Shoaling Coefficient Calculator

✖Wave Number for Water Wave represents the spatial frequency of a wave, indicating how many wavelengths occur in a given distance.ⓘ Wave Number for Water Wave [k]			+10% -10%
✖Coastal Mean Depth of a fluid flow is a measure of the average depth of the fluid in a channel, pipe, or other conduit through which the fluid is flowing.ⓘ Coastal Mean Depth [d]			+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]

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Shoaling Coefficient Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
K_s = (tanh(k*d)*(1+(2*k*d/sinh(2*k*d))))^-0.5
This formula uses 2 Functions, 3 Variables

Functions Used

sinh - The hyperbolic sine function, also known as the sinh function, is a mathematical function that is defined as the hyperbolic analogue of the sine function., sinh(Number)
tanh - The hyperbolic tangent function (tanh) is a function that is defined as the ratio of the hyperbolic sine function (sinh) to the hyperbolic cosine function (cosh)., tanh(Number)

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.
Wave Number for Water Wave - Wave Number for Water Wave represents the spatial frequency of a wave, indicating how many wavelengths occur in a given distance.
Coastal Mean Depth - (Measured in Meter) - Coastal Mean Depth of a fluid flow is a measure of the average depth of the fluid in a channel, pipe, or other conduit through which the fluid is flowing.

STEP 1: Convert Input(s) to Base Unit

Wave Number for Water Wave: 0.2 --> No Conversion Required
Coastal Mean Depth: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K_s = (tanh(k*d)*(1+(2*k*d/sinh(2*k*d))))^-0.5 --> (tanh(0.2*10)*(1+(2*0.2*10/sinh(2*0.2*10))))^-0.5

Evaluating ... ...

K_s = 0.951161301745107

STEP 3: Convert Result to Output's Unit

0.951161301745107 --> No Conversion Required

FINAL ANSWER

0.951161301745107 ≈ 0.951161 <-- Shoaling Coefficient

(Calculation completed in 00.004 seconds)

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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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< 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 Formula

LaTeX Go

What is the Process of Wave Shoaling?

In fluid dynamics, Wave Shoaling is the effect by which surface waves entering shallower water change in wave height. It is caused by the fact that the group velocity, which is also the wave-energy transport velocity, changes with water depth.

How to Calculate Shoaling Coefficient?

Shoaling Coefficient calculator uses 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 to calculate the Shoaling Coefficient, The Shoaling Coefficient is defined as a dimensionless parameter used in the study of wave dynamics, particularly in shallow water wave theory. Shoaling Coefficient is denoted by K_s symbol.

How to calculate Shoaling Coefficient using this online calculator? To use this online calculator for Shoaling Coefficient, enter Wave Number for Water Wave (k) & Coastal Mean Depth (d) and hit the calculate button. Here is how the Shoaling Coefficient calculation can be explained with given input values -> 0.951161 = (tanh(0.2*10)*(1+(2*0.2*10/sinh(2*0.2*10))))^-0.5.

FAQ

What is Shoaling Coefficient?

The Shoaling Coefficient is defined as a dimensionless parameter used in the study of wave dynamics, particularly in shallow water wave theory and is represented as K_s = (tanh(k*d)*(1+(2*k*d/sinh(2*k*d))))^-0.5 or 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. Wave Number for Water Wave represents the spatial frequency of a wave, indicating how many wavelengths occur in a given distance & Coastal Mean Depth of a fluid flow is a measure of the average depth of the fluid in a channel, pipe, or other conduit through which the fluid is flowing.

How to calculate Shoaling Coefficient?

The Shoaling Coefficient is defined as a dimensionless parameter used in the study of wave dynamics, particularly in shallow water wave theory is calculated using 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. To calculate Shoaling Coefficient, you need Wave Number for Water Wave (k) & Coastal Mean Depth (d). With our tool, you need to enter the respective value for Wave Number for Water Wave & Coastal Mean Depth 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 Wave Number for Water Wave & Coastal Mean Depth. We can use 2 other way(s) to calculate the same, which is/are as follows -

Shoaling Coefficient = sqrt(Deepwater Wave Celerity/(Celerity of the Wave*2*Ratio of Group Velocity to Phase Velocity))
Shoaling Coefficient = 0.4466*(Deep-Water Wavelength/Water Depth in Ocean)^(1/4)

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