Discharge over Rectangle Notch or Weir 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%

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

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

Evaluating ... ...

Q_th = 1867.29989259596

STEP 3: Convert Result to Output's Unit

1867.29989259596 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

1867.29989259596 ≈ 1867.3 Cubic Meter per Second <-- Theoretical Discharge

(Calculation completed in 00.020 seconds)

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Credits

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

Vinay Mishra has verified this Calculator and 100+ more calculators!

< 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 Notch or Weir Formula

LaTeX Go

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_w*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_w) & 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 -> 1867.3 = 2/3*0.8*25*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_w*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_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 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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