Length of Weir or Notch without 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%
✖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 Initial height of liquid is a variable from the tank emptying through an orifice at its bottom.ⓘ Initial Height of Liquid [H_i]			+10% -10%

✖The Length of Weir is the of the base of weir through which discharge is taking place.ⓘ Length of Weir or Notch without Velocity of Approach [L_weir]

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Formula

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Length of Weir or Notch without Velocity of Approach

Formula

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

Example

`"0.006671m"="40m³/s"/(2/3*"0.8"*sqrt(2*"[g]")*("186.1m")^(3/2))`

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Download Notches and Weirs Formulas PDF

Length of Weir or Notch without Velocity of Approach Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Weir = Discharge Weir/(2/3*Coefficient of Discharge*sqrt(2*[g])*Initial Height of Liquid^(3/2))
L_weir = Q/(2/3*C_d*sqrt(2*[g])*H_i^(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 Weir - (Measured in Meter) - The Length of Weir is 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.
Coefficient of Discharge - The Coefficient of Discharge or efflux coefficient is the ratio of the actual discharge to the theoretical discharge.
Initial Height of Liquid - (Measured in Meter) - The Initial height of liquid is a variable from the tank emptying through an orifice at its bottom.

STEP 1: Convert Input(s) to Base Unit

Discharge Weir: 40 Cubic Meter per Second --> 40 Cubic Meter per Second No Conversion Required
Coefficient of Discharge: 0.8 --> No Conversion Required
Initial Height of Liquid: 186.1 Meter --> 186.1 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_weir = Q/(2/3*C_d*sqrt(2*[g])*H_i^(3/2)) --> 40/(2/3*0.8*sqrt(2*[g])*186.1^(3/2))

Evaluating ... ...

L_weir = 0.00667062256248919

STEP 3: Convert Result to Output's Unit

0.00667062256248919 Meter --> No Conversion Required

FINAL ANSWER

0.00667062256248919 ≈ 0.006671 Meter <-- Length of Weir

(Calculation completed in 00.004 seconds)

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Home » Physics » Fluid Mechanics » Notches and Weirs » Geometric DImension » Length of Weir or Notch without Velocity of Approach

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Created by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

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Indian Institute of Technology (IIT), Bombay

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< 10+ Geometric DImension Calculators

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 or Notch without Velocity of Approach Formula

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

What is discharge over a rectangular notch?

The discharge through a weir or notch is directly related to the water depth or head (H). This head is affected by the condition of the crest, the contraction, the velocity of the approaching stream, and the elevation of the water surface downstream from the weir.

What is suppressed weir?

A measuring weir having its sides flush with the sides of the channel so that there are no end contractions.

How to Calculate Length of Weir or Notch without Velocity of Approach?

Length of Weir or Notch without Velocity of Approach calculator uses Length of Weir = Discharge Weir/(2/3*Coefficient of Discharge*sqrt(2*[g])*Initial Height of Liquid^(3/2)) to calculate the Length of Weir, Length of Weir or Notch without Velocity of Approach refers to the horizontal distance along the crest of the weir. It is an important parameter in calculating the discharge over a weir. Length of Weir is denoted by L_weir symbol.

How to calculate Length of Weir or Notch without Velocity of Approach using this online calculator? To use this online calculator for Length of Weir or Notch without Velocity of Approach, enter Discharge Weir (Q), Coefficient of Discharge (C_d) & Initial Height of Liquid (H_i) and hit the calculate button. Here is how the Length of Weir or Notch without Velocity of Approach calculation can be explained with given input values -> 0.000334 = 40/(2/3*0.8*sqrt(2*[g])*186.1^(3/2)).

FAQ

What is Length of Weir or Notch without Velocity of Approach?

Length of Weir or Notch without Velocity of Approach refers to the horizontal distance along the crest of the weir. It is an important parameter in calculating the discharge over a weir and is represented as L_weir = Q/(2/3*C_d*sqrt(2*[g])*H_i^(3/2)) or Length of Weir = Discharge Weir/(2/3*Coefficient of Discharge*sqrt(2*[g])*Initial Height of Liquid^(3/2)). Discharge Weir is the rate of flow of a liquid, The Coefficient of Discharge or efflux coefficient is the ratio of the actual discharge to the theoretical discharge & The Initial height of liquid is a variable from the tank emptying through an orifice at its bottom.

How to calculate Length of Weir or Notch without Velocity of Approach?

Length of Weir or Notch without Velocity of Approach refers to the horizontal distance along the crest of the weir. It is an important parameter in calculating the discharge over a weir is calculated using Length of Weir = Discharge Weir/(2/3*Coefficient of Discharge*sqrt(2*[g])*Initial Height of Liquid^(3/2)). To calculate Length of Weir or Notch without Velocity of Approach, you need Discharge Weir (Q), Coefficient of Discharge (C_d) & Initial Height of Liquid (H_i). With our tool, you need to enter the respective value for Discharge Weir, Coefficient of Discharge & Initial Height 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 Length of Weir?

In this formula, Length of Weir uses Discharge Weir, Coefficient of Discharge & Initial Height of Liquid. We can use 7 other way(s) to calculate the same, which is/are as follows -

Length of Weir = Theoretical Discharge/(2/3*Coefficient of Discharge*sqrt(2*[g])*Arc Length of Circle^(3/2))
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 = 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 = 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 = Discharge Weir/(1.705*Coefficient of Discharge*Arc Length of Circle^(3/2))
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 = 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)))

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