Deepwater Wavelength for Shoaling Coefficient in Shallow Water Calculator

✖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 [K_s]			+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%

✖Deep-Water Wavelength is the wavelength of a wave when the water depth is greater than half of its wavelength.ⓘ Deepwater Wavelength for Shoaling Coefficient in Shallow Water [λ_o]

⎘ Copy

👎

Formula

✖

Deepwater Wavelength for Shoaling Coefficient in Shallow Water

Formula

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

Example

`"8.018855m"=("0.945"/0.4466)^4*"0.4m"`

Calculator

LaTeX

Reset

👍

Download Coastal and Ocean Engineering Formula PDF PDF Image

Deepwater Wavelength for Shoaling Coefficient in Shallow Water Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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).
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

Shoaling Coefficient: 0.945 --> 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

λ_o = (K_s/0.4466)^4*d_w --> (0.945/0.4466)^4*0.4

Evaluating ... ...

λ_o = 8.01885481452626

STEP 3: Convert Result to Output's Unit

8.01885481452626 Meter --> No Conversion Required

FINAL ANSWER

8.01885481452626 ≈ 8.018855 Meter <-- Deep-Water Wavelength

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Coastal and Ocean Engineering » Surface Gravity Waves » Shoaling, Refraction and Breaking » Deepwater Wavelength for Shoaling Coefficient in Shallow Water

Credits

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

M Naveen has verified this Calculator and 900+ more calculators!

< 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

Deepwater Wavelength for Shoaling Coefficient in Shallow Water Formula

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

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 Deepwater Wavelength for Shoaling Coefficient in Shallow Water?

Deepwater Wavelength for Shoaling Coefficient in Shallow Water calculator uses Deep-Water Wavelength = (Shoaling Coefficient/0.4466)^4*Water Depth in Ocean to calculate the Deep-Water Wavelength, The Deepwater Wavelength for Shoaling Coefficient in Shallow Water is defined as the distance between two identical points on successive waves, for example crest to crest, or trough to trough. Deep-Water Wavelength is denoted by λ_o symbol.

How to calculate Deepwater Wavelength for Shoaling Coefficient in Shallow Water using this online calculator? To use this online calculator for Deepwater Wavelength for Shoaling Coefficient in Shallow Water, enter Shoaling Coefficient (K_s) & Water Depth in Ocean (d_w) and hit the calculate button. Here is how the Deepwater Wavelength for Shoaling Coefficient in Shallow Water calculation can be explained with given input values -> 21.04949 = (0.945/0.4466)^4*0.4.

FAQ

What is Deepwater Wavelength for Shoaling Coefficient in Shallow Water?

The Deepwater Wavelength for Shoaling Coefficient in Shallow Water is defined as the distance between two identical points on successive waves, for example crest to crest, or trough to trough and is represented as λ_o = (K_s/0.4466)^4*d_w or Deep-Water Wavelength = (Shoaling Coefficient/0.4466)^4*Water Depth in Ocean. 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) & Water Depth in Ocean means the depth as measured from the water level to the bottom of the considered water body.

How to calculate Deepwater Wavelength for Shoaling Coefficient in Shallow Water?

The Deepwater Wavelength for Shoaling Coefficient in Shallow Water is defined as the distance between two identical points on successive waves, for example crest to crest, or trough to trough is calculated using Deep-Water Wavelength = (Shoaling Coefficient/0.4466)^4*Water Depth in Ocean. To calculate Deepwater Wavelength for Shoaling Coefficient in Shallow Water, you need Shoaling Coefficient (K_s) & Water Depth in Ocean (d_w). With our tool, you need to enter the respective value for Shoaling Coefficient & 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 Deep-Water Wavelength?

In this formula, Deep-Water Wavelength uses Shoaling Coefficient & Water Depth in Ocean. We can use 2 other way(s) to calculate the same, which is/are as follows -

Deep-Water Wavelength = (Breaking Wave^2*Wave Height for Surface Gravity Waves)/Beach Slope^2
Deep-Water Wavelength = Water Depth in Ocean*(Shoaling Coefficient/0.2821)^2

Home

FREE PDFs

🔍 Search