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Shoaling Coefficient Formula

GoShoaling Coefficient given Wave Celerity 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 = {(\tanh (k \cdot d) \cdot (1 + (2 \cdot k \cdot \frac{d}{\sinh (2 \cdot k \cdot d)})))}^{- 0.5}

K_s - Shoaling Coefficient?k - Wave Number for Water Wave?d - Coastal Mean Depth?

Shoaling Coefficient Example

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

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

Here is how the Shoaling Coefficient equation looks like.

0.9512 = {(\tanh (0.2 \cdot 10) \cdot (1 + (2 \cdot 0.2 \cdot \frac{10}{\sinh (2 \cdot 0.2 \cdot 10)})))}^{- 0.5}

0.9512 = {(\tanh (0.2 \cdot 10m) \cdot (1 + (2 \cdot 0.2 \cdot \frac{10m}{\sinh (2 \cdot 0.2 \cdot 10m)})))}^{- 0.5}

0.9512 = {(\tanh (0.2 \cdot 10) \cdot (1 + (2 \cdot 0.2 \cdot \frac{10}{\sinh (2 \cdot 0.2 \cdot 10)})))}^{- 0.5}

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Shoaling Coefficient Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

K s = {(\tanh (0.2 \cdot 10m) \cdot (1 + (2 \cdot 0.2 \cdot \frac{10m}{\sinh (2 \cdot 0.2 \cdot 10m)})))}^{- 0.5}

Next Step Prepare to Evaluate

∴

K s = {(\tanh (0.2 \cdot 10) \cdot (1 + (2 \cdot 0.2 \cdot \frac{10}{\sinh (2 \cdot 0.2 \cdot 10)})))}^{- 0.5}

Next Step Evaluate

∴

K s = 0.951161301745107

LAST Step Rounding Answer

∴

K s = 0.9512

Shoaling Coefficient 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

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.

Symbol: k

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Wave Number for Water Wave

Coastal Mean Depth

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.

Symbol: d

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Coastal Mean Depth

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.

Syntax: 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).

Syntax: tanh(Number)

Other Formulas to find Shoaling Coefficient

Go Shoaling Coefficient given Wave Celerity

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

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?

Shoaling Coefficient evaluator 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 evaluate 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 evaluate Shoaling Coefficient using this online evaluator? To use this online evaluator for Shoaling Coefficient, enter Wave Number for Water Wave (k) & Coastal Mean Depth (d) and hit the calculate button.

FAQs on Shoaling Coefficient

What is the formula to find Shoaling Coefficient?

The formula of Shoaling Coefficient is expressed as 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. Here is an example- 0.951161 = (tanh(0.2*10)*(1+(2*0.2*10/sinh(2*0.2*10))))^-0.5.

How to calculate Shoaling Coefficient?

With Wave Number for Water Wave (k) & Coastal Mean Depth (d) we can find Shoaling Coefficient using the formula - 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. This formula also uses Hyperbolic Sine (sinh), Hyperbolic Tangent (tanh) function(s).

What are the other ways to Calculate Shoaling Coefficient?

Here are the different ways to Calculate Shoaling Coefficient-

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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