Francis Formula for Discharge for Rectangular Notch if Velocity not considered Calculator

✖Length of Weir Crest is the measurement or extent of Weir Crest from end to end.ⓘ Length of Weir Crest [L_w]			+10% -10%
✖Number of End Contraction 1 can be described as the end contractions acting on a channel.ⓘ Number of End Contraction [n]			+10% -10%
✖Height of Water above Crest of Weir is defined as the water surface height above crest.ⓘ Height of Water above Crest of Weir [S_w]			+10% -10%

✖Francis Discharge is calculated from the empirical formula given by Francis.ⓘ Francis Formula for Discharge for Rectangular Notch if Velocity not considered [Q_Fr]

⎘ Copy

👎

Formula

✖

Francis Formula for Discharge for Rectangular Notch if Velocity not considered

Formula

`"Q"_{"Fr"} = 1.84*("L"_{"w"}-0.1*"n"*"S"_{"w"})*"S"_{"w"}^(3/2)`

Example

`"11.44947m³/s"= 1.84*("3m"-0.1*"4"*"2m")*("2m")^(3/2)`

Calculator

LaTeX

Reset

👍

Download Flow Over Rectangular Sharp-Crested Weir or Notch Formulas PDF

Francis Formula for Discharge for Rectangular Notch if Velocity not considered Solution

STEP 0: Pre-Calculation Summary

Formula Used

Francis Discharge = 1.84*(Length of Weir Crest-0.1*Number of End Contraction*Height of Water above Crest of Weir)*Height of Water above Crest of Weir^(3/2)
Q_Fr = 1.84*(L_w-0.1*n*S_w)*S_w^(3/2)
This formula uses 4 Variables

Variables Used

Francis Discharge - (Measured in Cubic Meter per Second) - Francis Discharge is calculated from the empirical formula given by Francis.
Length of Weir Crest - (Measured in Meter) - Length of Weir Crest is the measurement or extent of Weir Crest from end to end.
Number of End Contraction - Number of End Contraction 1 can be described as the end contractions acting on a channel.
Height of Water above Crest of Weir - (Measured in Meter) - Height of Water above Crest of Weir is defined as the water surface height above crest.

STEP 1: Convert Input(s) to Base Unit

Length of Weir Crest: 3 Meter --> 3 Meter No Conversion Required
Number of End Contraction: 4 --> No Conversion Required
Height of Water above Crest of Weir: 2 Meter --> 2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q_Fr = 1.84*(L_w-0.1*n*S_w)*S_w^(3/2) --> 1.84*(3-0.1*4*2)*2^(3/2)

Evaluating ... ...

Q_Fr = 11.4494730009726

STEP 3: Convert Result to Output's Unit

11.4494730009726 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

11.4494730009726 ≈ 11.44947 Cubic Meter per Second <-- Francis Discharge

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Hydraulics and Waterworks » Flow Over Notches and Weirs » Flow Over Rectangular Sharp-Crested Weir or Notch » Francis Formula for Discharge for Rectangular Notch if Velocity not considered

Credits

Created by M Naveen

National Institute of Technology (NIT), Warangal

M Naveen has created this Calculator and 500+ more calculators!

Verified by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has verified this Calculator and 700+ more calculators!

< 17 Flow Over Rectangular Sharp-Crested Weir or Notch Calculators

Rehbocks Formula for Discharge over Rectangular Weir

Go Francis Discharge with Suppressed End = 2/3*(0.605+0.08*(Height of Water above Crest of Weir/Height of Crest)+(0.001/Height of Water above Crest of Weir))*sqrt(2*Acceleration due to Gravity)*Length of Weir Crest*Height of Water above Crest of Weir^(3/2)

Coefficient of Discharge given Discharge if Velocity considered

Go Coefficient of Discharge = (Francis Discharge*3)/(2*(sqrt(2*Acceleration due to Gravity))*(Length of Weir Crest-0.1*Number of End Contraction*Still Water Head)*(Still Water Head^(3/2)-Velocity Head^(3/2)))

Coefficient of Discharge given Discharge if Velocity not considered

Go Coefficient of Discharge = (Francis Discharge*3)/(2*(sqrt(2*Acceleration due to Gravity))*(Length of Weir Crest-0.1*Number of End Contraction*Height of Water above Crest of Weir)*Height of Water above Crest of Weir^(3/2))

Coefficient of Discharge given Discharge Passing over Weir considering Velocity

Go Coefficient of Discharge = (Francis Discharge with Suppressed End*3)/(2*(sqrt(2*Acceleration due to Gravity))*Length of Weir Crest*((Height of Water above Crest of Weir+Velocity Head)^(3/2)-Velocity Head^(3/2)))

Coefficient of Discharge given Discharge over Weir without considering Velocity

Go Coefficient of Discharge = (Francis Discharge with Suppressed End*3)/(2*(sqrt(2*Acceleration due to Gravity))*Length of Weir Crest*Height of Water above Crest of Weir^(3/2))

Coefficient when Bazin Formula for Discharge Velocity is not considered

Go Bazins Coefficient = Bazins Discharge without Velocity/(sqrt(2*Acceleration due to Gravity)*Length of Weir Crest*Height of Water above Crest of Weir^(3/2))

Bazins Formula for Discharge if Velocity is not considered

Go Bazins Discharge without Velocity = Bazins Coefficient*sqrt(2*Acceleration due to Gravity)*Length of Weir Crest*Height of Water above Crest of Weir^(3/2)

Francis Formula for Discharge for Rectangular Notch if Velocity is considered

Go Francis Discharge = 1.84*(Length of Weir Crest-0.1*Number of End Contraction*Still Water Head)*(Still Water Head^(3/2)-Velocity Head^(3/2))

Coefficient when Bazin Formula for Discharge if Velocity is considered

Go Bazins Coefficient = Bazins Discharge with Velocity/(sqrt(2*Acceleration due to Gravity)*Length of Weir Crest*Still Water Head^(3/2))

Bazins Formula for Discharge if Velocity is considered

Go Bazins Discharge with Velocity = Bazins Coefficient*sqrt(2*Acceleration due to Gravity)*Length of Weir Crest*Still Water Head^(3/2)

Francis Formula for Discharge for Rectangular Notch if Velocity not considered

Go Francis Discharge = 1.84*(Length of Weir Crest-0.1*Number of End Contraction*Height of Water above Crest of Weir)*Height of Water above Crest of Weir^(3/2)

Rehbocks Formula for Coefficient of Discharge

Go Coefficient of Discharge = 0.605+0.08*(Height of Water above Crest of Weir/Height of Crest)+(0.001/Height of Water above Crest of Weir)

Approach Velocity

Go Velocity of Flow 1 = Discharge by Approach Velocity/(Width of Channel1*Depth of Flow)

Depth of Water Flow in Channel given Velocity Approach

Go Depth of Flow = Discharge by Approach Velocity/(Width of Channel1*Velocity of Flow 1)

Width of Channel given Velocity Approach

Go Width of Channel1 = Discharge by Approach Velocity/(Velocity of Flow 1*Depth of Flow)

Coefficient for Bazin Formula

Go Bazins Coefficient = 0.405+(0.003/Height of Water above Crest of Weir)

Coefficient for Bazin Formula if Velocity is considered

Go Bazins Coefficient = 0.405+(0.003/Still Water Head)

Francis Formula for Discharge for Rectangular Notch if Velocity not considered Formula

Francis Discharge = 1.84*(Length of Weir Crest-0.1*Number of End Contraction*Height of Water above Crest of Weir)*Height of Water above Crest of Weir^(3/2)
Q_Fr = 1.84*(L_w-0.1*n*S_w)*S_w^(3/2)

What is meant by Head?

In hydraulics, Head is a measure of the potential of fluid at the measurement point. or total energy per unit weight above a datum.

What is the use of triangular notch?

The triangular-notch, thin-plate weir is a convenient, inexpensive, and relatively precise flow-measuring instrument. It is frequently used to measure the flow of water in laboratories and in small, natural streams.

How to Calculate Francis Formula for Discharge for Rectangular Notch if Velocity not considered?

Francis Formula for Discharge for Rectangular Notch if Velocity not considered calculator uses Francis Discharge = 1.84*(Length of Weir Crest-0.1*Number of End Contraction*Height of Water above Crest of Weir)*Height of Water above Crest of Weir^(3/2) to calculate the Francis Discharge, The Francis formula for discharge for rectangular notch if velocity not considered is a measure of the quantity of any fluid flow over unit time. The quantity may be either volume or mass. Francis Discharge is denoted by Q_Fr symbol.

How to calculate Francis Formula for Discharge for Rectangular Notch if Velocity not considered using this online calculator? To use this online calculator for Francis Formula for Discharge for Rectangular Notch if Velocity not considered, enter Length of Weir Crest (L_w), Number of End Contraction (n) & Height of Water above Crest of Weir (S_w) and hit the calculate button. Here is how the Francis Formula for Discharge for Rectangular Notch if Velocity not considered calculation can be explained with given input values -> 11.44947 = 1.84*(3-0.1*4*2)*2^(3/2).

FAQ

What is Francis Formula for Discharge for Rectangular Notch if Velocity not considered?

The Francis formula for discharge for rectangular notch if velocity not considered is a measure of the quantity of any fluid flow over unit time. The quantity may be either volume or mass and is represented as Q_Fr = 1.84*(L_w-0.1*n*S_w)*S_w^(3/2) or Francis Discharge = 1.84*(Length of Weir Crest-0.1*Number of End Contraction*Height of Water above Crest of Weir)*Height of Water above Crest of Weir^(3/2). Length of Weir Crest is the measurement or extent of Weir Crest from end to end, Number of End Contraction 1 can be described as the end contractions acting on a channel & Height of Water above Crest of Weir is defined as the water surface height above crest.

How to calculate Francis Formula for Discharge for Rectangular Notch if Velocity not considered?

The Francis formula for discharge for rectangular notch if velocity not considered is a measure of the quantity of any fluid flow over unit time. The quantity may be either volume or mass is calculated using Francis Discharge = 1.84*(Length of Weir Crest-0.1*Number of End Contraction*Height of Water above Crest of Weir)*Height of Water above Crest of Weir^(3/2). To calculate Francis Formula for Discharge for Rectangular Notch if Velocity not considered, you need Length of Weir Crest (L_w), Number of End Contraction (n) & Height of Water above Crest of Weir (S_w). With our tool, you need to enter the respective value for Length of Weir Crest, Number of End Contraction & Height of Water above Crest 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 Francis Discharge?

In this formula, Francis Discharge uses Length of Weir Crest, Number of End Contraction & Height of Water above Crest of Weir. We can use 1 other way(s) to calculate the same, which is/are as follows -

Francis Discharge = 1.84*(Length of Weir Crest-0.1*Number of End Contraction*Still Water Head)*(Still Water Head^(3/2)-Velocity Head^(3/2))

Home

FREE PDFs

🔍 Search