Francis Formula for Discharge for Rectangular Notch if Velocity is 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%
✖Still Water Head is the head of water which is still over weir.ⓘ Still Water Head [H_Stillwater]			+10% -10%
✖Velocity Head is represented in the term of length unit, also referred to as kinetic head represents the kinetic energy of the fluid.ⓘ Velocity Head [H_V]			+10% -10%

✖Francis Discharge is calculated from the empirical formula given by Francis.ⓘ Francis Formula for Discharge for Rectangular Notch if Velocity is considered [Q_Fr]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

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

Francis Formula for Discharge for Rectangular Notch if Velocity is considered Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
Q_Fr = 1.84*(L_w-0.1*n*H_Stillwater)*(H_Stillwater^(3/2)-H_V^(3/2))
This formula uses 5 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.
Still Water Head - (Measured in Meter) - Still Water Head is the head of water which is still over weir.
Velocity Head - (Measured in Meter) - Velocity Head is represented in the term of length unit, also referred to as kinetic head represents the kinetic energy of the fluid.

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
Still Water Head: 6.6 Meter --> 6.6 Meter No Conversion Required
Velocity Head: 4.6 Meter --> 4.6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q_Fr = 1.84*(L_w-0.1*n*H_Stillwater)*(H_Stillwater^(3/2)-H_V^(3/2)) --> 1.84*(3-0.1*4*6.6)*(6.6^(3/2)-4.6^(3/2))

Evaluating ... ...

Q_Fr = 4.69628758227097

STEP 3: Convert Result to Output's Unit

4.69628758227097 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

4.69628758227097 ≈ 4.696288 Cubic Meter per Second <-- Francis Discharge

(Calculation completed in 00.021 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 is 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!

< Flow Over Rectangular Sharp Crested Weir or Notch Calculators

Coefficient of Discharge given Discharge if Velocity considered

LaTeX 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

LaTeX 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

LaTeX 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

LaTeX 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))

Francis Formula for Discharge for Rectangular Notch if Velocity is considered Formula

LaTeX Go

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 is considered?

Francis Formula for Discharge for Rectangular Notch if Velocity is considered calculator uses 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)) to calculate the Francis Discharge, The Francis formula for discharge for rectangular notch if velocity is 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 is considered using this online calculator? To use this online calculator for Francis Formula for Discharge for Rectangular Notch if Velocity is considered, enter Length of Weir Crest (L_w), Number of End Contraction (n), Still Water Head (H_Stillwater) & Velocity Head (H_V) and hit the calculate button. Here is how the Francis Formula for Discharge for Rectangular Notch if Velocity is considered calculation can be explained with given input values -> 4.696288 = 1.84*(3-0.1*4*6.6)*(6.6^(3/2)-4.6^(3/2)).

FAQ

What is Francis Formula for Discharge for Rectangular Notch if Velocity is considered?

The Francis formula for discharge for rectangular notch if velocity is 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*H_Stillwater)*(H_Stillwater^(3/2)-H_V^(3/2)) or 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)). 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, Still Water Head is the head of water which is still over weir & Velocity Head is represented in the term of length unit, also referred to as kinetic head represents the kinetic energy of the fluid.

How to calculate Francis Formula for Discharge for Rectangular Notch if Velocity is considered?

The Francis formula for discharge for rectangular notch if velocity is 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*Still Water Head)*(Still Water Head^(3/2)-Velocity Head^(3/2)). To calculate Francis Formula for Discharge for Rectangular Notch if Velocity is considered, you need Length of Weir Crest (L_w), Number of End Contraction (n), Still Water Head (H_Stillwater) & Velocity Head (H_V). With our tool, you need to enter the respective value for Length of Weir Crest, Number of End Contraction, Still Water Head & Velocity Head 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, Still Water Head & Velocity Head. 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*Height of Water above Crest of Weir)*Height of Water above Crest of Weir^(3/2)

Home

FREE PDFs

🔍 Search