Discharge over Rectangle Weir with Two End Contractions Calculator

✖The Coefficient of Discharge or efflux coefficient is the ratio of the actual discharge to the theoretical discharge.ⓘ Coefficient of Discharge [C_d]			+10% -10%
✖The Length of Weir is the of the base of weir through which discharge is taking place.ⓘ Length of Weir [L_w]			+10% -10%
✖The Head of Liquid is the height of a liquid column that corresponds to a particular pressure exerted by the liquid column from the base of its container.ⓘ Head of Liquid [H]			+10% -10%

✖Discharge Weir is the rate of flow of a liquid.ⓘ Discharge over Rectangle Weir with Two End Contractions [Q]

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Discharge over Rectangle Weir with Two End Contractions Solution

STEP 0: Pre-Calculation Summary

Formula Used

Discharge Weir = 2/3*Coefficient of Discharge*(Length of Weir-0.2*Head of Liquid)*sqrt(2*[g])*Head of Liquid^(3/2)
Q = 2/3*C_d*(L_w-0.2*H)*sqrt(2*[g])*H^(3/2)
This formula uses 1 Constants, 1 Functions, 4 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

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

Discharge Weir - (Measured in Cubic Meter per Second) - Discharge Weir is the rate of flow of a liquid.
Coefficient of Discharge - The Coefficient of Discharge or efflux coefficient is the ratio of the actual discharge to the theoretical discharge.
Length of Weir - (Measured in Meter) - The Length of Weir is the of the base of weir through which discharge is taking place.
Head of Liquid - (Measured in Meter) - The Head of Liquid is the height of a liquid column that corresponds to a particular pressure exerted by the liquid column from the base of its container.

STEP 1: Convert Input(s) to Base Unit

Coefficient of Discharge: 0.8 --> No Conversion Required
Length of Weir: 25 Meter --> 25 Meter No Conversion Required
Head of Liquid: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q = 2/3*C_d*(L_w-0.2*H)*sqrt(2*[g])*H^(3/2) --> 2/3*0.8*(25-0.2*10)*sqrt(2*[g])*10^(3/2)

Evaluating ... ...

Q = 1717.91590118828

STEP 3: Convert Result to Output's Unit

1717.91590118828 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

1717.91590118828 ≈ 1717.916 Cubic Meter per Second <-- Discharge Weir

(Calculation completed in 00.004 seconds)

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Home » Physics » Fluid Mechanics » Notches and Weirs » Mechanical » Discharge » Discharge over Rectangle Weir with Two End Contractions

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Created by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

Maiarutselvan V has created this Calculator and 300+ more calculators!

Verified by Vinay Mishra

Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune

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< Discharge Calculators

Time Required to Empty Reservoir

LaTeX Go Total Time Taken = ((3*Area of Weir)/(Coefficient of Discharge*Length of Weir*sqrt(2*[g])))*(1/sqrt(Final Height of Liquid)-1/sqrt(Initial Height of Liquid))

Time Required to Empty Tank with Triangular Weir or Notch

LaTeX Go Total Time Taken = ((5*Area of Weir)/(4*Coefficient of Discharge*tan(Angle A/2)*sqrt(2*[g])))*(1/(Final Height of Liquid^(3/2))-1/(Initial Height of Liquid^(3/2)))

Head of Liquid above V-notch

LaTeX Go Head of Liquid = (Theoretical Discharge/(8/15*Coefficient of Discharge*tan(Angle A/2)*sqrt(2*[g])))^0.4

Head of Liquid at Crest

LaTeX Go Head of Liquid = (Theoretical Discharge/(2/3*Coefficient of Discharge*Length of Weir*sqrt(2*[g])))^(2/3)

Discharge over Rectangle Weir with Two End Contractions Formula

LaTeX Go

Discharge Weir = 2/3*Coefficient of Discharge*(Length of Weir-0.2*Head of Liquid)*sqrt(2*[g])*Head of Liquid^(3/2)
Q = 2/3*C_d*(L_w-0.2*H)*sqrt(2*[g])*H^(3/2)

What is Cipolletti weir or notch?

A standard Cipolletti weir is trapezoidal in shape. The crest and sides of the weir plate are placed far enough from the bottom and sides of the approach channel to produce a full contraction.

What is rectangular notch?

The rectangular weir (notch) is a common device used to regulate and measure discharge in irrigation projects. The current research was based mainly on laboratory experiments studying the hydraulic characteristics of rectangular notches.

How to Calculate Discharge over Rectangle Weir with Two End Contractions?

Discharge over Rectangle Weir with Two End Contractions calculator uses Discharge Weir = 2/3*Coefficient of Discharge*(Length of Weir-0.2*Head of Liquid)*sqrt(2*[g])*Head of Liquid^(3/2) to calculate the Discharge Weir, Discharge over Rectangle Weir with Two End Contractions the discharge can be calculated using the Francis equation, which accounts for the head of water above the weir crest and the dimensions of the weir, including the end contractions. Discharge Weir is denoted by Q symbol.

How to calculate Discharge over Rectangle Weir with Two End Contractions using this online calculator? To use this online calculator for Discharge over Rectangle Weir with Two End Contractions, enter Coefficient of Discharge (C_d), Length of Weir (L_w) & Head of Liquid (H) and hit the calculate button. Here is how the Discharge over Rectangle Weir with Two End Contractions calculation can be explained with given input values -> 1717.916 = 2/3*0.8*(25-0.2*10)*sqrt(2*[g])*10^(3/2).

FAQ

What is Discharge over Rectangle Weir with Two End Contractions?

Discharge over Rectangle Weir with Two End Contractions the discharge can be calculated using the Francis equation, which accounts for the head of water above the weir crest and the dimensions of the weir, including the end contractions and is represented as Q = 2/3*C_d*(L_w-0.2*H)*sqrt(2*[g])*H^(3/2) or Discharge Weir = 2/3*Coefficient of Discharge*(Length of Weir-0.2*Head of Liquid)*sqrt(2*[g])*Head of Liquid^(3/2). The Coefficient of Discharge or efflux coefficient is the ratio of the actual discharge to the theoretical discharge, The Length of Weir is the of the base of weir through which discharge is taking place & The Head of Liquid is the height of a liquid column that corresponds to a particular pressure exerted by the liquid column from the base of its container.

How to calculate Discharge over Rectangle Weir with Two End Contractions?

Discharge over Rectangle Weir with Two End Contractions the discharge can be calculated using the Francis equation, which accounts for the head of water above the weir crest and the dimensions of the weir, including the end contractions is calculated using Discharge Weir = 2/3*Coefficient of Discharge*(Length of Weir-0.2*Head of Liquid)*sqrt(2*[g])*Head of Liquid^(3/2). To calculate Discharge over Rectangle Weir with Two End Contractions, you need Coefficient of Discharge (C_d), Length of Weir (L_w) & Head of Liquid (H). With our tool, you need to enter the respective value for Coefficient of Discharge, Length of Weir & Head of Liquid 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 Weir?

In this formula, Discharge Weir uses Coefficient of Discharge, Length of Weir & Head of Liquid. We can use 3 other way(s) to calculate the same, which is/are as follows -

Discharge Weir = (0.405+0.003/Head of Liquid)*Length of Weir*sqrt(2*[g])*Head of Liquid^(3/2)
Discharge Weir = (0.405+0.003/(Head of Liquid+Head Due to Velocity of Approach))*Length of Weir*sqrt(2*[g])*(Head of Liquid+Head Due to Velocity of Approach)^(3/2)
Discharge Weir = 1.705*Coefficient of Discharge*Length of Weir*Head of Liquid^(3/2)

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