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 is the horizontal distance between two successive crests (or troughs) of the wave.
Shoaling Coefficient - Shoaling Coefficient is defined as a dimensionless parameter used in the study of wave dynamics, particularly in shallow water wave theory.
Water Depth in Ocean - (Measured in Meter) - Water Depth in Ocean refers to the vertical distance between the ocean surface and the ocean floor or seabed.
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

Creator Image
Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
Mithila Muthamma PA has created this Calculator and 2000+ more calculators!
Verifier Image
Verified by M Naveen
National Institute of Technology (NIT), Warangal
M Naveen has verified this Calculator and 900+ more calculators!

Shoaling, Refraction and Breaking Calculators

Shoaling Coefficient
​ LaTeX ​ 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
Deepwater Wave Height for Shoaling Coefficient and Refraction Coefficient
​ LaTeX ​ Go Wave Height in Deepwater = Wave Height for Surface Gravity Waves/(Shoaling Coefficient*Refraction Coefficient)
Refraction Coefficient
​ LaTeX ​ Go Refraction Coefficient = sqrt(Distance Between Two Rays at Deepwater/Distance Between Two Rays)
Distance between Two Rays at General Point
​ LaTeX ​ Go Distance Between Two Rays = Distance Between Two Rays at Deepwater/Refraction Coefficient^2

Deepwater Wavelength for Shoaling Coefficient in Shallow Water Formula

​LaTeX ​Go
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 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 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 defined as 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 a dimensionless parameter used in the study of wave dynamics, particularly in shallow water wave theory & Water Depth in Ocean refers to the vertical distance between the ocean surface and the ocean floor or seabed.
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 (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
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!