Length of Crest for Discharge through Free Weir 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%
✖The Coefficient of Discharge is ratio of actual discharge to theoretical discharge.ⓘ Coefficient of Discharge [C_d]			+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%
✖Velocity over Submerged Weir is the rate of change of the position of an object with respect to time.ⓘ Velocity over Submerged Weir [v_su]			+10% -10%

✖Length of Weir Crest is the measurement or extent of Weir Crest from end to end.ⓘ Length of Crest for Discharge through Free Weir [L_w]

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Length of Crest for Discharge through Free Weir Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)))
L_w = (3*Q₁)/(2*C_d*sqrt(2*g)*(((H_Upstream-h₂)+(v_su^2/(2*g)))^(3/2)-(v_su^2/(2*g))^(3/2)))
This formula uses 1 Functions, 7 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

Length of Weir Crest - (Measured in Meter) - Length of Weir Crest is the measurement or extent of Weir Crest from end to end.
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.
Coefficient of Discharge - The Coefficient of Discharge is ratio of actual discharge to theoretical discharge.
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.
Velocity over Submerged Weir - (Measured in Meter per Second) - Velocity over Submerged Weir is the rate of change of the position of an object with respect to time.

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
Coefficient of Discharge: 0.66 --> 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
Velocity over Submerged Weir: 4.1 Meter per Second --> 4.1 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_w = (3*Q₁)/(2*C_d*sqrt(2*g)*(((H_Upstream-h₂)+(v_su^2/(2*g)))^(3/2)-(v_su^2/(2*g))^(3/2))) --> (3*50.1)/(2*0.66*sqrt(2*9.8)*(((10.1-5.1)+(4.1^2/(2*9.8)))^(3/2)-(4.1^2/(2*9.8))^(3/2)))

Evaluating ... ...

L_w = 1.92181270567269

STEP 3: Convert Result to Output's Unit

1.92181270567269 Meter --> No Conversion Required

FINAL ANSWER

1.92181270567269 ≈ 1.921813 Meter <-- Length of Weir Crest

(Calculation completed in 00.004 seconds)

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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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< 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)

Length of Crest for Discharge through Free Weir Formula

LaTeX Go

What is meant by Coefficient of discharge?

Coefficient of discharge is stated as the ratio between the actual flow discharge and theoretical flow discharge.

How to Calculate Length of Crest for Discharge through Free Weir?

Length of Crest for Discharge through Free Weir calculator uses 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))) to calculate the Length of Weir Crest, The Length of crest for discharge through free weir if velocity is approached as it applies to the area of reclamation can be defined as the distance, measured along the axis. Length of Weir Crest is denoted by L_w symbol.

How to calculate Length of Crest for Discharge through Free Weir using this online calculator? To use this online calculator for Length of Crest for Discharge through Free Weir, enter Discharge through Free Portion (Q₁), Coefficient of Discharge (C_d), 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. Here is how the Length of Crest for Discharge through Free Weir calculation can be explained with given input values -> 1.921813 = (3*50.1)/(2*0.66*sqrt(2*9.8)*(((10.1-5.1)+(4.1^2/(2*9.8)))^(3/2)-(4.1^2/(2*9.8))^(3/2))).

FAQ

What is Length of Crest for Discharge through Free Weir?

The Length of crest for discharge through free weir if velocity is approached as it applies to the area of reclamation can be defined as the distance, measured along the axis and is represented as L_w = (3*Q₁)/(2*C_d*sqrt(2*g)*(((H_Upstream-h₂)+(v_su^2/(2*g)))^(3/2)-(v_su^2/(2*g))^(3/2))) or 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 Portion is a measure of the quantity of fluid flow over unit time, representing the quantity in between the upstream and downstream portion, The Coefficient of Discharge is ratio of actual discharge to theoretical discharge, 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 & Velocity over Submerged Weir is the rate of change of the position of an object with respect to time.

How to calculate Length of Crest for Discharge through Free Weir?

The Length of crest for discharge through free weir if velocity is approached as it applies to the area of reclamation can be defined as the distance, measured along the axis is calculated using 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))). To calculate Length of Crest for Discharge through Free Weir, you need Discharge through Free Portion (Q₁), Coefficient of Discharge (C_d), Acceleration due to Gravity (g), Head on Upstream of Weir (H_Upstream), Head on Downstream of Weir (h₂) & Velocity over Submerged Weir (v_su). With our tool, you need to enter the respective value for Discharge through Free Portion, Coefficient of Discharge, Acceleration due to Gravity, Head on Upstream of Weir, Head on Downstream of Weir & Velocity over Submerged 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 Length of Weir Crest?

In this formula, Length of Weir Crest uses Discharge through Free Portion, Coefficient of Discharge, Acceleration due to Gravity, Head on Upstream of Weir, Head on Downstream of Weir & Velocity over Submerged Weir. We can use 2 other way(s) to calculate the same, which is/are as follows -

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))
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)))

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