Total Discharge over Submerged Weir Solution

STEP 0: Pre-Calculation Summary
Formula Used
Total Discharge of Submerged Weir = Discharge through Free Portion+Discharge through Drowned Portion
QT = Q1+Q2
This formula uses 3 Variables
Variables Used
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 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.
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
Discharge through Free Portion: 50.1 Cubic Meter per Second --> 50.1 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
QT = Q1+Q2 --> 50.1+99.96
Evaluating ... ...
QT = 150.06
STEP 3: Convert Result to Output's Unit
150.06 Cubic Meter per Second --> No Conversion Required
FINAL ANSWER
150.06 Cubic Meter per Second <-- Total Discharge of Submerged Weir
(Calculation completed in 00.004 seconds)

Credits

Created by M Naveen
National Institute of Technology (NIT), Warangal
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National Institute of Technology Karnataka (NITK), Surathkal
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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

Total Discharge over Submerged Weir Formula

Total Discharge of Submerged Weir = Discharge through Free Portion+Discharge through Drowned Portion
QT = Q1+Q2

What does Discharge1 and Discharge2 mean?

Discharge1 and Discharge2 are flowing through the free end and the drowned portions respectively in the submerged weir

How to Calculate Total Discharge over Submerged Weir?

Total Discharge over Submerged Weir calculator uses Total Discharge of Submerged Weir = Discharge through Free Portion+Discharge through Drowned Portion to calculate the Total Discharge of Submerged Weir, The Total discharge over submerged weir is a measure of the quantity of any fluid flow over unit time. The quantity may be either volume or mass. Total Discharge of Submerged Weir is denoted by QT symbol.

How to calculate Total Discharge over Submerged Weir using this online calculator? To use this online calculator for Total Discharge over Submerged Weir, enter Discharge through Free Portion (Q1) & Discharge through Drowned Portion (Q2) and hit the calculate button. Here is how the Total Discharge over Submerged Weir calculation can be explained with given input values -> 174.8 = 50.1+99.96.

FAQ

What is Total Discharge over Submerged Weir?
The Total discharge over submerged weir is a measure of the quantity of any fluid flow over unit time. The quantity may be either volume or mass and is represented as QT = Q1+Q2 or Total Discharge of Submerged Weir = Discharge through Free Portion+Discharge through Drowned 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 & 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 Total Discharge over Submerged Weir?
The Total discharge over submerged weir is a measure of the quantity of any fluid flow over unit time. The quantity may be either volume or mass is calculated using Total Discharge of Submerged Weir = Discharge through Free Portion+Discharge through Drowned Portion. To calculate Total Discharge over Submerged Weir, you need Discharge through Free Portion (Q1) & Discharge through Drowned Portion (Q2). With our tool, you need to enter the respective value for Discharge through Free Portion & 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.
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