Water Depth when Reduced Shoaling Coefficient in shallow Water Calculator

✖Deep-Water Wavelength is the wavelength of a wave when the water depth is greater than half of its wavelength.ⓘ Deep-Water Wavelength [λ_o]			+10% -10%
✖Shoaling Coefficient is defined as the ratio of the wave height at deep water to the wave height at shallow water.ⓘ Shoaling Coefficient [K_s]			+10% -10%

✖Water Depth in Ocean refers to the vertical distance between the ocean surface and the ocean floor or seabed.ⓘ Water Depth when Reduced Shoaling Coefficient in shallow Water [d_w]

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Formula

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Water Depth when Reduced Shoaling Coefficient in shallow Water

Formula

`"d"_{"w"} = "λ"_{"o"}/("K"_{"s"}/0.2821)^2`

Example

`"0.623793m"="7m"/("0.945"/0.2821)^2`

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Water Depth when Reduced Shoaling Coefficient in shallow Water Solution

STEP 0: Pre-Calculation Summary

Formula Used

Water Depth in Ocean = Deep-Water Wavelength/(Shoaling Coefficient/0.2821)^2
d_w = λ_o/(K_s/0.2821)^2
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 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 the wave height at deep water to the wave height at shallow water.

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

d_w = λ_o/(K_s/0.2821)^2 --> 7/(0.945/0.2821)^2

Evaluating ... ...

d_w = 0.623793141289438

STEP 3: Convert Result to Output's Unit

0.623793141289438 Meter --> No Conversion Required

FINAL ANSWER

0.623793141289438 ≈ 0.623793 Meter <-- Water Depth in Ocean

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Coastal and Ocean Engineering » Surface Gravity Waves » Shoaling, Refraction and Breaking » Water Depth when Reduced Shoaling Coefficient in shallow Water

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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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< 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

Water Depth when Reduced Shoaling Coefficient in shallow Water Formula

Water Depth in Ocean = Deep-Water Wavelength/(Shoaling Coefficient/0.2821)^2
d_w = λ_o/(K_s/0.2821)^2

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 Water Depth when Reduced Shoaling Coefficient in shallow Water?

Water Depth when Reduced Shoaling Coefficient in shallow Water calculator uses Water Depth in Ocean = Deep-Water Wavelength/(Shoaling Coefficient/0.2821)^2 to calculate the Water Depth in Ocean, The Water Depth when Reduced Shoaling Coefficient in shallow Water is defined as the depth parameter in reference to a datum influencing the shoaling coefficient. Water Depth in Ocean is denoted by d_w symbol.

How to calculate Water Depth when Reduced Shoaling Coefficient in shallow Water using this online calculator? To use this online calculator for Water Depth when Reduced Shoaling Coefficient in shallow Water, enter Deep-Water Wavelength (λ_o) & Shoaling Coefficient (K_s) and hit the calculate button. Here is how the Water Depth when Reduced Shoaling Coefficient in shallow Water calculation can be explained with given input values -> 0.623793 = 7/(0.945/0.2821)^2.

FAQ

What is Water Depth when Reduced Shoaling Coefficient in shallow Water?

The Water Depth when Reduced Shoaling Coefficient in shallow Water is defined as the depth parameter in reference to a datum influencing the shoaling coefficient and is represented as d_w = λ_o/(K_s/0.2821)^2 or Water Depth in Ocean = Deep-Water Wavelength/(Shoaling Coefficient/0.2821)^2. Deep-Water Wavelength is the wavelength of a wave when the water depth is greater than half of its wavelength & Shoaling Coefficient is defined as the ratio of the wave height at deep water to the wave height at shallow water.

How to calculate Water Depth when Reduced Shoaling Coefficient in shallow Water?

The Water Depth when Reduced Shoaling Coefficient in shallow Water is defined as the depth parameter in reference to a datum influencing the shoaling coefficient is calculated using Water Depth in Ocean = Deep-Water Wavelength/(Shoaling Coefficient/0.2821)^2. To calculate Water Depth when Reduced Shoaling Coefficient in shallow Water, you need Deep-Water Wavelength (λ_o) & Shoaling Coefficient (K_s). 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/0.4466)^4

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