Shoaling Coefficient given Wave Celerity Calculator

✖Deepwater Wave Celerity is the speed at which an individual wave advances or propagates occurring or existing in water of great depth.ⓘ Deepwater Wave Celerity [C_o]			+10% -10%
✖Celerity of the Wave refers to the speed at which waves propagate through a medium, typically water.ⓘ Celerity of the Wave [C]			+10% -10%
✖Ratio of Group Velocity to Phase Velocity is relationship between group velocity and phase velocity of waves is crucial for various applications, including wave transformation.ⓘ Ratio of Group Velocity to Phase Velocity [n]			+10% -10%

✖Shoaling Coefficient is defined as the ratio of wave height (Hi) at a particular point of interest to the original or deep water wave height (Ho).ⓘ Shoaling Coefficient given Wave Celerity [K_s]

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Formula

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Shoaling Coefficient given Wave Celerity

Formula

`"K"_{"s"} = sqrt("C"_{"o"}/("C"*2*"n"))`

Example

`"0.948683"=sqrt("4.5m/s"/("010m/s"*2*"0.25"))`

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Shoaling Coefficient given Wave Celerity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shoaling Coefficient = sqrt(Deepwater Wave Celerity/(Celerity of the Wave*2*Ratio of Group Velocity to Phase Velocity))
K_s = sqrt(C_o/(C*2*n))
This formula uses 1 Functions, 4 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

Shoaling Coefficient - Shoaling Coefficient is defined as the ratio of wave height (Hi) at a particular point of interest to the original or deep water wave height (Ho).
Deepwater Wave Celerity - (Measured in Meter per Second) - Deepwater Wave Celerity is the speed at which an individual wave advances or propagates occurring or existing in water of great depth.
Celerity of the Wave - (Measured in Meter per Second) - Celerity of the Wave refers to the speed at which waves propagate through a medium, typically water.
Ratio of Group Velocity to Phase Velocity - Ratio of Group Velocity to Phase Velocity is relationship between group velocity and phase velocity of waves is crucial for various applications, including wave transformation.

STEP 1: Convert Input(s) to Base Unit

Deepwater Wave Celerity: 4.5 Meter per Second --> 4.5 Meter per Second No Conversion Required
Celerity of the Wave: 10 Meter per Second --> 10 Meter per Second No Conversion Required
Ratio of Group Velocity to Phase Velocity: 0.25 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K_s = sqrt(C_o/(C*2*n)) --> sqrt(4.5/(10*2*0.25))

Evaluating ... ...

K_s = 0.948683298050514

STEP 3: Convert Result to Output's Unit

0.948683298050514 --> No Conversion Required

FINAL ANSWER

0.948683298050514 ≈ 0.948683 <-- Shoaling Coefficient

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Coastal and Ocean Engineering » Surface Gravity Waves » Shoaling, Refraction and Breaking » Shoaling Coefficient given Wave Celerity

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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National Institute of Technology (NIT), Warangal

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< 16 Shoaling, Refraction and Breaking Calculators

Shoaling Coefficient

Go Shoaling Coefficient = (tanh(Wave Number for Water Wave*Coastal Mean Depth)*(1+(2*Wave Number for Water Wave*Coastal Mean Depth/sinh(2*Wave Number for Water Wave*Coastal Mean Depth))))^-0.5

Shoaling Coefficient given Wave Celerity

Go Shoaling Coefficient = sqrt(Deepwater Wave Celerity/(Celerity of the Wave*2*Ratio of Group Velocity to Phase Velocity))

Beach Slope given Breaking Wave and Wave Height at Breaking Point

Go Beach Slope = Breaking Wave*sqrt(Wave Height for Surface Gravity Waves/Deep-Water Wavelength)

Breaking Wave given wave height at Breaking Point

Go Breaking Wave = Beach Slope/sqrt(Wave Height for Surface Gravity Waves/Deep-Water Wavelength)

Deepwater Wave Height for Shoaling Coefficient and Refraction Coefficient

Go Wave Height in Deepwater = Wave Height for Surface Gravity Waves/(Shoaling Coefficient*Refraction Coefficient)

Refraction Coefficient given Relative Change of Wave Height

Go Refraction Coefficient = Wave Height for Surface Gravity Waves/(Wave Height in Deepwater*Shoaling Coefficient)

Wave Height given Shoaling Coefficient and Refraction Coefficient

Go Wave Height for Surface Gravity Waves = Wave Height in Deepwater*Shoaling Coefficient*Refraction Coefficient

Refraction Coefficient

Go Refraction Coefficient = sqrt(Distance Between Two Rays at Deepwater/Distance Between Two Rays)

Wave Height at Breaking Point given Breaking Wave and Wave Height at Breaking Point

Go Wave Height for Surface Gravity Waves = (Deep-Water Wavelength*Beach Slope^2)/Breaking Wave^2

Deepwater Wavelength given Wave Breaking and Wave Height at Breaking Point

Go Deep-Water Wavelength = (Breaking Wave^2*Wave Height for Surface Gravity Waves)/Beach Slope^2

Distance between Two Rays at General Point

Go Distance Between Two Rays = Distance Between Two Rays at Deepwater/Refraction Coefficient^2

Shoaling Coefficient in Shallow Water

Go Shoaling Coefficient = 0.4466*(Deep-Water Wavelength/Water Depth in Ocean)^(1/4)

Water Depth when Reduced Shoaling Coefficient in shallow Water

Go Water Depth in Ocean = Deep-Water Wavelength/(Shoaling Coefficient/0.2821)^2

Deepwater Wavelength for Shoaling Coefficient in Shallow Water

Go Deep-Water Wavelength = (Shoaling Coefficient/0.4466)^4*Water Depth in Ocean

Wave Length for Reduced Shoaling Coefficient in Shallow Water

Go Deep-Water Wavelength = Water Depth in Ocean*(Shoaling Coefficient/0.2821)^2

Water Depth given Shoaling Coefficient in Shallow Water

Go Water Depth in Ocean = Deep-Water Wavelength/(Shoaling Coefficient/0.4466)^4

Shoaling Coefficient given Wave Celerity Formula

Shoaling Coefficient = sqrt(Deepwater Wave Celerity/(Celerity of the Wave*2*Ratio of Group Velocity to Phase Velocity))
K_s = sqrt(C_o/(C*2*n))

What does Shoaling Mean?

Shoaling is the deformation of incident waves on the lower shoreface that starts when the water depth becomes less than about half of the wavelength, causing the waves to become steeper: increase in amplitude and decrease in wavelength.

How to Calculate Shoaling Coefficient given Wave Celerity?

Shoaling Coefficient given Wave Celerity calculator uses Shoaling Coefficient = sqrt(Deepwater Wave Celerity/(Celerity of the Wave*2*Ratio of Group Velocity to Phase Velocity)) to calculate the Shoaling Coefficient, The Shoaling Coefficient given Wave Celerity is defined as the ratio of wave height (Hi) at a particular point of interest to the original or deep water wave height. Shoaling Coefficient is denoted by K_s symbol.

How to calculate Shoaling Coefficient given Wave Celerity using this online calculator? To use this online calculator for Shoaling Coefficient given Wave Celerity, enter Deepwater Wave Celerity (C_o), Celerity of the Wave (C) & Ratio of Group Velocity to Phase Velocity (n) and hit the calculate button. Here is how the Shoaling Coefficient given Wave Celerity calculation can be explained with given input values -> 0.948683 = sqrt(4.5/(10*2*0.25)).

FAQ

What is Shoaling Coefficient given Wave Celerity?

The Shoaling Coefficient given Wave Celerity is defined as the ratio of wave height (Hi) at a particular point of interest to the original or deep water wave height and is represented as K_s = sqrt(C_o/(C*2*n)) or Shoaling Coefficient = sqrt(Deepwater Wave Celerity/(Celerity of the Wave*2*Ratio of Group Velocity to Phase Velocity)). Deepwater Wave Celerity is the speed at which an individual wave advances or propagates occurring or existing in water of great depth, Celerity of the Wave refers to the speed at which waves propagate through a medium, typically water & Ratio of Group Velocity to Phase Velocity is relationship between group velocity and phase velocity of waves is crucial for various applications, including wave transformation.

How to calculate Shoaling Coefficient given Wave Celerity?

The Shoaling Coefficient given Wave Celerity is defined as the ratio of wave height (Hi) at a particular point of interest to the original or deep water wave height is calculated using Shoaling Coefficient = sqrt(Deepwater Wave Celerity/(Celerity of the Wave*2*Ratio of Group Velocity to Phase Velocity)). To calculate Shoaling Coefficient given Wave Celerity, you need Deepwater Wave Celerity (C_o), Celerity of the Wave (C) & Ratio of Group Velocity to Phase Velocity (n). With our tool, you need to enter the respective value for Deepwater Wave Celerity, Celerity of the Wave & Ratio of Group Velocity to Phase Velocity 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 Shoaling Coefficient?

In this formula, Shoaling Coefficient uses Deepwater Wave Celerity, Celerity of the Wave & Ratio of Group Velocity to Phase Velocity. We can use 2 other way(s) to calculate the same, which is/are as follows -

Shoaling Coefficient = (tanh(Wave Number for Water Wave*Coastal Mean Depth)*(1+(2*Wave Number for Water Wave*Coastal Mean Depth/sinh(2*Wave Number for Water Wave*Coastal Mean Depth))))^-0.5
Shoaling Coefficient = 0.4466*(Deep-Water Wavelength/Water Depth in Ocean)^(1/4)

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