Discharge over Rectangle Notch or Weir Calculator

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Notches and Weirs

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Discharge

Geometric DImension

✖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_weir]			+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%

✖The Theoretical Discharge is given by the theoretical area and velocity.ⓘ Discharge over Rectangle Notch or Weir [Q_th]

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Formula

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Discharge over Rectangle Notch or Weir

Formula

`"Q"_{"th"} = 2/3*"C"_{"d"}*"L"_{"weir"}*sqrt(2*"[g]")*"H"^(3/2)`

Example

`"90.37731m³/s"=2/3*"0.8"*"1.21m"*sqrt(2*"[g]")*("10m")^(3/2)`

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Discharge over Rectangle Notch or Weir Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Theoretical Discharge - (Measured in Cubic Meter per Second) - The Theoretical Discharge is given by the theoretical area and velocity.
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: 1.21 Meter --> 1.21 Meter No Conversion Required
Head of Liquid: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q_th = 2/3*C_d*L_weir*sqrt(2*[g])*H^(3/2) --> 2/3*0.8*1.21*sqrt(2*[g])*10^(3/2)

Evaluating ... ...

Q_th = 90.3773148016445

STEP 3: Convert Result to Output's Unit

90.3773148016445 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

90.3773148016445 ≈ 90.37731 Cubic Meter per Second <-- Theoretical Discharge

(Calculation completed in 00.004 seconds)

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Created by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

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

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< 17 Discharge Calculators

Discharge over Trapezoidal Notch or Weir

Go Theoretical Discharge = 2/3*Coefficient of Discharge Rectangular*Length of Weir*sqrt(2*[g])*Head of Liquid^(3/2)+8/15*Coefficient of Discharge Triangular*tan(Angle A/2)*sqrt(2*[g])*Head of Liquid^(5/2)

Time Required to Empty Reservoir

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))

Coefficient of Discharge for Time Required to Empty Reservoir

Go Coefficient of Discharge = (3*Area of Weir)/(Total Time Taken*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

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)))

Discharge over Rectangle Weir for Bazin's formula with Velocity of Approach

Go 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 with Velocity of Approach

Go Discharge = 2/3*Coefficient of Discharge*Length of Weir*sqrt(2*[g])*((Initial Height of Liquid+Final Height of Liquid)^(3/2)-Final Height of Liquid^(3/2))

Discharge over Broad-Crested Weir for Head of Liquid at Middle

Go Discharge Weir = Coefficient of Discharge*Length of Weir*sqrt(2*[g]*(Head of Liquid Middle^2*Head of Liquid-Head of Liquid Middle^3))

Discharge over Broad-Crested Weir with Velocity of Approach

Go Discharge Weir = 1.705*Coefficient of Discharge*Length of Weir*((Head of Liquid+Head Due to Velocity of Approach)^(3/2)-Head Due to Velocity of Approach^(3/2))

Discharge over Rectangle Weir with Two End Contractions

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

Head of Liquid above V-notch

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

Discharge over Triangular Notch or Weir

Go Theoretical Discharge = 8/15*Coefficient of Discharge*tan(Angle A/2)*sqrt(2*[g])*Head of Liquid^(5/2)

Head of Liquid at Crest

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

Discharge over Rectangle Notch or Weir

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

Discharge without Velocity of Approach

Go Discharge = 2/3*Coefficient of Discharge*Length of Weir*sqrt(2*[g])*Initial Height of Liquid^(3/2)

Discharge over Rectangle Weir Considering Bazin's formula

Go Discharge Weir = (0.405+0.003/Head of Liquid)*Length of Weir*sqrt(2*[g])*Head of Liquid^(3/2)

Discharge over Rectangle Weir Considering Francis's formula

Go Discharge = 1.84*Length of Weir*((Initial Height of Liquid+Final Height of Liquid)^(3/2)-Final Height of Liquid^(3/2))

Discharge over Broad-Crested Weir

Go Discharge Weir = 1.705*Coefficient of Discharge*Length of Weir*Head of Liquid^(3/2)

Discharge over Rectangle Notch or Weir Formula

Theoretical Discharge = 2/3*Coefficient of Discharge*Length of Weir*sqrt(2*[g])*Head of Liquid^(3/2)
Q_th = 2/3*C_d*L_weir*sqrt(2*[g])*H^(3/2)

What is a notch?

A Notch is a device used for measuring the rate of flow of a liquid through a small channel or a tank. It may be defined as an opening in the side of a tank or vessel such as liquid surface in the tank is below the level of opening.

What is a weir?

A weir is a concrete or masonry structure that is constructed across the open channel (such as a river) to change its water flow characteristics.

How to Calculate Discharge over Rectangle Notch or Weir?

Discharge over Rectangle Notch or Weir calculator uses Theoretical Discharge = 2/3*Coefficient of Discharge*Length of Weir*sqrt(2*[g])*Head of Liquid^(3/2) to calculate the Theoretical Discharge, Discharge over Rectangle Notch or Weir can be determined using various empirical equations or hydraulic formulas specific to the geometry and characteristics of the notch or weir. Theoretical Discharge is denoted by Q_th symbol.

How to calculate Discharge over Rectangle Notch or Weir using this online calculator? To use this online calculator for Discharge over Rectangle Notch or Weir, enter Coefficient of Discharge (C_d), Length of Weir (L_weir) & Head of Liquid (H) and hit the calculate button. Here is how the Discharge over Rectangle Notch or Weir calculation can be explained with given input values -> 90.37731 = 2/3*0.8*1.21*sqrt(2*[g])*10^(3/2).

FAQ

What is Discharge over Rectangle Notch or Weir?

Discharge over Rectangle Notch or Weir can be determined using various empirical equations or hydraulic formulas specific to the geometry and characteristics of the notch or weir and is represented as Q_th = 2/3*C_d*L_weir*sqrt(2*[g])*H^(3/2) or Theoretical Discharge = 2/3*Coefficient of Discharge*Length of Weir*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 Notch or Weir?

Discharge over Rectangle Notch or Weir can be determined using various empirical equations or hydraulic formulas specific to the geometry and characteristics of the notch or weir is calculated using Theoretical Discharge = 2/3*Coefficient of Discharge*Length of Weir*sqrt(2*[g])*Head of Liquid^(3/2). To calculate Discharge over Rectangle Notch or Weir, you need Coefficient of Discharge (C_d), Length of Weir (L_weir) & 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 Theoretical Discharge?

In this formula, Theoretical Discharge uses Coefficient of Discharge, Length of Weir & Head of Liquid. We can use 2 other way(s) to calculate the same, which is/are as follows -

Theoretical Discharge = 8/15*Coefficient of Discharge*tan(Angle A/2)*sqrt(2*[g])*Head of Liquid^(5/2)
Theoretical Discharge = 2/3*Coefficient of Discharge Rectangular*Length of Weir*sqrt(2*[g])*Head of Liquid^(3/2)+8/15*Coefficient of Discharge Triangular*tan(Angle A/2)*sqrt(2*[g])*Head of Liquid^(5/2)

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