Length of Crest 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 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%
✖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%
✖Number of End Contraction 1 can be described as the end contractions acting on a channel.ⓘ Number of End Contraction [n]			+10% -10%

✖Length of Weir Crest is the measurement or extent of Weir Crest from end to end.ⓘ Length of Crest considering Velocity [L_w]

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Length of Crest considering Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
L_w = ((3*Q_Fr')/(2*C_d*sqrt(2*g)*(H_Stillwater^(3/2)-H_V^(3/2))))+(0.1*n*H_Stillwater)
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

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.
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.
Number of End Contraction - Number of End Contraction 1 can be described as the end contractions acting on a channel.

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
Still Water Head: 6.6 Meter --> 6.6 Meter No Conversion Required
Velocity Head: 4.6 Meter --> 4.6 Meter No Conversion Required
Number of End Contraction: 4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_w = ((3*Q_Fr')/(2*C_d*sqrt(2*g)*(H_Stillwater^(3/2)-H_V^(3/2))))+(0.1*n*H_Stillwater) --> ((3*28)/(2*0.66*sqrt(2*9.8)*(6.6^(3/2)-4.6^(3/2))))+(0.1*4*6.6)

Evaluating ... ...

L_w = 4.66741641949778

STEP 3: Convert Result to Output's Unit

4.66741641949778 Meter --> No Conversion Required

FINAL ANSWER

4.66741641949778 ≈ 4.667416 Meter <-- Length of Weir Crest

(Calculation completed in 00.007 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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< 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 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.

How to Calculate Length of Crest considering Velocity?

Length of Crest considering Velocity calculator uses 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) to calculate the Length of Weir Crest, Length of Crest considering Velocity applies to the area of reclamation can be defined as the distance measured along the axis. Length of Weir Crest is denoted by L_w symbol.

How to calculate Length of Crest considering Velocity using this online calculator? To use this online calculator for Length of Crest considering Velocity, enter Francis Discharge with Suppressed End (Q_Fr'), Coefficient of Discharge (C_d), Acceleration due to Gravity (g), Still Water Head (H_Stillwater), Velocity Head (H_V) & Number of End Contraction (n) and hit the calculate button. Here is how the Length of Crest considering Velocity calculation can be explained with given input values -> 4.667416 = ((3*28)/(2*0.66*sqrt(2*9.8)*(6.6^(3/2)-4.6^(3/2))))+(0.1*4*6.6).

FAQ

What is Length of Crest considering Velocity?

Length of Crest considering Velocity applies to the area of reclamation can be defined as the distance measured along the axis and is represented as L_w = ((3*Q_Fr')/(2*C_d*sqrt(2*g)*(H_Stillwater^(3/2)-H_V^(3/2))))+(0.1*n*H_Stillwater) or 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). 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, 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 & Number of End Contraction 1 can be described as the end contractions acting on a channel.

How to calculate Length of Crest considering Velocity?

Length of Crest considering Velocity applies to the area of reclamation can be defined as the distance measured along the axis is calculated using 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). To calculate Length of Crest considering Velocity, you need Francis Discharge with Suppressed End (Q_Fr'), Coefficient of Discharge (C_d), Acceleration due to Gravity (g), Still Water Head (H_Stillwater), Velocity Head (H_V) & Number of End Contraction (n). With our tool, you need to enter the respective value for Francis Discharge with Suppressed End, Coefficient of Discharge, Acceleration due to Gravity, Still Water Head, Velocity Head & Number of End Contraction 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, Still Water Head, Velocity Head & Number of End Contraction. We can use 3 other way(s) to calculate the same, which is/are as follows -

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 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 = (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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