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
λo = (Ks/0.4466)^4*dw
This formula uses 3 Variables
Variables Used
Deep-Water Wavelength - (Measured in Meter) - Deep-Water Wavelength, deep water waves are defined as those occurring in ocean depths greater than twice the wavelength of the wave.
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
λo = (Ks/0.4466)^4*dw --> (0.945/0.4466)^4*0.4
Evaluating ... ...
λo = 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)

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
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16 Shoaling, Refraction and Breaking Calculators

Shoaling Coefficient
Go Shoaling Coefficient = (tanh(Wave Number for Water Wave*Mean Depth)*(1+(2*Wave Number for Water Wave*Mean Depth/sinh(2*Wave Number for Water Wave*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
λo = (Ks/0.4466)^4*dw

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 the distance between two identical points on successive waves, for example crest to crest, or trough to trough. Deep-Water Wavelength is denoted by λo 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 (Ks) & Water Depth in Ocean (dw) 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 the distance between two identical points on successive waves, for example crest to crest, or trough to trough and is represented as λo = (Ks/0.4466)^4*dw 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 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 (Ks) & Water Depth in Ocean (dw). 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
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