Shoaling Coefficient in Shallow Water Calculator

✖Deep-Water Wavelength is the wavelength of a wave when the water depth is greater than half of its wavelength.ⓘ Deep-Water Wavelength [λ_o]			+10% -10%
✖Water Depth in Ocean means the depth as measured from the water level to the bottom of the considered water body.ⓘ Water Depth in Ocean [d_w]			+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 in Shallow Water [K_s]

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Formula

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Shoaling Coefficient in Shallow Water

Formula

`"K"_{"s"} = 0.4466*("λ"_{"o"}/"d"_{"w"})^(1/4)`

Example

`"0.913436"=0.4466*("7m"/"0.4m")^(1/4)`

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Shoaling Coefficient in Shallow Water Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shoaling Coefficient = 0.4466*(Deep-Water Wavelength/Water Depth in Ocean)^(1/4)
K_s = 0.4466*(λ_o/d_w)^(1/4)
This formula uses 3 Variables

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).
Deep-Water Wavelength - (Measured in Meter) - Deep-Water Wavelength is the wavelength of a wave when the water depth is greater than half of its wavelength.
Water Depth in Ocean - (Measured in Meter) - Water Depth in Ocean 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

Deep-Water Wavelength: 7 Meter --> 7 Meter No Conversion Required
Water Depth in Ocean: 0.4 Meter --> 0.4 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K_s = 0.4466*(λ_o/d_w)^(1/4) --> 0.4466*(7/0.4)^(1/4)

Evaluating ... ...

K_s = 0.913436225146186

STEP 3: Convert Result to Output's Unit

0.913436225146186 --> No Conversion Required

FINAL ANSWER

0.913436225146186 ≈ 0.913436 <-- 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 in Shallow Water

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has created this Calculator and 2000+ more calculators!

Verified by M Naveen

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 in Shallow Water Formula

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

What is Shoaling ?

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 in Shallow Water?

Shoaling Coefficient in Shallow Water calculator uses Shoaling Coefficient = 0.4466*(Deep-Water Wavelength/Water Depth in Ocean)^(1/4) to calculate the Shoaling Coefficient, The Shoaling Coefficient in Shallow Water is defined as the ratio of wave height at a particular point of interest to the original or deep water wave height (Ho). Shoaling Coefficient is denoted by K_s symbol.

How to calculate Shoaling Coefficient in Shallow Water using this online calculator? To use this online calculator for Shoaling Coefficient in Shallow Water, enter Deep-Water Wavelength (λ_o) & Water Depth in Ocean (d_w) and hit the calculate button. Here is how the Shoaling Coefficient in Shallow Water calculation can be explained with given input values -> 0.717622 = 0.4466*(7/0.4)^(1/4).

FAQ

What is Shoaling Coefficient in Shallow Water?

The Shoaling Coefficient in Shallow Water is defined as the ratio of wave height at a particular point of interest to the original or deep water wave height (Ho) and is represented as K_s = 0.4466*(λ_o/d_w)^(1/4) or Shoaling Coefficient = 0.4466*(Deep-Water Wavelength/Water Depth in Ocean)^(1/4). Deep-Water Wavelength is the wavelength of a wave when the water depth is greater than half of its wavelength & Water Depth in Ocean means the depth as measured from the water level to the bottom of the considered water body.

How to calculate Shoaling Coefficient in Shallow Water?

The Shoaling Coefficient in Shallow Water is defined as the ratio of wave height at a particular point of interest to the original or deep water wave height (Ho) is calculated using Shoaling Coefficient = 0.4466*(Deep-Water Wavelength/Water Depth in Ocean)^(1/4). To calculate Shoaling Coefficient in Shallow Water, you need Deep-Water Wavelength (λ_o) & Water Depth in Ocean (d_w). With our tool, you need to enter the respective value for Deep-Water Wavelength & Water Depth in Ocean 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 Deep-Water Wavelength & Water Depth in Ocean. 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 = sqrt(Deepwater Wave Celerity/(Celerity of the Wave*2*Ratio of Group Velocity to Phase Velocity))

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