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

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✖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 Head due to Velocity of Approach is considered as the elevation difference between the two circled points on the surface of the approach flow.ⓘ Head Due to Velocity of Approach [h_a]			+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 for Bazin's formula with Velocity of Approach [Q]

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Formula

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

Formula

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

Example

`"81.40103m³/s"=(0.405+0.003/("10m"+"1.2m"))*"1.21m"*sqrt(2*"[g]")*("10m"+"1.2m")^(3/2)`

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

STEP 0: Pre-Calculation Summary

Formula Used

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)
Q = (0.405+0.003/(H+h_a))*L_weir*sqrt(2*[g])*(H+h_a)^(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.
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.
Head Due to Velocity of Approach - (Measured in Meter) - The Head due to Velocity of Approach is considered as the elevation difference between the two circled points on the surface of the approach flow.
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
Head Due to Velocity of Approach: 1.2 Meter --> 1.2 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+h_a))*L_weir*sqrt(2*[g])*(H+h_a)^(3/2) --> (0.405+0.003/(10+1.2))*1.21*sqrt(2*[g])*(10+1.2)^(3/2)

Evaluating ... ...

Q = 81.4010299602914

STEP 3: Convert Result to Output's Unit

81.4010299602914 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

81.4010299602914 ≈ 81.40103 Cubic Meter per Second <-- Discharge Weir

(Calculation completed in 00.004 seconds)

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Home » Physics » Fluid Mechanics » Notches and Weirs » Discharge » Discharge over Rectangle Weir for Bazin's formula with Velocity of Approach

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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 Weir for Bazin's formula with Velocity of Approach Formula

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.

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.

How to Calculate Discharge over Rectangle Weir for Bazin's formula with Velocity of Approach?

Discharge over Rectangle Weir for Bazin's formula with Velocity of Approach calculator uses 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) to calculate the Discharge Weir, The Discharge over rectangle weir for Bazin's formula with velocity of approach is known while considering the length, initial and final height of the liquid, and with the velocity of approach condition in a rectangular notch or weir. Discharge Weir is denoted by Q symbol.

How to calculate Discharge over Rectangle Weir for Bazin's formula with Velocity of Approach using this online calculator? To use this online calculator for Discharge over Rectangle Weir for Bazin's formula with Velocity of Approach, enter Head of Liquid (H), Head Due to Velocity of Approach (h_a) & Length of Weir (L_weir) and hit the calculate button. Here is how the Discharge over Rectangle Weir for Bazin's formula with Velocity of Approach calculation can be explained with given input values -> 81.40103 = (0.405+0.003/(10+1.2))*1.21*sqrt(2*[g])*(10+1.2)^(3/2).

FAQ

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

The Discharge over rectangle weir for Bazin's formula with velocity of approach is known while considering the length, initial and final height of the liquid, and with the velocity of approach condition in a rectangular notch or weir and is represented as Q = (0.405+0.003/(H+h_a))*L_weir*sqrt(2*[g])*(H+h_a)^(3/2) or 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). 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 Head due to Velocity of Approach is considered as the elevation difference between the two circled points on the surface of the approach flow & The Length of Weir is the of the base of weir through which discharge is taking place.

How to calculate Discharge over Rectangle Weir for Bazin's formula with Velocity of Approach?

The Discharge over rectangle weir for Bazin's formula with velocity of approach is known while considering the length, initial and final height of the liquid, and with the velocity of approach condition in a rectangular notch or weir is calculated using 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). To calculate Discharge over Rectangle Weir for Bazin's formula with Velocity of Approach, you need Head of Liquid (H), Head Due to Velocity of Approach (h_a) & Length of Weir (L_weir). With our tool, you need to enter the respective value for Head of Liquid, Head Due to Velocity of Approach & 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, Head Due to Velocity of Approach & 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)*Length of Weir*sqrt(2*[g])*Head of Liquid^(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))

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