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Deepwater Surf Similarity Parameter Formula

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Surf Zone Waves Similarity Parameter compares the wave surface slope to the bed slope in the surf zone and represents important features of the hydrodynamics of the surf zone. Check FAQs

ξ o = \tan (β) \cdot {(\frac{H o}{L o})}^{- 0.5}

ξ_o - Surf Zone Waves Similarity Parameter?β - Slope of Beach of Surf Zone Waves?H_o - Wave Height of Surf Zone Waves?L_o - Length of Surf Zone Waves?

Deepwater Surf Similarity Parameter Example

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Here is how the Deepwater Surf Similarity Parameter equation looks like with Values.

Here is how the Deepwater Surf Similarity Parameter equation looks like with Units.

Here is how the Deepwater Surf Similarity Parameter equation looks like.

0.4082 = \tan (30) \cdot {(\frac{6}{3})}^{- 0.5}

0.4082 = \tan (30°) \cdot {(\frac{6m}{3m})}^{- 0.5}

0.4082 = \tan (30) \cdot {(\frac{6}{3})}^{- 0.5}

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Deepwater Surf Similarity Parameter Solution

Follow our step by step solution on how to calculate Deepwater Surf Similarity Parameter?

FIRST Step Consider the formula

ξ o = \tan (β) \cdot {(\frac{H o}{L o})}^{- 0.5}

Next Step Substitute values of Variables

∴

ξ o = \tan (30°) \cdot {(\frac{6m}{3m})}^{- 0.5}

Next Step Convert Units

∴

ξ o = \tan (0.5236rad) \cdot {(\frac{6m}{3m})}^{- 0.5}

Next Step Prepare to Evaluate

∴

ξ o = \tan (0.5236) \cdot {(\frac{6}{3})}^{- 0.5}

Next Step Evaluate

∴

ξ o = 0.408248290463863

LAST Step Rounding Answer

∴

ξ o = 0.4082

Deepwater Surf Similarity Parameter Formula Elements

Variables

Functions

Surf Zone Waves Similarity Parameter

Surf Zone Waves Similarity Parameter compares the wave surface slope to the bed slope in the surf zone and represents important features of the hydrodynamics of the surf zone.

Symbol: ξ_o

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Surf Zone Waves Similarity Parameter

Slope of Beach of Surf Zone Waves

Slope of Beach of Surf Zone Waves is the beach's angle, generally increasing with sediment grain size and protection from wave energy.

Symbol: β

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Slope of Beach of Surf Zone Waves

Wave Height of Surf Zone Waves

Wave Height of Surf Zone Waves is the actual size of waves that are breaking on the beach within the surf zone which range in height from around 2 to 6 feet, based on the strength of the swell.

Symbol: H_o

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Wave Height of Surf Zone Waves

Length of Surf Zone Waves

Length of Surf Zone Waves extends from the point where the wave starts to break to where it finally dissipates along the shoreline.

Symbol: L_o

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Surf Zone Waves

tan

The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle.

Syntax: tan(Angle)

Other formulas in Irregular Waves category

Go Maximum Runup

R = H d' \cdot 2.32 \cdot {ε 0}^{0.77}

Go Deepwater Wave Height given Maximum Runup

H d' = \frac{R}{2.32 \cdot {ε 0}^{0.77}}

Go Deepwater Surf Similarity Parameter given Maximum Runup

ε 0 = {(\frac{R}{H d} \cdot 2.32)}^{\frac{1}{0.77}}

Go Runup Exceeded by 2 Percent of Runup Crests

R 2% = H d \cdot 1.86 \cdot {ε 0}^{0.71}

How to Evaluate Deepwater Surf Similarity Parameter?

Deepwater Surf Similarity Parameter evaluator uses Surf Zone Waves Similarity Parameter = tan(Slope of Beach of Surf Zone Waves)*(Wave Height of Surf Zone Waves/Length of Surf Zone Waves)^-0.5 to evaluate the Surf Zone Waves Similarity Parameter, The Deepwater Surf Similarity Parameter is defined as a dimensionless parameter used to model several effects of (breaking) surface gravity waves on beaches and coastal structures. Surf Zone Waves Similarity Parameter is denoted by ξ_o symbol.

How to evaluate Deepwater Surf Similarity Parameter using this online evaluator? To use this online evaluator for Deepwater Surf Similarity Parameter, enter Slope of Beach of Surf Zone Waves (β), Wave Height of Surf Zone Waves (H_o) & Length of Surf Zone Waves (L_o) and hit the calculate button.

FAQs on Deepwater Surf Similarity Parameter

What is the formula to find Deepwater Surf Similarity Parameter?

The formula of Deepwater Surf Similarity Parameter is expressed as Surf Zone Waves Similarity Parameter = tan(Slope of Beach of Surf Zone Waves)*(Wave Height of Surf Zone Waves/Length of Surf Zone Waves)^-0.5. Here is an example- 0.408248 = tan(0.5235987755982)*(6/3)^-0.5.

How to calculate Deepwater Surf Similarity Parameter?

With Slope of Beach of Surf Zone Waves (β), Wave Height of Surf Zone Waves (H_o) & Length of Surf Zone Waves (L_o) we can find Deepwater Surf Similarity Parameter using the formula - Surf Zone Waves Similarity Parameter = tan(Slope of Beach of Surf Zone Waves)*(Wave Height of Surf Zone Waves/Length of Surf Zone Waves)^-0.5. This formula also uses Tangent (tan) function(s).

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Deepwater Surf Similarity Parameter Formula

Deepwater Surf Similarity Parameter Example

Deepwater Surf Similarity Parameter Solution

Deepwater Surf Similarity Parameter Formula Elements

Other formulas in Irregular Waves category

How to Evaluate Deepwater Surf Similarity Parameter?

FAQs on Deepwater Surf Similarity Parameter

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