Length of Crest given Discharge Passing over Weir 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%
✖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%

✖Length of Weir Crest is the measurement or extent of Weir Crest from end to end.ⓘ Length of Crest given Discharge Passing over Weir [L_w]

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Length of Crest given Discharge Passing over Weir Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Length of Weir Crest - (Measured in Meter) - Length of Weir Crest is the measurement or extent of Weir Crest from end to end.
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.
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

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
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

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

Evaluating ... ...

L_w = 2.02741641949778

STEP 3: Convert Result to Output's Unit

2.02741641949778 Meter --> No Conversion Required

FINAL ANSWER

2.02741641949778 ≈ 2.027416 Meter <-- Length of Weir Crest

(Calculation completed in 00.020 seconds)

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National Institute of Technology (NIT), Warangal

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< Length of Crest Calculators

Length of Crest considering Velocity

LaTeX Go Length of Weir Crest = ((3*Francis Discharge with Suppressed End)/(2*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*(Still Water Head^(3/2)-Velocity Head^(3/2))))+(0.1*Number of End Contraction*Still Water Head)

Length of Crest given Discharge Passing over Weir

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

Length of Crest without considering Velocity

LaTeX Go Length of Weir Crest = ((Francis Discharge*2)/(3*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)))^(2/3)+(0.1*Number of End Contraction*Height of Water above Crest of Weir)

Length of Crest when Francis Formula Discharge and Velocity is not considered

LaTeX Go Length of Weir Crest = (Francis Discharge/(1.84*Height of Water above Crest of Weir^(3/2)))+(0.1*Number of End Contraction*Height of Water above Crest of Weir)

Length of Crest given Discharge Passing over Weir Formula

LaTeX Go

What is Coefficient of Discharge?

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

How to Calculate Length of Crest given Discharge Passing over Weir?

Length of Crest given Discharge Passing over Weir calculator uses Length of Weir Crest = (Francis Discharge with Suppressed End*3)/(2*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*((Height of Water above Crest of Weir+Velocity Head)^(3/2)-Velocity Head^(3/2))) to calculate the Length of Weir Crest, Length of Crest given Discharge Passing over Weir as it applies to area of reclamation can be defined as ' distance, measured along axis. Length of Weir Crest is denoted by L_w symbol.

How to calculate Length of Crest given Discharge Passing over Weir using this online calculator? To use this online calculator for Length of Crest given Discharge Passing over Weir, enter Francis Discharge with Suppressed End (Q_Fr'), Coefficient of Discharge (C_d), Acceleration due to Gravity (g), Height of Water above Crest of Weir (S_w) & Velocity Head (H_V) and hit the calculate button. Here is how the Length of Crest given Discharge Passing over Weir calculation can be explained with given input values -> 2.027416 = (28*3)/(2*0.66*sqrt(2*9.8)*((2+4.6)^(3/2)-4.6^(3/2))).

FAQ

What is Length of Crest given Discharge Passing over Weir?

Length of Crest given Discharge Passing over Weir as it applies to area of reclamation can be defined as ' distance, measured along axis and is represented as L_w = (Q_Fr'*3)/(2*C_d*sqrt(2*g)*((S_w+H_V)^(3/2)-H_V^(3/2))) or Length of Weir Crest = (Francis Discharge with Suppressed End*3)/(2*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*((Height of Water above Crest of Weir+Velocity Head)^(3/2)-Velocity Head^(3/2))). 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, 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 Length of Crest given Discharge Passing over Weir?

Length of Crest given Discharge Passing over Weir as it applies to area of reclamation can be defined as ' distance, measured along axis is calculated using Length of Weir Crest = (Francis Discharge with Suppressed End*3)/(2*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*((Height of Water above Crest of Weir+Velocity Head)^(3/2)-Velocity Head^(3/2))). To calculate Length of Crest given Discharge Passing over Weir, you need Francis Discharge with Suppressed End (Q_Fr'), Coefficient of Discharge (C_d), Acceleration due to Gravity (g), Height of Water above Crest of Weir (S_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, 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 Length of Weir Crest?

In this formula, Length of Weir Crest uses Francis Discharge with Suppressed End, Coefficient of Discharge, Acceleration due to Gravity, 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 -

Length of Weir Crest = ((Francis Discharge*2)/(3*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)))^(2/3)+(0.1*Number of End Contraction*Height of Water above Crest of Weir)
Length of Weir Crest = ((3*Francis Discharge with Suppressed End)/(2*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*(Still Water Head^(3/2)-Velocity Head^(3/2))))+(0.1*Number of End Contraction*Still Water Head)
Length of Weir Crest = (Francis Discharge/(1.84*Height of Water above Crest of Weir^(3/2)))+(0.1*Number of End Contraction*Height of Water above Crest of Weir)

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