Celerity of Solitary Wave Calculator

✖Height of the Wave is the difference between the elevations of a crest and a neighboring trough.ⓘ Height of the Wave [H_w]			+10% -10%
✖Water Depth from Bed means the depth as measured from the water level to the bottom of the considered water body.ⓘ Water Depth from Bed [D_w]			+10% -10%

✖Celerity of the Wave refers to the speed at which a wave propagates through a medium.ⓘ Celerity of Solitary Wave [C]

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Formula

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Celerity of Solitary Wave

Formula

C = \sqrt{[g] \cdot (H w + D w)}

Example

24.05395 m/s = \sqrt{[g] \cdot (14 m + 45 m)}

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Celerity of Solitary Wave Solution

STEP 0: Pre-Calculation Summary

Formula Used

Celerity of the Wave = sqrt([g]*(Height of the Wave+Water Depth from Bed))
C = sqrt([g]*(H_w+D_w))
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

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

Celerity of the Wave - (Measured in Meter per Second) - Celerity of the Wave refers to the speed at which a wave propagates through a medium.
Height of the Wave - (Measured in Meter) - Height of the Wave is the difference between the elevations of a crest and a neighboring trough.
Water Depth from Bed - (Measured in Meter) - Water Depth from Bed means the depth as measured from the water level to the bottom of the considered water body.

STEP 1: Convert Input(s) to Base Unit

Height of the Wave: 14 Meter --> 14 Meter No Conversion Required
Water Depth from Bed: 45 Meter --> 45 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C = sqrt([g]*(H_w+D_w)) --> sqrt([g]*(14+45))

Evaluating ... ...

C = 24.0539466616188

STEP 3: Convert Result to Output's Unit

24.0539466616188 Meter per Second --> No Conversion Required

FINAL ANSWER

24.0539466616188 ≈ 24.05395 Meter per Second <-- Celerity of the Wave

(Calculation completed in 00.004 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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< Solitary Wave Calculators

Water Surface above Bottom

Go Water Surface Ordinate = Water Depth from Bed+Height of the Wave*(sech(sqrt((3/4)*(Height of the Wave/Water Depth from Bed^3))*(Spatial (Progressive Wave)-(Celerity of the Wave*Temporal (Progressive Wave)))))^2

Wave Height given Celerity of Solitary Wave

Go Height of the Wave = (Celerity of the Wave^2/[g])-Water Depth from Bed

Water Depth given Volume of Water within Wave above Still Water Level

Go Water Depth from Bed = ((Volume of Water per Unit Crest Width)^2/((16/3)*Height of the Wave))^(1/3)

Volume of Water above Still Water Level per Unit Crest Width

Go Volume of Water per Unit Crest Width = ((16/3)*Water Depth from Bed^3*Height of the Wave)^0.5

Celerity of Solitary Wave Formula

Celerity of the Wave = sqrt([g]*(Height of the Wave+Water Depth from Bed))
C = sqrt([g]*(H_w+D_w))

What are the Characteristics of Progressive Waves?

A progressive wave is formed due to continuous vibration of the particles of the medium.
The wave travels with a certain velocity.
There is a flow of energy in the direction of the wave.
No particles in the medium are at rest.
The amplitude of all the particles is the same.

How to Calculate Celerity of Solitary Wave?

Celerity of Solitary Wave calculator uses Celerity of the Wave = sqrt([g]*(Height of the Wave+Water Depth from Bed)) to calculate the Celerity of the Wave, The Celerity of Solitary Wave is defined as the speed at which an individual wave advances or “propagates” . For a deepwater wave the celerity is directly proportional to the wave period. Celerity of the Wave is denoted by C symbol.

How to calculate Celerity of Solitary Wave using this online calculator? To use this online calculator for Celerity of Solitary Wave, enter Height of the Wave (H_w) & Water Depth from Bed (D_w) and hit the calculate button. Here is how the Celerity of Solitary Wave calculation can be explained with given input values -> 24.05395 = sqrt([g]*(14+45)).

FAQ

What is Celerity of Solitary Wave?

The Celerity of Solitary Wave is defined as the speed at which an individual wave advances or “propagates” . For a deepwater wave the celerity is directly proportional to the wave period and is represented as C = sqrt([g]*(H_w+D_w)) or Celerity of the Wave = sqrt([g]*(Height of the Wave+Water Depth from Bed)). Height of the Wave is the difference between the elevations of a crest and a neighboring trough & Water Depth from Bed means the depth as measured from the water level to the bottom of the considered water body.

How to calculate Celerity of Solitary Wave?

The Celerity of Solitary Wave is defined as the speed at which an individual wave advances or “propagates” . For a deepwater wave the celerity is directly proportional to the wave period is calculated using Celerity of the Wave = sqrt([g]*(Height of the Wave+Water Depth from Bed)). To calculate Celerity of Solitary Wave, you need Height of the Wave (H_w) & Water Depth from Bed (D_w). With our tool, you need to enter the respective value for Height of the Wave & Water Depth from Bed and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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