Shoaling Coefficient given Wave Celerity Calculator

✖Deepwater Wave Celerity is the speed at which an individual wave advances or propagates occurring or existing in water of great depth.ⓘ Deepwater Wave Celerity [C_o]			+10% -10%
✖Celerity of the Waver refers to the speed of ocean waves traveling across the water surface. Understanding wave celerity is crucial for designing coastal structures and managing shoreline erosion.ⓘ Celerity of the Wave [C]			+10% -10%
✖Ratio of Group Velocity to Phase Velocity refers to the ratio of group velocity and phase velocity of waves, is crucial for various applications, including wave transformation.ⓘ Ratio of Group Velocity to Phase Velocity [n]			+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 given Wave Celerity [K_s]

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Shoaling Coefficient given Wave Celerity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shoaling Coefficient = sqrt(Deepwater Wave Celerity/(Celerity of the Wave*2*Ratio of Group Velocity to Phase Velocity))
K_s = sqrt(C_o/(C*2*n))
This formula uses 1 Functions, 4 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(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.
Deepwater Wave Celerity - (Measured in Meter per Second) - Deepwater Wave Celerity is the speed at which an individual wave advances or propagates occurring or existing in water of great depth.
Celerity of the Wave - (Measured in Meter per Second) - Celerity of the Waver refers to the speed of ocean waves traveling across the water surface. Understanding wave celerity is crucial for designing coastal structures and managing shoreline erosion.
Ratio of Group Velocity to Phase Velocity - Ratio of Group Velocity to Phase Velocity refers to the ratio of group velocity and phase velocity of waves, is crucial for various applications, including wave transformation.

STEP 1: Convert Input(s) to Base Unit

Deepwater Wave Celerity: 4.5 Meter per Second --> 4.5 Meter per Second No Conversion Required
Celerity of the Wave: 20 Meter per Second --> 20 Meter per Second No Conversion Required
Ratio of Group Velocity to Phase Velocity: 0.25 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K_s = sqrt(C_o/(C*2*n)) --> sqrt(4.5/(20*2*0.25))

Evaluating ... ...

K_s = 0.670820393249937

STEP 3: Convert Result to Output's Unit

0.670820393249937 --> No Conversion Required

FINAL ANSWER

0.670820393249937 ≈ 0.67082 <-- Shoaling Coefficient

(Calculation completed in 00.020 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 given Wave Celerity Formula

LaTeX Go

Shoaling Coefficient = sqrt(Deepwater Wave Celerity/(Celerity of the Wave*2*Ratio of Group Velocity to Phase Velocity))
K_s = sqrt(C_o/(C*2*n))

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 Shoaling Coefficient given Wave Celerity?

Shoaling Coefficient given Wave Celerity calculator uses Shoaling Coefficient = sqrt(Deepwater Wave Celerity/(Celerity of the Wave*2*Ratio of Group Velocity to Phase Velocity)) to calculate the Shoaling Coefficient, The Shoaling Coefficient given Wave Celerity is defined as a dimensionless parameter used in the study of wave dynamics, particularly in shallow water wave theory, calculated using wave celerity. Shoaling Coefficient is denoted by K_s symbol.

How to calculate Shoaling Coefficient given Wave Celerity using this online calculator? To use this online calculator for Shoaling Coefficient given Wave Celerity, enter Deepwater Wave Celerity (C_o), Celerity of the Wave (C) & Ratio of Group Velocity to Phase Velocity (n) and hit the calculate button. Here is how the Shoaling Coefficient given Wave Celerity calculation can be explained with given input values -> 0.948683 = sqrt(4.5/(20*2*0.25)).

FAQ

What is Shoaling Coefficient given Wave Celerity?

The Shoaling Coefficient given Wave Celerity is defined as a dimensionless parameter used in the study of wave dynamics, particularly in shallow water wave theory, calculated using wave celerity and is represented as K_s = sqrt(C_o/(C*2*n)) or Shoaling Coefficient = sqrt(Deepwater Wave Celerity/(Celerity of the Wave*2*Ratio of Group Velocity to Phase Velocity)). Deepwater Wave Celerity is the speed at which an individual wave advances or propagates occurring or existing in water of great depth, Celerity of the Waver refers to the speed of ocean waves traveling across the water surface. Understanding wave celerity is crucial for designing coastal structures and managing shoreline erosion & Ratio of Group Velocity to Phase Velocity refers to the ratio of group velocity and phase velocity of waves, is crucial for various applications, including wave transformation.

How to calculate Shoaling Coefficient given Wave Celerity?

The Shoaling Coefficient given Wave Celerity is defined as a dimensionless parameter used in the study of wave dynamics, particularly in shallow water wave theory, calculated using wave celerity is calculated using Shoaling Coefficient = sqrt(Deepwater Wave Celerity/(Celerity of the Wave*2*Ratio of Group Velocity to Phase Velocity)). To calculate Shoaling Coefficient given Wave Celerity, you need Deepwater Wave Celerity (C_o), Celerity of the Wave (C) & Ratio of Group Velocity to Phase Velocity (n). With our tool, you need to enter the respective value for Deepwater Wave Celerity, Celerity of the Wave & Ratio of Group Velocity to Phase Velocity 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 Deepwater Wave Celerity, Celerity of the Wave & Ratio of Group Velocity to Phase Velocity. 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 = 0.4466*(Deep-Water Wavelength/Water Depth in Ocean)^(1/4)

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