Head on Downstream Weir for 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%
✖The Coefficient of Discharge is ratio of actual discharge to theoretical discharge.ⓘ Coefficient of Discharge [C_d]			+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 Weir for Discharge through Free Weir Portion [h₂]

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Head on Downstream Weir for Discharge through Free Weir Portion Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
h₂ = -((3*Q₁)/(2*C_d*L_w*sqrt(2*g)))^(2/3)+H_Upstream
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

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.
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.
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.

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
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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

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

Evaluating ... ...

h₂ = 5.9111915015469

STEP 3: Convert Result to Output's Unit

5.9111915015469 Meter --> No Conversion Required

FINAL ANSWER

5.9111915015469 ≈ 5.911192 Meter <-- Head on Downstream of Weir

(Calculation completed in 00.020 seconds)

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Created by M Naveen

National Institute of Technology (NIT), Warangal

M Naveen has created this Calculator and 500+ more calculators!

Verified by Rithik Agrawal

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)

Head on Downstream Weir for Discharge through Free Weir Portion 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 Head on Downstream Weir for Discharge through Free Weir Portion?

Head on Downstream Weir for Discharge through Free Weir Portion calculator uses 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 to calculate the Head on Downstream of Weir, The Head on downstream weir for discharge through free weir portion is a measurement of head drop in the weir in a free weir portion. Head on Downstream of Weir is denoted by h₂ symbol.

How to calculate Head on Downstream Weir for Discharge through Free Weir Portion using this online calculator? To use this online calculator for Head on Downstream Weir for Discharge through Free Weir Portion, enter Discharge through Free Portion (Q₁), Coefficient of Discharge (C_d), Length of Weir Crest (L_w), Acceleration due to Gravity (g) & Head on Upstream of Weir (H_Upstream) and hit the calculate button. Here is how the Head on Downstream Weir for Discharge through Free Weir Portion calculation can be explained with given input values -> 5.911192 = -((3*50.1)/(2*0.66*3*sqrt(2*9.8)))^(2/3)+10.1.

FAQ

What is Head on Downstream Weir for Discharge through Free Weir Portion?

The Head on downstream weir for discharge through free weir portion is a measurement of head drop in the weir in a free weir portion and is represented as h₂ = -((3*Q₁)/(2*C_d*L_w*sqrt(2*g)))^(2/3)+H_Upstream or 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. 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, 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.

How to calculate Head on Downstream Weir for Discharge through Free Weir Portion?

The Head on downstream weir for discharge through free weir portion is a measurement of head drop in the weir in a free weir portion is calculated using 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. To calculate Head on Downstream Weir for Discharge through Free Weir Portion, you need Discharge through Free Portion (Q₁), Coefficient of Discharge (C_d), Length of Weir Crest (L_w), Acceleration due to Gravity (g) & Head on Upstream of Weir (H_Upstream). With our tool, you need to enter the respective value for Discharge through Free Portion, Coefficient of Discharge, Length of Weir Crest, Acceleration due to Gravity & Head on Upstream of Weir 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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