Discharge over Rectangle Weir Considering Bazin's formula Calculator

↳

⤿

Notches and Weirs

Draft Tube

Orifices and Mouthpieces

Properties of Surfaces and Solids

Viscous Flow

⤿

Discharge

Geometric DImension

✖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 Length of Weir is the of the base of weir through which discharge is taking place.ⓘ Length of Weir [L_weir]			+10% -10%

✖Discharge Weir is the rate of flow of a liquid.ⓘ Discharge over Rectangle Weir Considering Bazin's formula [Q]

⎘ Copy

👎

Formula

✖

Discharge over Rectangle Weir Considering Bazin's formula

Formula

`"Q" = (0.405+0.003/"H")*"L"_{"weir"}*sqrt(2*"[g]")*"H"^(3/2)`

Example

`"68.68111m³/s"=(0.405+0.003/"10m")*"1.21m"*sqrt(2*"[g]")*("10m")^(3/2)`

Calculator

LaTeX

Reset

👍

Download Notches and Weirs Formulas PDF

Discharge over Rectangle Weir Considering Bazin's formula Solution

STEP 0: Pre-Calculation Summary

Formula Used

Discharge Weir = (0.405+0.003/Head of Liquid)*Length of Weir*sqrt(2*[g])*Head of Liquid^(3/2)
Q = (0.405+0.003/H)*L_weir*sqrt(2*[g])*H^(3/2)
This formula uses 1 Constants, 1 Functions, 3 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.
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.
Length of Weir - (Measured in Meter) - The Length of Weir is the of the base of weir through which discharge is taking place.

STEP 1: Convert Input(s) to Base Unit

Head of Liquid: 10 Meter --> 10 Meter No Conversion Required
Length of Weir: 1.21 Meter --> 1.21 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q = (0.405+0.003/H)*L_weir*sqrt(2*[g])*H^(3/2) --> (0.405+0.003/10)*1.21*sqrt(2*[g])*10^(3/2)

Evaluating ... ...

Q = 68.6811106670747

STEP 3: Convert Result to Output's Unit

68.6811106670747 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

68.6811106670747 ≈ 68.68111 Cubic Meter per Second <-- Discharge Weir

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Fluid Mechanics » Notches and Weirs » Discharge » Discharge over Rectangle Weir Considering Bazin's formula

Credits

Created by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

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

Verified by Shikha Maurya

Indian Institute of Technology (IIT), Bombay

Shikha Maurya has verified this Calculator and 200+ more calculators!

< 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 Weir Considering Bazin's formula Formula

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

What is a weir?

A weir or low head dam is a barrier across the width of a river that alters the flow characteristics of water and usually results in a change in the height of the river level. They are also used to control the flow of water for outlets of lakes, ponds, and reservoirs.

What is a rectangular notch?

The rectangular weir (notch) is a common device used to regulate and measure discharge in irrigation projects. The values of the discharge coefficient increase with increases in the values of the upstream water depth.

How to Calculate Discharge over Rectangle Weir Considering Bazin's formula?

Discharge over Rectangle Weir Considering Bazin's formula calculator uses Discharge Weir = (0.405+0.003/Head of Liquid)*Length of Weir*sqrt(2*[g])*Head of Liquid^(3/2) to calculate the Discharge Weir, Discharge over Rectangle Weir Considering Bazin's formula can be determined using various empirical equations or hydraulic formulas specific to the geometry and characteristics of the notch or weir. It takes into account the head of water above the weir crest, the width of the weir, and other parameters. Discharge Weir is denoted by Q symbol.

How to calculate Discharge over Rectangle Weir Considering Bazin's formula using this online calculator? To use this online calculator for Discharge over Rectangle Weir Considering Bazin's formula, enter Head of Liquid (H) & Length of Weir (L_weir) and hit the calculate button. Here is how the Discharge over Rectangle Weir Considering Bazin's formula calculation can be explained with given input values -> 68.68111 = (0.405+0.003/10)*1.21*sqrt(2*[g])*10^(3/2).

FAQ

What is Discharge over Rectangle Weir Considering Bazin's formula?

Discharge over Rectangle Weir Considering Bazin's formula can be determined using various empirical equations or hydraulic formulas specific to the geometry and characteristics of the notch or weir. It takes into account the head of water above the weir crest, the width of the weir, and other parameters and is represented as Q = (0.405+0.003/H)*L_weir*sqrt(2*[g])*H^(3/2) or Discharge Weir = (0.405+0.003/Head of Liquid)*Length of Weir*sqrt(2*[g])*Head of Liquid^(3/2). 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 & The Length of Weir is the of the base of weir through which discharge is taking place.

How to calculate Discharge over Rectangle Weir Considering Bazin's formula?

Discharge over Rectangle Weir Considering Bazin's formula can be determined using various empirical equations or hydraulic formulas specific to the geometry and characteristics of the notch or weir. It takes into account the head of water above the weir crest, the width of the weir, and other parameters is calculated using Discharge Weir = (0.405+0.003/Head of Liquid)*Length of Weir*sqrt(2*[g])*Head of Liquid^(3/2). To calculate Discharge over Rectangle Weir Considering Bazin's formula, you need Head of Liquid (H) & Length of Weir (L_weir). With our tool, you need to enter the respective value for Head of Liquid & Length of 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 Discharge Weir?

In this formula, Discharge Weir uses Head of Liquid & Length of Weir. We can use 5 other way(s) to calculate the same, which is/are as follows -

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 = 2/3*Coefficient of Discharge*(Length of Weir-0.2*Head of Liquid)*sqrt(2*[g])*Head of Liquid^(3/2)
Discharge Weir = 1.705*Coefficient of Discharge*Length of Weir*Head of Liquid^(3/2)
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 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))

Home

FREE PDFs

🔍 Search