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 means the depth as measured from the water level to the bottom of the considered water body.
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).
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 00.020 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

Water Depth given Shoaling Coefficient in Shallow Water Formula

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, Water Depth given Shoaling Coefficient in Shallow Water is defined as 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?
Water Depth given Shoaling Coefficient in Shallow Water is defined as 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, deep water waves are defined as those occurring in ocean depths greater than twice the wavelength of the wave & 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).
How to calculate Water Depth given Shoaling Coefficient in Shallow Water?
Water Depth given Shoaling Coefficient in Shallow Water is defined as 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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