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## Credits

National Institute of Technology Karnataka (NITK), Surathkal
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## Celerity of the Wave in surges Solution

STEP 0: Pre-Calculation Summary
Formula Used
celerity_of_the_wave = sqrt(([g]*Depth of Point 2*(Depth of Point 2+Depth of Point 1))/(2*Depth of Point 1))
C = sqrt(([g]*h 2*(h 2+h 1))/(2*h 1))
This formula uses 1 Constants, 1 Functions, 2 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665 Meter/Second²
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Depth of Point 2 - Depth of Point 2 is the depth of point below the free surface in a static mass of liquid. (Measured in Meter)
Depth of Point 1 - Depth of Point 1 is the depth of point below the free surface in a static mass of liquid. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Depth of Point 2: 15 Meter --> 15 Meter No Conversion Required
Depth of Point 1: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
C = sqrt(([g]*h 2*(h 2+h 1))/(2*h 1)) --> sqrt(([g]*15*(15+10))/(2*10))
Evaluating ... ...
C = 13.5600400994982
STEP 3: Convert Result to Output's Unit
13.5600400994982 Meter per Second --> No Conversion Required
13.5600400994982 Meter per Second <-- Celerity of the Wave
(Calculation completed in 00.031 seconds)

## < 11 Other formulas that you can solve using the same Inputs

Conjugate Depth y2 when Critical Depth is Given
depth2 = 0.5*Depth of Point 1*(-1+sqrt(1+(8*(critical depth*critical depth*critical depth))/(Depth of Point 1*Depth of Point 1*Depth of Point 1))) Go
Conjugate Depth y1 when Critical Depth is Given
depth1 = 0.5*Depth of Point 2*(-1+sqrt(1+(8*(critical depth*critical depth*critical depth))/(Depth of Point 2*Depth of Point 2*Depth of Point 2))) Go
Conjugate Depth y1 when Discharge per unit width of channel is Given
depth1 = 0.5*Depth of Point 2*(-1+sqrt(1+(8*(discharge per unit width^2))/([g]*Depth of Point 2*Depth of Point 2*Depth of Point 2))) Go
Conjugate Depth y2 when Discharge per unit width of channel is Given
depth2 = 0.5*Depth of Point 1*(-1+sqrt(1+(8*(discharge per unit width^2))/([g]*Depth of Point 1*Depth of Point 1*Depth of Point 1))) Go
Discharge per unit width of channel when conjugate depths are given
discharge_per_unit_width = sqrt((Depth of Point 1*Depth of Point 2*(Depth of Point 1+Depth of Point 2))*[g]*0.5) Go
Energy loss in Hydraulic Jump
energy_loss = ((Depth of Point 2-Depth of Point 1)^3)/(4*Depth of Point 1*Depth of Point 2) Go
Pressure Difference between two Points in a Liquid
pressure_difference = Specific Weight*(Depth of Point 1-Depth of Point 2) Go
Conjugate Depth y1 when Froude Number Fr1 is Given
depth1 = Depth of Point 2/(0.5*(-1+sqrt(1+(8*(Froude number^2))))) Go
Conjugate Depth y2 when Froude Number Fr1 is Given
depth2 = Depth of Point 1*(0.5*(-1+sqrt(1+(8*(Froude number^2))))) Go
Conjugate Depth y1 when Froude Number Fr2 is Given
depth1 = Depth of Point 2*(0.5*(-1+sqrt(1+(8*(Froude number^2))))) Go
Conjugate Depth y2 when Froude Number Fr2 is Given
depth2 = Depth of Point 1/(0.5*(-1+sqrt(1+(8*(Froude number^2))))) Go

## < 11 Other formulas that calculate the same Output

Celerity of the Wave in non uniform flow
celerity_of_the_wave = sqrt([g]*Depth of Point 1*(1+1.5*(Height/Depth of Point 1)+0.5*(Height/Depth of Point 1)*(Height/Depth of Point 1))) Go
Celerity of the Wave when Velocity at depth1 is Given
celerity_of_the_wave = (Velocity_of the fluid at 1)/(((([g]*(Depth of Point 2+Depth of Point 1))/(2*Depth of Point 1))/Height)) Go
Celerity of the Wave when two depth is known
celerity_of_the_wave = sqrt(([g]*Depth of Point 2*(Depth of Point 2+Depth of Point 1))/(2*Depth of Point 1)) Go
Celerity of the Wave when Velocity at Depth2 when surge height is negligible is Given
celerity_of_the_wave = (Height*[g])/(Velocity_of the fluid at 1-Velocity_of the fluid at 2) Go
Celerity of the Wave when Surge Height for surge height is negligible the depth of flow is Given
celerity_of_the_wave = Height*[g]/Velocity_of the fluid at 1 Go
Celerity of the Wave from Lagrange's Celerity Equation
celerity_of_the_wave = sqrt([g]*Depth of Point 1) Go
Celerity of the Wave when Absolute Velocity of Surges is Given
celerity_of_the_wave = Absolute Velocity of the Issuing Jet-Mean velocity Go
Celerity of the Wave when is depth is known
celerity_of_the_wave = sqrt([g]*Depth) Go
Phase Velocity or Wave Celerity in terms of Radian Frequency and Wavenumber
celerity_of_the_wave = Radian Frequencies/Wave Number Go
Wave Celerity in terms of Wavelength and Wave Period
celerity_of_the_wave = Wavelength/wave period Go
Phase Velocity or Wave Celerity
celerity_of_the_wave = Wavelength/wave period Go

### Celerity of the Wave in surges Formula

celerity_of_the_wave = sqrt(([g]*Depth of Point 2*(Depth of Point 2+Depth of Point 1))/(2*Depth of Point 1))
C = sqrt(([g]*h 2*(h 2+h 1))/(2*h 1))

## What is Celerity of the Wave ?

The open channel Surges due to sudden changes of flow depth creates Celerity (Wave Velocity) in the flow in addition to the normal water velocity of the channels. These waves travel in the downstream and sometimes upstream of the channels depending on the various situations.

## How to Calculate Celerity of the Wave in surges?

Celerity of the Wave in surges calculator uses celerity_of_the_wave = sqrt(([g]*Depth of Point 2*(Depth of Point 2+Depth of Point 1))/(2*Depth of Point 1)) to calculate the Celerity of the Wave, The Celerity of the Wave in surges is defined as is the addition to the normal water velocity of the channels in open channel flow. Celerity of the Wave and is denoted by C symbol.

How to calculate Celerity of the Wave in surges using this online calculator? To use this online calculator for Celerity of the Wave in surges, enter Depth of Point 2 (h 2) and Depth of Point 1 (h 1) and hit the calculate button. Here is how the Celerity of the Wave in surges calculation can be explained with given input values -> 13.56004 = sqrt(([g]*15*(15+10))/(2*10)).

### FAQ

What is Celerity of the Wave in surges?
The Celerity of the Wave in surges is defined as is the addition to the normal water velocity of the channels in open channel flow and is represented as C = sqrt(([g]*h 2*(h 2+h 1))/(2*h 1)) or celerity_of_the_wave = sqrt(([g]*Depth of Point 2*(Depth of Point 2+Depth of Point 1))/(2*Depth of Point 1)). Depth of Point 2 is the depth of point below the free surface in a static mass of liquid and Depth of Point 1 is the depth of point below the free surface in a static mass of liquid.
How to calculate Celerity of the Wave in surges?
The Celerity of the Wave in surges is defined as is the addition to the normal water velocity of the channels in open channel flow is calculated using celerity_of_the_wave = sqrt(([g]*Depth of Point 2*(Depth of Point 2+Depth of Point 1))/(2*Depth of Point 1)). To calculate Celerity of the Wave in surges, you need Depth of Point 2 (h 2) and Depth of Point 1 (h 1). With our tool, you need to enter the respective value for Depth of Point 2 and Depth of Point 1 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 Celerity of the Wave?
In this formula, Celerity of the Wave uses Depth of Point 2 and Depth of Point 1. We can use 11 other way(s) to calculate the same, which is/are as follows -
• celerity_of_the_wave = sqrt(([g]*Depth of Point 2*(Depth of Point 2+Depth of Point 1))/(2*Depth of Point 1))
• celerity_of_the_wave = (Height*[g])/(Velocity_of the fluid at 1-Velocity_of the fluid at 2)
• celerity_of_the_wave = sqrt([g]*Depth of Point 1*(1+1.5*(Height/Depth of Point 1)+0.5*(Height/Depth of Point 1)*(Height/Depth of Point 1)))
• celerity_of_the_wave = sqrt([g]*Depth of Point 1)
• celerity_of_the_wave = (Velocity_of the fluid at 1)/(((([g]*(Depth of Point 2+Depth of Point 1))/(2*Depth of Point 1))/Height))
• celerity_of_the_wave = Height*[g]/Velocity_of the fluid at 1
• celerity_of_the_wave = Absolute Velocity of the Issuing Jet-Mean velocity
• celerity_of_the_wave = sqrt([g]*Depth)
• celerity_of_the_wave = Wavelength/wave period
• celerity_of_the_wave = Radian Frequencies/Wave Number
• celerity_of_the_wave = Wavelength/wave period
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