Celerity of the Wave in surges Calculator

Main Category	Engineering ↺
Engineering	Civil ↺
Civil	Hydraulics and Waterworks ↺
Hydraulics and Waterworks	Non-uniform Flow in Channels ↺
Non-uniform Flow in Channels	Surges in Open Channel Flow ↺
Surges in Open Channel Flow	Surge due to Sudden Reduction of Flow ↺

✖Depth of Point 2 is the depth of point below the free surface in a static mass of liquid.ⓘ Depth of Point 2 [h ₂]			+10% -10%
✖Depth of Point 1 is the depth of point below the free surface in a static mass of liquid.ⓘ Depth of Point 1 [h ₁]			+10% -10%

✖Celerity of the Wave is the addition to the normal water velocity of the channels.ⓘ Celerity of the Wave in surges [C]

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Credits

Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has created this Calculator and 1000+ more calculators!

Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has verified this Calculator and 1000+ more calculators!

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

FINAL ANSWER

13.5600400994982 Meter per Second <-- Celerity of the Wave

(Calculation completed in 00.031 seconds)

You are here

< 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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