Discharge Passing over Weir considering 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%
✖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%
✖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 with Suppressed End is discharge of flow without the end contraction.ⓘ Discharge Passing over Weir considering Velocity [Q_Fr']

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Discharge Passing over Weir considering Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
Q_Fr' = (2/3)*C_d*sqrt(2*g)*L_w*((S_w+H_V)^(3/2)-H_V^(3/2))
This formula uses 1 Functions, 6 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 with Suppressed End - (Measured in Cubic Meter per Second) - Francis Discharge with Suppressed End is discharge of flow without the end contraction.
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.
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.
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
Height of Water above Crest of Weir: 2 Meter --> 2 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*((S_w+H_V)^(3/2)-H_V^(3/2)) --> (2/3)*0.66*sqrt(2*9.8)*3*((2+4.6)^(3/2)-4.6^(3/2))

Evaluating ... ...

Q_Fr' = 41.4320408931126

STEP 3: Convert Result to Output's Unit

41.4320408931126 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

41.4320408931126 ≈ 41.43204 Cubic Meter per Second <-- Francis Discharge with Suppressed End

(Calculation completed in 00.004 seconds)

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National Institute of Technology (NIT), Warangal

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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 Passing over Weir considering 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.

What is a weir?

A weir or low head dam is a barrier across the width of a river that alters the flow characteristics of water and usually results in a change in the height of the river level. They are also used to control the flow of water for outlets of lakes, ponds, and reservoirs.

How to Calculate Discharge Passing over Weir considering Velocity?

Discharge Passing over Weir considering Velocity calculator uses 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)) to calculate the Francis Discharge with Suppressed End, Discharge Passing over Weir considering Velocity is a measure of the quantity of any fluid flow passing over unit time. The quantity may be either volume or mass. Francis Discharge with Suppressed End is denoted by Q_Fr' symbol.

How to calculate Discharge Passing over Weir considering Velocity using this online calculator? To use this online calculator for Discharge Passing over Weir considering Velocity, enter Coefficient of Discharge (C_d), Acceleration due to Gravity (g), Length of Weir Crest (L_w), Height of Water above Crest of Weir (S_w) & Velocity Head (H_V) and hit the calculate button. Here is how the Discharge Passing over Weir considering Velocity calculation can be explained with given input values -> 41.43204 = (2/3)*0.66*sqrt(2*9.8)*3*((2+4.6)^(3/2)-4.6^(3/2)).

FAQ

What is Discharge Passing over Weir considering Velocity?

Discharge Passing over Weir considering Velocity is a measure of the quantity of any fluid flow passing 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*((S_w+H_V)^(3/2)-H_V^(3/2)) or 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)). 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, Height of Water above Crest of Weir is defined as the water surface height above crest & 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 Passing over Weir considering Velocity?

Discharge Passing over Weir considering Velocity is a measure of the quantity of any fluid flow passing over unit time. The quantity may be either volume or mass is calculated using 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)). To calculate Discharge Passing over Weir considering Velocity, you need Coefficient of Discharge (C_d), Acceleration due to Gravity (g), Length of Weir Crest (L_w), Height of Water above Crest of Weir (S_w) & 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, Height of Water above Crest of Weir & 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 with Suppressed End?

In this formula, Francis Discharge with Suppressed End uses Coefficient of Discharge, Acceleration due to Gravity, Length of Weir Crest, Height of Water above Crest of Weir & Velocity Head. We can use 3 other way(s) to calculate the same, which is/are as follows -

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)
Francis Discharge with Suppressed End = Constant of Flow*Height of Water above Crest of Weir^Number of End Contraction
Francis Discharge with Suppressed End = 1.84*Length of Weir Crest*Height of Water above Crest of Weir^(3/2)

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