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Shoaling Coefficient in Shallow Water Formula

GoShoaling Coefficient Formula

GoShoaling Coefficient given Wave Celerity 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 = 0.4466 \cdot {(\frac{λ o}{d w})}^{\frac{1}{4}}

K_s - Shoaling Coefficient?λ_o - Deep-Water Wavelength?d_w - Water Depth in Ocean?

Shoaling Coefficient in Shallow Water Example

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

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

Here is how the Shoaling Coefficient in Shallow Water equation looks like.

0.9134 = 0.4466 \cdot {(\frac{7}{0.4})}^{\frac{1}{4}}

0.9134 = 0.4466 \cdot {(\frac{7m}{0.4m})}^{\frac{1}{4}}

0.9134 = 0.4466 \cdot {(\frac{7}{0.4})}^{\frac{1}{4}}

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Shoaling Coefficient in Shallow Water Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

K s = 0.4466 \cdot {(\frac{7m}{0.4m})}^{\frac{1}{4}}

Next Step Prepare to Evaluate

∴

K s = 0.4466 \cdot {(\frac{7}{0.4})}^{\frac{1}{4}}

Next Step Evaluate

∴

K s = 0.913436225146186

LAST Step Rounding Answer

∴

K s = 0.9134

Shoaling Coefficient in Shallow Water Formula Elements

Variables

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

Deep-Water Wavelength

Deep-Water Wavelength is the horizontal distance between two successive crests (or troughs) of the wave.

Symbol: λ_o

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Deep-Water Wavelength

Water Depth in Ocean

Water Depth in Ocean refers to the vertical distance between the ocean surface and the ocean floor or seabed.

Symbol: d_w

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Water Depth in Ocean

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 given Wave Celerity

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

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 in Shallow Water?

Shoaling Coefficient in Shallow Water evaluator uses Shoaling Coefficient = 0.4466*(Deep-Water Wavelength/Water Depth in Ocean)^(1/4) to evaluate 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 evaluate Shoaling Coefficient in Shallow Water using this online evaluator? To use this online evaluator for Shoaling Coefficient in Shallow Water, enter Deep-Water Wavelength (λ_o) & Water Depth in Ocean (d_w) and hit the calculate button.

FAQs on Shoaling Coefficient in Shallow Water

What is the formula to find Shoaling Coefficient in Shallow Water?

The formula of Shoaling Coefficient in Shallow Water is expressed as Shoaling Coefficient = 0.4466*(Deep-Water Wavelength/Water Depth in Ocean)^(1/4). Here is an example- 0.717622 = 0.4466*(7/0.4)^(1/4).

How to calculate Shoaling Coefficient in Shallow Water?

With Deep-Water Wavelength (λ_o) & Water Depth in Ocean (d_w) we can find Shoaling Coefficient in Shallow Water using the formula - Shoaling Coefficient = 0.4466*(Deep-Water Wavelength/Water Depth in Ocean)^(1/4).

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

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