Head over Crest given Discharge Passing over Weir with 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 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%
✖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%

✖Height of Water above Crest of Weir is defined as the water surface height above crest.ⓘ Head over Crest given Discharge Passing over Weir with Velocity [S_w]

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Head over Crest given Discharge Passing over Weir with Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Water above Crest of Weir = (((Francis Discharge with Suppressed End*3)/(2*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*Length of Weir Crest))+Velocity Head^(3/2))^(2/3)-Velocity Head
S_w = (((Q_Fr'*3)/(2*C_d*sqrt(2*g)*L_w))+H_V^(3/2))^(2/3)-H_V
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

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.
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.
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

Francis Discharge with Suppressed End: 28 Cubic Meter per Second --> 28 Cubic Meter per Second No Conversion Required
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
Velocity Head: 4.6 Meter --> 4.6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S_w = (((Q_Fr'*3)/(2*C_d*sqrt(2*g)*L_w))+H_V^(3/2))^(2/3)-H_V --> (((28*3)/(2*0.66*sqrt(2*9.8)*3))+4.6^(3/2))^(2/3)-4.6

Evaluating ... ...

S_w = 1.38918803416124

STEP 3: Convert Result to Output's Unit

1.38918803416124 Meter --> No Conversion Required

FINAL ANSWER

1.38918803416124 ≈ 1.389188 Meter <-- Height of Water above Crest of Weir

(Calculation completed in 00.004 seconds)

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< Hydraulic Head Calculators

Head over Crest given Discharge Passing over Weir with Velocity

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

Head over Crest for given Discharge without Velocity

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

Head given Discharge through Notch which is to be Calibrated

LaTeX Go Height of Water above Crest of Weir = (Francis Discharge with Suppressed End/Constant of Flow)^(1/Number of End Contraction)

Head when End Contractions is suppressed

LaTeX Go Still Water Head = (Francis Discharge with Suppressed End/(1.84*Length of Weir Crest))^(2/3)

Head over Crest given Discharge Passing over Weir with 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 Head over Crest given Discharge Passing over Weir with Velocity?

Head over Crest given Discharge Passing over Weir with Velocity calculator uses Height of Water above Crest of Weir = (((Francis Discharge with Suppressed End*3)/(2*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*Length of Weir Crest))+Velocity Head^(3/2))^(2/3)-Velocity Head to calculate the Height of Water above Crest of Weir, Head over Crest given Discharge Passing over Weir with Velocity is measure of potential of fluid at measurement point. Height of Water above Crest of Weir is denoted by S_w symbol.

How to calculate Head over Crest given Discharge Passing over Weir with Velocity using this online calculator? To use this online calculator for Head over Crest given Discharge Passing over Weir with Velocity, enter Francis Discharge with Suppressed End (Q_Fr'), Coefficient of Discharge (C_d), Acceleration due to Gravity (g), Length of Weir Crest (L_w) & Velocity Head (H_V) and hit the calculate button. Here is how the Head over Crest given Discharge Passing over Weir with Velocity calculation can be explained with given input values -> 1.389188 = (((28*3)/(2*0.66*sqrt(2*9.8)*3))+4.6^(3/2))^(2/3)-4.6.

FAQ

What is Head over Crest given Discharge Passing over Weir with Velocity?

Head over Crest given Discharge Passing over Weir with Velocity is measure of potential of fluid at measurement point and is represented as S_w = (((Q_Fr'*3)/(2*C_d*sqrt(2*g)*L_w))+H_V^(3/2))^(2/3)-H_V or Height of Water above Crest of Weir = (((Francis Discharge with Suppressed End*3)/(2*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*Length of Weir Crest))+Velocity Head^(3/2))^(2/3)-Velocity Head. Francis Discharge with Suppressed End is discharge of flow without the end contraction, 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 & 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 Head over Crest given Discharge Passing over Weir with Velocity?

Head over Crest given Discharge Passing over Weir with Velocity is measure of potential of fluid at measurement point is calculated using Height of Water above Crest of Weir = (((Francis Discharge with Suppressed End*3)/(2*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*Length of Weir Crest))+Velocity Head^(3/2))^(2/3)-Velocity Head. To calculate Head over Crest given Discharge Passing over Weir with Velocity, you need Francis Discharge with Suppressed End (Q_Fr'), Coefficient of Discharge (C_d), Acceleration due to Gravity (g), Length of Weir Crest (L_w) & Velocity Head (H_V). With our tool, you need to enter the respective value for Francis Discharge with Suppressed End, Coefficient of Discharge, Acceleration due to Gravity, Length of Weir Crest & 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 Height of Water above Crest of Weir?

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

Height of Water above Crest of Weir = ((Francis Discharge with Suppressed End*3)/(2*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*Length of Weir Crest))^(2/3)
Height of Water above Crest of Weir = (Francis Discharge with Suppressed End/Constant of Flow)^(1/Number of End Contraction)
Height of Water above Crest of Weir = (Bazins Discharge without Velocity/(Bazins Coefficient*sqrt(2*Acceleration due to Gravity)*Length of Weir Crest))^(2/3)

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