Length of Crest of Weir or Notch Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
Lweir = (3*A)/(Cd*ttotal*sqrt(2*[g]))*(1/sqrt(Hf)-1/sqrt(Hi))
This formula uses 1 Constants, 1 Functions, 6 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.
Area of Weir - (Measured in Square Meter) - Area of Weir is the amount of two-dimensional space taken up by an object.
Coefficient of Discharge - The Coefficient of Discharge or efflux coefficient is the ratio of the actual discharge to the theoretical discharge.
Total Time Taken - (Measured in Second) - Total Time Taken is the total time taken by the body to cover that space.
Final Height of Liquid - (Measured in Meter) - The Final Height of Liquid is a variable from the tank emptying through an orifice at its bottom.
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
Area of Weir: 50 Square Meter --> 50 Square Meter No Conversion Required
Coefficient of Discharge: 0.8 --> No Conversion Required
Total Time Taken: 80 Second --> 80 Second No Conversion Required
Final Height of Liquid: 0.17 Meter --> 0.17 Meter 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
Lweir = (3*A)/(Cd*ttotal*sqrt(2*[g]))*(1/sqrt(Hf)-1/sqrt(Hi)) --> (3*50)/(0.8*80*sqrt(2*[g]))*(1/sqrt(0.17)-1/sqrt(186.1))
Evaluating ... ...
Lweir = 1.24475231179057
STEP 3: Convert Result to Output's Unit
1.24475231179057 Meter --> No Conversion Required
FINAL ANSWER
1.24475231179057 1.244752 Meter <-- Length of Weir
(Calculation completed in 00.004 seconds)

Credits

Created by Maiarutselvan V
PSG College of Technology (PSGCT), Coimbatore
Maiarutselvan V has created this Calculator and 300+ more calculators!
Verified by Sanjay Krishna
Amrita School of Engineering (ASE), Vallikavu
Sanjay Krishna has verified this Calculator and 200+ more calculators!

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 Crest of Weir or Notch Formula

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))
Lweir = (3*A)/(Cd*ttotal*sqrt(2*[g]))*(1/sqrt(Hf)-1/sqrt(Hi))

What is a notch or weir?

A notch is generally meant to measure the flow of water from a tank. A weir is also a notch but it is made on a large scale. The weir is a notch cut in a dam to discharge the surplus quantity of water.

What is rectangular notch or weir?

The rectangular weir (notch) is a common device used to regulate and measure discharge in irrigation projects. The current research was based mainly on laboratory experiments studying the hydraulic characteristics of rectangular notches.

How to Calculate Length of Crest of Weir or Notch?

Length of Crest of Weir or Notch calculator uses 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)) to calculate the Length of Weir, Length of Crest of Weir or Notch refers to the horizontal distance along the top edge of the weir or notch. It represents the span over which the liquid flows and is an important parameter for calculating the flow rate over the weir. Length of Weir is denoted by Lweir symbol.

How to calculate Length of Crest of Weir or Notch using this online calculator? To use this online calculator for Length of Crest of Weir or Notch, enter Area of Weir (A), Coefficient of Discharge (Cd), Total Time Taken (ttotal), Final Height of Liquid (Hf) & Initial Height of Liquid (Hi) and hit the calculate button. Here is how the Length of Crest of Weir or Notch calculation can be explained with given input values -> 1.049204 = (3*50)/(0.8*80*sqrt(2*[g]))*(1/sqrt(0.17)-1/sqrt(186.1)).

FAQ

What is Length of Crest of Weir or Notch?
Length of Crest of Weir or Notch refers to the horizontal distance along the top edge of the weir or notch. It represents the span over which the liquid flows and is an important parameter for calculating the flow rate over the weir and is represented as Lweir = (3*A)/(Cd*ttotal*sqrt(2*[g]))*(1/sqrt(Hf)-1/sqrt(Hi)) or 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)). Area of Weir is the amount of two-dimensional space taken up by an object, The Coefficient of Discharge or efflux coefficient is the ratio of the actual discharge to the theoretical discharge, Total Time Taken is the total time taken by the body to cover that space, The Final Height of Liquid is a variable from the tank emptying through an orifice at its bottom & The Initial height of liquid is a variable from the tank emptying through an orifice at its bottom.
How to calculate Length of Crest of Weir or Notch?
Length of Crest of Weir or Notch refers to the horizontal distance along the top edge of the weir or notch. It represents the span over which the liquid flows and is an important parameter for calculating the flow rate over the weir is calculated using 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)). To calculate Length of Crest of Weir or Notch, you need Area of Weir (A), Coefficient of Discharge (Cd), Total Time Taken (ttotal), Final Height of Liquid (Hf) & Initial Height of Liquid (Hi). With our tool, you need to enter the respective value for Area of Weir, Coefficient of Discharge, Total Time Taken, Final Height of Liquid & 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 Area of Weir, Coefficient of Discharge, Total Time Taken, Final Height of Liquid & 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 = 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/(2/3*Coefficient of Discharge*sqrt(2*[g])*Initial 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)))
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!