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Shoaling Coefficient given Wave Celerity Formula

GoShoaling Coefficient Formula

GoShoaling Coefficient in Shallow Water Formula

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

K s = \sqrt{\frac{C o}{C \cdot 2 \cdot n}}

K_s - Shoaling Coefficient?C_o - Deepwater Wave Celerity?C - Celerity of the Wave?n - Ratio of Group Velocity to Phase Velocity?

Shoaling Coefficient given Wave Celerity Example

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Here is how the Shoaling Coefficient given Wave Celerity equation looks like with Values.

Here is how the Shoaling Coefficient given Wave Celerity equation looks like with Units.

Here is how the Shoaling Coefficient given Wave Celerity equation looks like.

0.6708 = \sqrt{\frac{4.5}{20 \cdot 2 \cdot 0.25}}

0.6708 = \sqrt{\frac{4.5m/s}{20m/s \cdot 2 \cdot 0.25}}

0.6708 = \sqrt{\frac{4.5}{20 \cdot 2 \cdot 0.25}}

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Shoaling Coefficient given Wave Celerity Solution

Follow our step by step solution on how to calculate Shoaling Coefficient given Wave Celerity?

FIRST Step Consider the formula

K s = \sqrt{\frac{C o}{C \cdot 2 \cdot n}}

Next Step Substitute values of Variables

∴

K s = \sqrt{\frac{4.5m/s}{20m/s \cdot 2 \cdot 0.25}}

Next Step Prepare to Evaluate

∴

K s = \sqrt{\frac{4.5}{20 \cdot 2 \cdot 0.25}}

Next Step Evaluate

∴

K s = 0.670820393249937

LAST Step Rounding Answer

∴

K s = 0.6708

Shoaling Coefficient given Wave Celerity Formula Elements

Variables

Functions

Shoaling Coefficient

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

Symbol: K_s

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Shoaling Coefficient

Deepwater Wave Celerity

Deepwater Wave Celerity is the speed at which an individual wave advances or propagates occurring or existing in water of great depth.

Symbol: C_o

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Deepwater Wave Celerity

Celerity of the Wave

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.

Symbol: C

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Celerity of the Wave

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.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Ratio of Group Velocity to Phase Velocity

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.

Syntax: sqrt(Number)

Other Formulas to find Shoaling Coefficient

Go Shoaling Coefficient

K s = {(\tanh (k \cdot d) \cdot (1 + (2 \cdot k \cdot \frac{d}{\sinh (2 \cdot k \cdot d)})))}^{- 0.5}

Go Shoaling Coefficient in Shallow Water

K s = 0.4466 \cdot {(\frac{λ o}{d w})}^{\frac{1}{4}}

Other formulas in Shoaling, Refraction and Breaking category

Go Refraction Coefficient

K r = \sqrt{\frac{b 0}{b}}

Go Distance between Two Rays at General Point

b = \frac{b 0}{{K r}^{2}}

Go Deepwater Wave Height for Shoaling Coefficient and Refraction Coefficient

H o = \frac{H w}{K s \cdot K r}

Go Wave Height given Shoaling Coefficient and Refraction Coefficient

H w = H o \cdot K s \cdot K r

How to Evaluate Shoaling Coefficient given Wave Celerity?

Shoaling Coefficient given Wave Celerity evaluator uses Shoaling Coefficient = sqrt(Deepwater Wave Celerity/(Celerity of the Wave*2*Ratio of Group Velocity to Phase Velocity)) to evaluate 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 evaluate Shoaling Coefficient given Wave Celerity using this online evaluator? To use this online evaluator 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.

FAQs on Shoaling Coefficient given Wave Celerity

What is the formula to find Shoaling Coefficient given Wave Celerity?

The formula of Shoaling Coefficient given Wave Celerity is expressed as Shoaling Coefficient = sqrt(Deepwater Wave Celerity/(Celerity of the Wave*2*Ratio of Group Velocity to Phase Velocity)). Here is an example- 0.948683 = sqrt(4.5/(20*2*0.25)).

How to calculate Shoaling Coefficient given Wave Celerity?

With Deepwater Wave Celerity (C_o), Celerity of the Wave (C) & Ratio of Group Velocity to Phase Velocity (n) we can find Shoaling Coefficient given Wave Celerity using the formula - Shoaling Coefficient = sqrt(Deepwater Wave Celerity/(Celerity of the Wave*2*Ratio of Group Velocity to Phase Velocity)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Shoaling Coefficient?

Here are the different ways to Calculate Shoaling Coefficient-

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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