Length of Weir Considering Bazin's formula with Velocity of Approach Calculator

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Geometric DImension

Discharge

✖Discharge Weir is the rate of flow of a liquid.ⓘ Discharge Weir [Q]			+10% -10%
✖Arc Length of Circle is the length of a piece of curve cut from the circumference of the Circle at particular central angle.ⓘ Arc Length of Circle [l_Arc]			+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 Notches the of the base of weir through which discharge is taking place.ⓘ Length of Weir Considering Bazin's formula with Velocity of Approach [L_notch]

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Formula

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Length of Weir Considering Bazin's formula with Velocity of Approach

Formula

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

Example

`"28507.18m"="40m³/s"/(0.405+0.003/("15m"+"1.2m"))*sqrt(2*"[g]")*("15m"+"1.2m")^(3/2)`

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Length of Weir Considering Bazin's formula with Velocity of Approach Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Notches = Discharge Weir/(0.405+0.003/(Arc Length of Circle+Head Due to Velocity of Approach))*sqrt(2*[g])*(Arc Length of Circle+Head Due to Velocity of Approach)^(3/2)
L_notch = Q/(0.405+0.003/(l_Arc+h_a))*sqrt(2*[g])*(l_Arc+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

Length of Notches - (Measured in Meter) - The Length of Notches the of the base of weir through which discharge is taking place.
Discharge Weir - (Measured in Cubic Meter per Second) - Discharge Weir is the rate of flow of a liquid.
Arc Length of Circle - (Measured in Meter) - Arc Length of Circle is the length of a piece of curve cut from the circumference of the Circle at particular central angle.
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.

STEP 1: Convert Input(s) to Base Unit

Discharge Weir: 40 Cubic Meter per Second --> 40 Cubic Meter per Second No Conversion Required
Arc Length of Circle: 15 Meter --> 15 Meter No Conversion Required
Head Due to Velocity of Approach: 1.2 Meter --> 1.2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_notch = Q/(0.405+0.003/(l_Arc+h_a))*sqrt(2*[g])*(l_Arc+h_a)^(3/2) --> 40/(0.405+0.003/(15+1.2))*sqrt(2*[g])*(15+1.2)^(3/2)

Evaluating ... ...

L_notch = 28507.1821636779

STEP 3: Convert Result to Output's Unit

28507.1821636779 Meter --> No Conversion Required

FINAL ANSWER

28507.1821636779 ≈ 28507.18 Meter <-- Length of Notches

(Calculation completed in 00.004 seconds)

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Home » Physics » Fluid Mechanics » Notches and Weirs » Geometric DImension » Length of Weir Considering 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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Length of Crest of Weir or Notch

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

Length of Weir Considering Bazin's formula with Velocity of Approach

Go Length of Notches = Discharge Weir/(0.405+0.003/(Arc Length of Circle+Head Due to Velocity of Approach))*sqrt(2*[g])*(Arc Length of Circle+Head Due to Velocity of Approach)^(3/2)

Length of Weir or Notch for Velocity of Approach

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

Length of Weir for Broad-Crested Weir and Head of Liquid at Middle

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

Length of Weir for Broad-Crested Weir with Velocity of Approach

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

Length of Weir Considering Francis's formula

Go Length of Weir = Discharge Weir/(1.84*((Initial Height of Liquid+Head Due to Velocity of Approach)^(3/2)-Head Due to Velocity of Approach^(3/2)))

Length of Weir Considering Bazin's formula without Velocity of Approach

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

Length of Section for Discharge over Rectangle Notch or Weir

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

Length of Weir or Notch without Velocity of Approach

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

Length of Weir for Discharge over Broad-Crested Weir

Go Length of Weir = Discharge Weir/(1.705*Coefficient of Discharge*Arc Length of Circle^(3/2))

Length of Weir Considering 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 the head due to velocity approach?

The elevation difference between the two circled points on the surface of the approach flow is called the velocity head and represents the potential required to produce the increase in velocity between the points. The head due to Va is denoted as ha.

How to Calculate Length of Weir Considering Bazin's formula with Velocity of Approach?

Length of Weir Considering Bazin's formula with Velocity of Approach calculator uses Length of Notches = Discharge Weir/(0.405+0.003/(Arc Length of Circle+Head Due to Velocity of Approach))*sqrt(2*[g])*(Arc Length of Circle+Head Due to Velocity of Approach)^(3/2) to calculate the Length of Notches, The Length of weir considering Bazin's formula with velocity of approach formula is known while considering the head of the liquid, head due to the velocity approach, and discharge in a rectangular notch or weir with the velocity of approach condition. Length of Notches is denoted by L_notch symbol.

How to calculate Length of Weir Considering Bazin's formula with Velocity of Approach using this online calculator? To use this online calculator for Length of Weir Considering Bazin's formula with Velocity of Approach, enter Discharge Weir (Q), Arc Length of Circle (l_Arc) & Head Due to Velocity of Approach (h_a) and hit the calculate button. Here is how the Length of Weir Considering Bazin's formula with Velocity of Approach calculation can be explained with given input values -> 28507.18 = 40/(0.405+0.003/(15+1.2))*sqrt(2*[g])*(15+1.2)^(3/2).

FAQ

What is Length of Weir Considering Bazin's formula with Velocity of Approach?

The Length of weir considering Bazin's formula with velocity of approach formula is known while considering the head of the liquid, head due to the velocity approach, and discharge in a rectangular notch or weir with the velocity of approach condition and is represented as L_notch = Q/(0.405+0.003/(l_Arc+h_a))*sqrt(2*[g])*(l_Arc+h_a)^(3/2) or Length of Notches = Discharge Weir/(0.405+0.003/(Arc Length of Circle+Head Due to Velocity of Approach))*sqrt(2*[g])*(Arc Length of Circle+Head Due to Velocity of Approach)^(3/2). Discharge Weir is the rate of flow of a liquid, Arc Length of Circle is the length of a piece of curve cut from the circumference of the Circle at particular central angle & 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.

How to calculate Length of Weir Considering Bazin's formula with Velocity of Approach?

The Length of weir considering Bazin's formula with velocity of approach formula is known while considering the head of the liquid, head due to the velocity approach, and discharge in a rectangular notch or weir with the velocity of approach condition is calculated using Length of Notches = Discharge Weir/(0.405+0.003/(Arc Length of Circle+Head Due to Velocity of Approach))*sqrt(2*[g])*(Arc Length of Circle+Head Due to Velocity of Approach)^(3/2). To calculate Length of Weir Considering Bazin's formula with Velocity of Approach, you need Discharge Weir (Q), Arc Length of Circle (l_Arc) & Head Due to Velocity of Approach (h_a). With our tool, you need to enter the respective value for Discharge Weir, Arc Length of Circle & Head Due to Velocity of Approach 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 Length of Notches?

In this formula, Length of Notches uses Discharge Weir, Arc Length of Circle & Head Due to Velocity of Approach. We can use 1 other way(s) to calculate the same, which is/are as follows -

Length of Notches = Discharge Weir/(0.405+0.003/Arc Length of Circle)*sqrt(2*[g])*Arc Length of Circle^(3/2)

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