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

✖Total Discharge of Submerged Weir is sum of the discharge from free and drowned portion.ⓘ Total Discharge of Submerged Weir [Q_T]			+10% -10%
✖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.ⓘ Discharge through Drowned Portion [Q₂]			+10% -10%

✖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.ⓘ Discharge through Free Weir Portion given Total Discharge over Submerged Weir [Q₁]

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Formula

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Discharge through Free Weir Portion given Total Discharge over Submerged Weir

Formula

`"Q"_{"1"} = "Q"_{"T"}-"Q"_{"2"}`

Example

`"74.74m³/s"="174.7m³/s"-"99.96m³/s"`

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

STEP 0: Pre-Calculation Summary

Formula Used

Discharge through Free Portion = Total Discharge of Submerged Weir-Discharge through Drowned Portion
Q₁ = Q_T-Q₂
This formula uses 3 Variables

Variables Used

Discharge through Free Portion - (Measured in Cubic Meter per Second) - 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.
Total Discharge of Submerged Weir - (Measured in Cubic Meter per Second) - Total Discharge of Submerged Weir is sum of the discharge from free and drowned portion.
Discharge through Drowned Portion - (Measured in Cubic Meter per Second) - 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.

STEP 1: Convert Input(s) to Base Unit

Total Discharge of Submerged Weir: 174.7 Cubic Meter per Second --> 174.7 Cubic Meter per Second No Conversion Required
Discharge through Drowned Portion: 99.96 Cubic Meter per Second --> 99.96 Cubic Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q₁ = Q_T-Q₂ --> 174.7-99.96

Evaluating ... ...

Q₁ = 74.74

STEP 3: Convert Result to Output's Unit

74.74 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

74.74 Cubic Meter per Second <-- Discharge through Free Portion

(Calculation completed in 00.004 seconds)

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National Institute of Technology (NIT), Warangal

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< 17 Submerged Weirs Calculators

Coefficient of Discharge if Velocity is Approached given Discharge through Free Weir

Go 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)))

Length of Crest for Discharge through Free Weir

Go Length of Weir Crest = (3*Discharge through Free Portion)/(2*Coefficient of Discharge*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)))

Discharge through Free Weir if Velocity is Approached

Go 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))

Coefficient of Discharge if Velocity is Approached for Submerged Weir

Go 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)))

Length of Crest for Discharge through Drowned Portion

Go Length of Weir Crest = Discharge through Drowned Portion/(Coefficient of Discharge*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)))

Discharge through Submerged Weir if Velocity is Approached

Go 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))

Coefficient of Discharge given Discharge through Drowned Portion

Go 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)))

Discharge through Drowned Portion

Go 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))

Head on Upstream Weir for Discharge through Drowned Portion

Go Head on Upstream of Weir = (Discharge through Drowned Portion/(Coefficient of Discharge*Length of Weir Crest*Head on Downstream of Weir))^2*(1/(2*Acceleration due to Gravity))+Head on Downstream of Weir

Head on Downstream Weir for Discharge through Free Weir Portion

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

Coefficient of Discharge given Discharge through Free Weir Portion

Go 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))

Head on Upstream Weir given Discharge through Free Weir Portion

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

Length of Crest for Discharge through Free Weir Portion

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

Discharge through Free Weir Portion

Go 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 Weir Portion given Total Discharge over Submerged Weir

Go Discharge through Free Portion = Total Discharge of Submerged Weir-Discharge through Drowned Portion

Discharge through Drowned Portion given Total Discharge over Submerged Weir

Go Discharge through Drowned Portion = Total Discharge of Submerged Weir-Discharge through Free Portion

Total Discharge over Submerged Weir

Go Total Discharge of Submerged Weir = Discharge through Free Portion+Discharge through Drowned Portion

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

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

What is Total Discharge?

The Total Discharge(Q) over a Submerged Weir is a measure of the quantity of any fluid flow over unit time. The quantity may be either volume or mass.

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

Discharge through Free Weir Portion given Total Discharge over Submerged Weir calculator uses Discharge through Free Portion = Total Discharge of Submerged Weir-Discharge through Drowned Portion to calculate 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 calculate Discharge through Free Weir Portion given Total Discharge over Submerged Weir using this online calculator? To use this online calculator 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. Here is how the Discharge through Free Weir Portion given Total Discharge over Submerged Weir calculation can be explained with given input values -> 50 = 174.7-99.96.

FAQ

What is Discharge through Free Weir Portion given Total Discharge over Submerged Weir?

Discharge through free weir portion given total discharge over submerged weir is flowing through free end portion of submerged weir and is represented as Q₁ = Q_T-Q₂ or Discharge through Free Portion = Total Discharge of Submerged Weir-Discharge through Drowned Portion. Total Discharge of Submerged Weir is sum of the discharge from free and 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.

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

Discharge through free weir portion given total discharge over submerged weir is flowing through free end portion of submerged weir is calculated using Discharge through Free Portion = Total Discharge of Submerged Weir-Discharge through Drowned Portion. To calculate Discharge through Free Weir Portion given Total Discharge over Submerged Weir, you need Total Discharge of Submerged Weir (Q_T) & Discharge through Drowned Portion (Q₂). With our tool, you need to enter the respective value for Total Discharge of Submerged Weir & Discharge through Drowned Portion and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Discharge through Free Portion?

In this formula, Discharge through Free Portion uses Total Discharge of Submerged Weir & Discharge through Drowned Portion. We can use 2 other way(s) to calculate the same, which is/are as follows -

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))

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