Coefficient of Discharge given Discharge through Free Weir Portion Calculator

✖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 Portion [Q₁]			+10% -10%
✖Length of Weir Crest is the measurement or extent of Weir Crest from end to end.ⓘ Length of Weir Crest [L_w]			+10% -10%
✖The Acceleration due to Gravity is acceleration gained by an object because of gravitational force.ⓘ Acceleration due to Gravity [g]			+10% -10%
✖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.ⓘ Head on Upstream of Weir [H_Upstream]			+10% -10%
✖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.ⓘ Head on Downstream of Weir [h₂]			+10% -10%

✖The Coefficient of Discharge is ratio of actual discharge to theoretical discharge.ⓘ Coefficient of Discharge given Discharge through Free Weir Portion [C_d]

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Coefficient of Discharge given Discharge through Free Weir Portion Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
C_d = (3*Q₁)/(2*L_w*sqrt(2*g)*(H_Upstream-h₂)^(3/2))
This formula uses 1 Functions, 6 Variables

Functions Used

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., sqrt(Number)

Variables Used

Coefficient of Discharge - The Coefficient of Discharge is ratio of actual discharge to theoretical discharge.
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.
Length of Weir Crest - (Measured in Meter) - Length of Weir Crest is the measurement or extent of Weir Crest from end to end.
Acceleration due to Gravity - (Measured in Meter per Square Second) - The Acceleration due to Gravity is acceleration gained by an object because of gravitational force.
Head on Upstream of Weir - (Measured in Meter) - 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.
Head on Downstream of Weir - (Measured in Meter) - 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.

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
Length of Weir Crest: 3 Meter --> 3 Meter No Conversion Required
Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Head on Upstream of Weir: 10.1 Meter --> 10.1 Meter No Conversion Required
Head on Downstream of Weir: 5.1 Meter --> 5.1 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_d = (3*Q₁)/(2*L_w*sqrt(2*g)*(H_Upstream-h₂)^(3/2)) --> (3*50.1)/(2*3*sqrt(2*9.8)*(10.1-5.1)^(3/2))

Evaluating ... ...

C_d = 0.506086424820658

STEP 3: Convert Result to Output's Unit

0.506086424820658 --> No Conversion Required

FINAL ANSWER

0.506086424820658 ≈ 0.506086 <-- Coefficient of Discharge

(Calculation completed in 00.008 seconds)

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< Submerged Weirs Calculators

Coefficient of Discharge given Discharge through Free Weir Portion

LaTeX 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

LaTeX 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

LaTeX 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

LaTeX 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)

Coefficient of Discharge given Discharge through Free Weir Portion Formula

LaTeX Go

What does Discharge mean?

The Discharge(Q1) through Free Weir Portion is a measure of the quantity of any fluid flow over unit time. The quantity may be either volume or mass.

How to Calculate Coefficient of Discharge given Discharge through Free Weir Portion?

Coefficient of Discharge given Discharge through Free Weir Portion calculator uses 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)) to calculate the Coefficient of Discharge, Coefficient of discharge given discharge through free weir portion is stated as ratio between actual flow discharge and theoretical flow discharge. Coefficient of Discharge is denoted by C_d symbol.

How to calculate Coefficient of Discharge given Discharge through Free Weir Portion using this online calculator? To use this online calculator for Coefficient of Discharge given Discharge through Free Weir Portion, enter Discharge through Free Portion (Q₁), Length of Weir Crest (L_w), Acceleration due to Gravity (g), Head on Upstream of Weir (H_Upstream) & Head on Downstream of Weir (h₂) and hit the calculate button. Here is how the Coefficient of Discharge given Discharge through Free Weir Portion calculation can be explained with given input values -> 0.506086 = (3*50.1)/(2*3*sqrt(2*9.8)*(10.1-5.1)^(3/2)).

FAQ

What is Coefficient of Discharge given Discharge through Free Weir Portion?

Coefficient of discharge given discharge through free weir portion is stated as ratio between actual flow discharge and theoretical flow discharge and is represented as C_d = (3*Q₁)/(2*L_w*sqrt(2*g)*(H_Upstream-h₂)^(3/2)) or 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)). 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, Length of Weir Crest is the measurement or extent of Weir Crest from end to end, The Acceleration due to Gravity is acceleration gained by an object because of gravitational force, 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 & 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.

How to calculate Coefficient of Discharge given Discharge through Free Weir Portion?

Coefficient of discharge given discharge through free weir portion is stated as ratio between actual flow discharge and theoretical flow discharge is calculated using 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)). To calculate Coefficient of Discharge given Discharge through Free Weir Portion, you need Discharge through Free Portion (Q₁), Length of Weir Crest (L_w), Acceleration due to Gravity (g), Head on Upstream of Weir (H_Upstream) & Head on Downstream of Weir (h₂). With our tool, you need to enter the respective value for Discharge through Free Portion, Length of Weir Crest, Acceleration due to Gravity, Head on Upstream of Weir & Head on Downstream of Weir 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 Coefficient of Discharge?

In this formula, Coefficient of Discharge uses Discharge through Free Portion, Length of Weir Crest, Acceleration due to Gravity, Head on Upstream of Weir & Head on Downstream of Weir. We can use 3 other way(s) to calculate the same, which is/are as follows -

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)))
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)))
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)))

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