Coefficient of Discharge given Discharge over Weir without considering Velocity Calculator

✖Francis Discharge with Suppressed End is discharge of flow without the end contraction.ⓘ Francis Discharge with Suppressed End [Q_Fr']			+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%

✖The Coefficient of Discharge is ratio of actual discharge to theoretical discharge.ⓘ Coefficient of Discharge given Discharge over Weir without considering Velocity [C_d]

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Coefficient of Discharge given Discharge over Weir without considering Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
C_d = (Q_Fr'*3)/(2*(sqrt(2*g))*L_w*S_w^(3/2))
This formula uses 1 Functions, 5 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

Coefficient of Discharge - The Coefficient of Discharge is ratio of actual discharge to theoretical discharge.
Francis Discharge with Suppressed End - (Measured in Cubic Meter per Second) - Francis Discharge with Suppressed End is discharge of flow without the end contraction.
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.

STEP 1: Convert Input(s) to Base Unit

Francis Discharge with Suppressed End: 28 Cubic Meter per Second --> 28 Cubic Meter per Second 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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_d = (Q_Fr'*3)/(2*(sqrt(2*g))*L_w*S_w^(3/2)) --> (28*3)/(2*(sqrt(2*9.8))*3*2^(3/2))

Evaluating ... ...

C_d = 1.11803398874989

STEP 3: Convert Result to Output's Unit

1.11803398874989 --> No Conversion Required

FINAL ANSWER

1.11803398874989 ≈ 1.118034 <-- Coefficient of Discharge

(Calculation completed in 00.004 seconds)

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< 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))

Coefficient of Discharge given Discharge over Weir without considering Velocity Formula

LaTeX Go

What is Discharge?

The Discharge Over the Weir is a measure of the quantity of any fluid flow over unit time. The quantity may be either volume or mass. A commonly applied methodology for measuring, and estimating, the discharge of a river is based on a simplified form of the continuity equation. The equation implies that for any incompressible fluid, such as liquid water, the discharge (Q) is equal to the product of the stream's cross-sectional area (A) and its mean velocity.

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. Weirs are fixed barriers across a river or stream that force water to flow over their tops, where the height of the water above the weir can be used to calculate flow.
A weir, as defined in the USBR measurement manual, is simply an overflow structure built perpendicular to an open channel axis to measure the rate of flow of water. In other words, a weir is essentially a partial dam. It works by raising the water level upstream of the weir, and then forcing the water to spill over.

How to Calculate Coefficient of Discharge given Discharge over Weir without considering Velocity?

Coefficient of Discharge given Discharge over Weir without considering Velocity calculator uses 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)) to calculate the Coefficient of Discharge, Coefficient of Discharge given Discharge over Weir without considering Velocity is ratio of actual discharge through nozzle or orifice to theoretical discharge. Coefficient of Discharge is denoted by C_d symbol.

How to calculate Coefficient of Discharge given Discharge over Weir without considering Velocity using this online calculator? To use this online calculator for Coefficient of Discharge given Discharge over Weir without considering Velocity, enter Francis Discharge with Suppressed End (Q_Fr'), Acceleration due to Gravity (g), Length of Weir Crest (L_w) & Height of Water above Crest of Weir (S_w) and hit the calculate button. Here is how the Coefficient of Discharge given Discharge over Weir without considering Velocity calculation can be explained with given input values -> 1.118034 = (28*3)/(2*(sqrt(2*9.8))*3*2^(3/2)).

FAQ

What is Coefficient of Discharge given Discharge over Weir without considering Velocity?

Coefficient of Discharge given Discharge over Weir without considering Velocity is ratio of actual discharge through nozzle or orifice to theoretical discharge and is represented as C_d = (Q_Fr'*3)/(2*(sqrt(2*g))*L_w*S_w^(3/2)) or 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 Discharge with Suppressed End is discharge of flow without the end contraction, 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.

How to calculate Coefficient of Discharge given Discharge over Weir without considering Velocity?

Coefficient of Discharge given Discharge over Weir without considering Velocity is ratio of actual discharge through nozzle or orifice to theoretical discharge is calculated using 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)). To calculate Coefficient of Discharge given Discharge over Weir without considering Velocity, you need Francis Discharge with Suppressed End (Q_Fr'), Acceleration due to Gravity (g), Length of Weir Crest (L_w) & Height of Water above Crest of Weir (S_w). With our tool, you need to enter the respective value for Francis Discharge with Suppressed End, Acceleration due to Gravity, Length of Weir Crest & 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 Coefficient of Discharge?

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

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 = (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 = (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)))

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