Discharge considering Approach Velocity Calculator

✖The Coefficient of Discharge is ratio of actual discharge to theoretical discharge.ⓘ Coefficient of Discharge [C_d]			+10% -10%
✖The Acceleration due to Gravity is acceleration gained by an object because of gravitational force.ⓘ Acceleration due to Gravity [g]			+10% -10%
✖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.ⓘ Discharge considering Approach Velocity [Q_Fr]

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Discharge considering Approach Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Francis Discharge = (2/3)*Coefficient of Discharge*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))
Q_Fr = (2/3)*C_d*sqrt(2*g)*(L_w-0.1*n*H_Stillwater)*(H_Stillwater^(3/2)-H_V^(3/2))
This formula uses 1 Functions, 7 Variables

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

Francis Discharge - (Measured in Cubic Meter per Second) - Francis Discharge is calculated from the empirical formula given by Francis.
Coefficient of Discharge - The Coefficient of Discharge is ratio of actual discharge to theoretical discharge.
Acceleration due to Gravity - (Measured in Meter per Square Second) - The Acceleration due to Gravity is acceleration gained by an object because of gravitational force.
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

Coefficient of Discharge: 0.66 --> No Conversion Required
Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
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 = (2/3)*C_d*sqrt(2*g)*(L_w-0.1*n*H_Stillwater)*(H_Stillwater^(3/2)-H_V^(3/2)) --> (2/3)*0.66*sqrt(2*9.8)*(3-0.1*4*6.6)*(6.6^(3/2)-4.6^(3/2))

Evaluating ... ...

Q_Fr = 4.97184490717351

STEP 3: Convert Result to Output's Unit

4.97184490717351 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

4.97184490717351 ≈ 4.971845 Cubic Meter per Second <-- Francis Discharge

(Calculation completed in 00.004 seconds)

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Created by M Naveen

National Institute of Technology (NIT), Warangal

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NSS College of Engineering (NSSCE), Palakkad

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< Discharge Calculators

Discharge considering Approach Velocity

LaTeX Go Francis Discharge = (2/3)*Coefficient of Discharge*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))

Discharge Passing over Weir considering Velocity

LaTeX Go Francis Discharge with Suppressed End = (2/3)*Coefficient of Discharge*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))

Discharge over Weir without considering Velocity

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

Discharge given Velocity Approach

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

Discharge considering Approach Velocity Formula

LaTeX Go

What is Coefficient of Discharge?

Discharge Coefficient is the ratio of actual discharge through a nozzle or orifice to the theoretical discharge.

How to Calculate Discharge considering Approach Velocity?

Discharge considering Approach Velocity calculator uses Francis Discharge = (2/3)*Coefficient of Discharge*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)) to calculate the Francis Discharge, Discharge considering approach velocity 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 Discharge considering Approach Velocity using this online calculator? To use this online calculator for Discharge considering Approach Velocity, enter Coefficient of Discharge (C_d), Acceleration due to Gravity (g), 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 Discharge considering Approach Velocity calculation can be explained with given input values -> 4.971845 = (2/3)*0.66*sqrt(2*9.8)*(3-0.1*4*6.6)*(6.6^(3/2)-4.6^(3/2)).

FAQ

What is Discharge considering Approach Velocity?

Discharge considering approach velocity 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 = (2/3)*C_d*sqrt(2*g)*(L_w-0.1*n*H_Stillwater)*(H_Stillwater^(3/2)-H_V^(3/2)) or Francis Discharge = (2/3)*Coefficient of Discharge*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)). The Coefficient of Discharge is ratio of actual discharge to theoretical discharge, The Acceleration due to Gravity is acceleration gained by an object because of gravitational force, 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 Discharge considering Approach Velocity?

Discharge considering approach velocity 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 = (2/3)*Coefficient of Discharge*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)). To calculate Discharge considering Approach Velocity, you need Coefficient of Discharge (C_d), Acceleration due to Gravity (g), 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 Coefficient of Discharge, Acceleration due to Gravity, 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.

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