Water Depth given Shoaling Coefficient in Shallow Water Solution

STEP 0: Pre-Calculation Summary
Formula Used
Water Depth in Ocean = Deep-Water Wavelength/(Shoaling Coefficient/0.4466)^4
dw = λo/(Ks/0.4466)^4
This formula uses 3 Variables
Variables Used
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.
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.
STEP 1: Convert Input(s) to Base Unit
Deep-Water Wavelength: 7 Meter --> 7 Meter No Conversion Required
Shoaling Coefficient: 0.945 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
dw = λo/(Ks/0.4466)^4 --> 7/(0.945/0.4466)^4
Evaluating ... ...
dw = 0.349177041455815
STEP 3: Convert Result to Output's Unit
0.349177041455815 Meter --> No Conversion Required
FINAL ANSWER
0.349177041455815 0.349177 Meter <-- Water Depth in Ocean
(Calculation completed in 00.004 seconds)

Credits

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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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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

Water Depth given Shoaling Coefficient in Shallow Water Formula

​LaTeX ​Go
Water Depth in Ocean = Deep-Water Wavelength/(Shoaling Coefficient/0.4466)^4
dw = λo/(Ks/0.4466)^4

What is Wave Energy?

Wave energy (or wave power) is the transport and capture of energy by ocean surface waves. The energy captured is then used for all different kinds of useful work, including electricity generation, water desalination, and pumping of water.

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 Water Depth given Shoaling Coefficient in Shallow Water?

Water Depth given Shoaling Coefficient in Shallow Water calculator uses Water Depth in Ocean = Deep-Water Wavelength/(Shoaling Coefficient/0.4466)^4 to calculate the Water Depth in Ocean, The Water Depth given Shoaling Coefficient in Shallow Water is defined as the depth parameter in reference to datum influencing shoaling coefficient. Water Depth in Ocean is denoted by dw symbol.

How to calculate Water Depth given Shoaling Coefficient in Shallow Water using this online calculator? To use this online calculator for Water Depth given Shoaling Coefficient in Shallow Water, enter Deep-Water Wavelength o) & Shoaling Coefficient (Ks) and hit the calculate button. Here is how the Water Depth given Shoaling Coefficient in Shallow Water calculation can be explained with given input values -> 0.349177 = 7/(0.945/0.4466)^4.

FAQ

What is Water Depth given Shoaling Coefficient in Shallow Water?
The Water Depth given Shoaling Coefficient in Shallow Water is defined as the depth parameter in reference to datum influencing shoaling coefficient and is represented as dw = λo/(Ks/0.4466)^4 or Water Depth in Ocean = Deep-Water Wavelength/(Shoaling Coefficient/0.4466)^4. Deep-Water Wavelength is the horizontal distance between two successive crests (or troughs) of the wave & Shoaling Coefficient is defined as a dimensionless parameter used in the study of wave dynamics, particularly in shallow water wave theory.
How to calculate Water Depth given Shoaling Coefficient in Shallow Water?
The Water Depth given Shoaling Coefficient in Shallow Water is defined as the depth parameter in reference to datum influencing shoaling coefficient is calculated using Water Depth in Ocean = Deep-Water Wavelength/(Shoaling Coefficient/0.4466)^4. To calculate Water Depth given Shoaling Coefficient in Shallow Water, you need Deep-Water Wavelength o) & Shoaling Coefficient (Ks). With our tool, you need to enter the respective value for Deep-Water Wavelength & Shoaling Coefficient 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 Water Depth in Ocean?
In this formula, Water Depth in Ocean uses Deep-Water Wavelength & Shoaling Coefficient. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Water Depth in Ocean = Deep-Water Wavelength/(Shoaling Coefficient/0.2821)^2
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