Shoaling Coefficient in Shallow Water Calculator

✖Deep-Water Wavelength is the horizontal distance between two successive crests (or troughs) of the wave.ⓘ Deep-Water Wavelength [λ_o]			+10% -10%
✖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 in Shallow Water [K_s]

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Shoaling Coefficient in Shallow Water Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shoaling Coefficient = 0.4466*(Deep-Water Wavelength/Water Depth in Ocean)^(1/4)
K_s = 0.4466*(λ_o/d_w)^(1/4)
This formula uses 3 Variables

Variables Used

Shoaling Coefficient - Shoaling Coefficient is defined as a dimensionless parameter used in the study of wave dynamics, particularly in shallow water wave theory.
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.

STEP 1: Convert Input(s) to Base Unit

Deep-Water Wavelength: 7 Meter --> 7 Meter 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

K_s = 0.4466*(λ_o/d_w)^(1/4) --> 0.4466*(7/0.4)^(1/4)

Evaluating ... ...

K_s = 0.913436225146186

STEP 3: Convert Result to Output's Unit

0.913436225146186 --> No Conversion Required

FINAL ANSWER

0.913436225146186 ≈ 0.913436 <-- Shoaling Coefficient

(Calculation completed in 00.004 seconds)

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Coorg Institute of Technology (CIT), Coorg

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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

Shoaling Coefficient in Shallow Water Formula

LaTeX Go

Shoaling Coefficient = 0.4466*(Deep-Water Wavelength/Water Depth in Ocean)^(1/4)
K_s = 0.4466*(λ_o/d_w)^(1/4)

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 Shoaling Coefficient in Shallow Water?

Shoaling Coefficient in Shallow Water calculator uses Shoaling Coefficient = 0.4466*(Deep-Water Wavelength/Water Depth in Ocean)^(1/4) to calculate the Shoaling Coefficient, The Shoaling Coefficient in Shallow Water is defined as a dimensionless parameter used in the study of wave dynamics, particularly in shallow water wave theory, calculated with respect to shallow water. Shoaling Coefficient is denoted by K_s symbol.

How to calculate Shoaling Coefficient in Shallow Water using this online calculator? To use this online calculator for Shoaling Coefficient in Shallow Water, enter Deep-Water Wavelength (λ_o) & Water Depth in Ocean (d_w) and hit the calculate button. Here is how the Shoaling Coefficient in Shallow Water calculation can be explained with given input values -> 0.717622 = 0.4466*(7/0.4)^(1/4).

FAQ

What is Shoaling Coefficient in Shallow Water?

The Shoaling Coefficient in Shallow Water is defined as a dimensionless parameter used in the study of wave dynamics, particularly in shallow water wave theory, calculated with respect to shallow water and is represented as K_s = 0.4466*(λ_o/d_w)^(1/4) or Shoaling Coefficient = 0.4466*(Deep-Water Wavelength/Water Depth in Ocean)^(1/4). Deep-Water Wavelength is the horizontal distance between two successive crests (or troughs) of the wave & Water Depth in Ocean refers to the vertical distance between the ocean surface and the ocean floor or seabed.

How to calculate Shoaling Coefficient in Shallow Water?

The Shoaling Coefficient in Shallow Water is defined as a dimensionless parameter used in the study of wave dynamics, particularly in shallow water wave theory, calculated with respect to shallow water is calculated using Shoaling Coefficient = 0.4466*(Deep-Water Wavelength/Water Depth in Ocean)^(1/4). To calculate Shoaling Coefficient in Shallow Water, you need Deep-Water Wavelength (λ_o) & Water Depth in Ocean (d_w). With our tool, you need to enter the respective value for Deep-Water Wavelength & 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 Shoaling Coefficient?

In this formula, Shoaling Coefficient uses Deep-Water Wavelength & Water Depth in Ocean. We can use 2 other way(s) to calculate the same, which is/are as follows -

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 = sqrt(Deepwater Wave Celerity/(Celerity of the Wave*2*Ratio of Group Velocity to Phase Velocity))

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