Wave Length for Reduced Shoaling Coefficient in Shallow Water Calculator

✖Water Depth in Ocean refers to the vertical distance between the ocean surface and the ocean floor or seabed.ⓘ Water Depth in Ocean [d_w]			+10% -10%
✖Shoaling Coefficient is defined as a dimensionless parameter used in the study of wave dynamics, particularly in shallow water wave theory.ⓘ Shoaling Coefficient [K_s]			+10% -10%

✖Deep-Water Wavelength is the horizontal distance between two successive crests (or troughs) of the wave.ⓘ Wave Length for Reduced Shoaling Coefficient in Shallow Water [λ_o]

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Formula

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Wave Length for Reduced Shoaling Coefficient in Shallow Water

Formula

λ o = d w \cdot {(\frac{K s}{0.2821})}^{2}

Example

4.488667 m = 0.4 m \cdot {(\frac{0.945}{0.2821})}^{2}

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Wave Length for Reduced Shoaling Coefficient in Shallow Water Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Water Depth in Ocean: 0.4 Meter --> 0.4 Meter No Conversion Required
Shoaling Coefficient: 0.945 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

λ_o = d_w*(K_s/0.2821)^2 --> 0.4*(0.945/0.2821)^2

Evaluating ... ...

λ_o = 4.48866749995382

STEP 3: Convert Result to Output's Unit

4.48866749995382 Meter --> No Conversion Required

FINAL ANSWER

4.48866749995382 ≈ 4.488667 Meter <-- Deep-Water Wavelength

(Calculation completed in 00.012 seconds)

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< 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

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

Go Refraction Coefficient = sqrt(Distance Between Two Rays at Deepwater/Distance Between Two Rays)

Distance between Two Rays at General Point

Go Distance Between Two Rays = Distance Between Two Rays at Deepwater/Refraction Coefficient^2

Wave Length for Reduced Shoaling Coefficient in Shallow Water Formula

Deep-Water Wavelength = Water Depth in Ocean*(Shoaling Coefficient/0.2821)^2
λ_o = d_w*(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 Wave Length for Reduced Shoaling Coefficient in Shallow Water?

Wave Length for Reduced Shoaling Coefficient in Shallow Water calculator uses Deep-Water Wavelength = Water Depth in Ocean*(Shoaling Coefficient/0.2821)^2 to calculate the Deep-Water Wavelength, The Wave Length for Reduced 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 λ_o symbol.

How to calculate Wave Length for Reduced Shoaling Coefficient in Shallow Water using this online calculator? To use this online calculator for Wave Length for Reduced Shoaling Coefficient in Shallow Water, enter Water Depth in Ocean (d_w) & Shoaling Coefficient (K_s) and hit the calculate button. Here is how the Wave Length for Reduced Shoaling Coefficient in Shallow Water calculation can be explained with given input values -> 11.78275 = 0.4*(0.945/0.2821)^2.

FAQ

What is Wave Length for Reduced Shoaling Coefficient in Shallow Water?

The Wave Length for Reduced 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 λ_o = d_w*(K_s/0.2821)^2 or Deep-Water Wavelength = Water Depth in Ocean*(Shoaling Coefficient/0.2821)^2. Water Depth in Ocean refers to the vertical distance between the ocean surface and the ocean floor or seabed & Shoaling Coefficient is defined as a dimensionless parameter used in the study of wave dynamics, particularly in shallow water wave theory.

How to calculate Wave Length for Reduced Shoaling Coefficient in Shallow Water?

The Wave Length for Reduced 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 = Water Depth in Ocean*(Shoaling Coefficient/0.2821)^2. To calculate Wave Length for Reduced Shoaling Coefficient in Shallow Water, you need Water Depth in Ocean (d_w) & Shoaling Coefficient (K_s). With our tool, you need to enter the respective value for Water Depth in Ocean & 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 Deep-Water Wavelength?

In this formula, Deep-Water Wavelength uses Water Depth in Ocean & Shoaling Coefficient. 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 = (Shoaling Coefficient/0.4466)^4*Water Depth in Ocean

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