

Discharge through Free Weir Portion given Total Discharge over Submerged Weir Solution

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

Other Formulas to find Discharge through Free Portion

Other formulas in Submerged Weirs category

How to Evaluate Discharge through Free Weir Portion given Total Discharge over Submerged Weir?

FAQs on Discharge through Free Weir Portion given Total Discharge over Submerged Weir

Variable Name

GoDischarge through Free Weir Portion Formula

GoDischarge through Free Weir if Velocity is Approached Formula