Deepwater Surf Similarity Parameter Calculator

✖Slope of Beach of Surf Zone Waves is the beach's angle, generally increasing with sediment grain size and protection from wave energy.ⓘ Slope of Beach of Surf Zone Waves [β]			+10% -10%
✖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.ⓘ Wave Height of Surf Zone Waves [H_o]			+10% -10%
✖Length of Surf Zone Waves extends from the point where the wave starts to break to where it finally dissipates along the shoreline.ⓘ Length of Surf Zone Waves [L_o]			+10% -10%

✖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.ⓘ Deepwater Surf Similarity Parameter [ξ_o]

⎘ Copy

👎

Formula

✖

Deepwater Surf Similarity Parameter

Formula

`"ξ"_{"o"} = tan("β")*("H"_{"o"}/"L"_{"o"})^-0.5`

Example

`"0.408248"=tan("30°")*("6m"/"3.0m")^-0.5`

Calculator

LaTeX

Reset

👍

Download Irregular Waves Formulas PDF

Deepwater Surf Similarity Parameter Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
ξ_o = tan(β)*(H_o/L_o)^-0.5
This formula uses 1 Functions, 4 Variables

Functions Used

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., tan(Angle)

Variables Used

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.
Slope of Beach of Surf Zone Waves - (Measured in Radian) - Slope of Beach of Surf Zone Waves is the beach's angle, generally increasing with sediment grain size and protection from wave energy.
Wave Height of Surf Zone Waves - (Measured in Meter) - 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.
Length of Surf Zone Waves - (Measured in Meter) - Length of Surf Zone Waves extends from the point where the wave starts to break to where it finally dissipates along the shoreline.

STEP 1: Convert Input(s) to Base Unit

Slope of Beach of Surf Zone Waves: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
Wave Height of Surf Zone Waves: 6 Meter --> 6 Meter No Conversion Required
Length of Surf Zone Waves: 3 Meter --> 3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ξ_o = tan(β)*(H_o/L_o)^-0.5 --> tan(0.5235987755982)*(6/3)^-0.5

Evaluating ... ...

ξ_o = 0.408248290463863

STEP 3: Convert Result to Output's Unit

0.408248290463863 --> No Conversion Required

FINAL ANSWER

0.408248290463863 ≈ 0.408248 <-- Surf Zone Waves Similarity Parameter

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Coastal and Ocean Engineering » Surf Zone Hydrodynamics » Surf Zone Waves » Irregular Waves » Deepwater Surf Similarity Parameter

Credits

Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has created this Calculator and 2000+ more calculators!

Verified by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has verified this Calculator and 1700+ more calculators!

< 21 Irregular Waves Calculators

Deepwater Wave Height given Surf Similarity Parameter

Go Wave Height of Surf Zone Waves = Length of Surf Zone Waves*(Surf Zone Waves Similarity Parameter/tan(Slope of Beach of Surf Zone Waves))^(-1/0.5)

Deepwater Wavelength given Surf Similarity Parameter

Go Length of Surf Zone Waves = Wave Height of Surf Zone Waves/(Surf Zone Waves Similarity Parameter/tan(Slope of Beach of Surf Zone Waves))^(-1/0.5)

Deepwater Surf Similarity Parameter

Go 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

Wave Period given Long Wave Simplification for Wavelength

Go Wave Period in Coasts = Wavelength of Coast/sqrt([g]*Wave Height)

Deepwater Surf Similarity Parameter given Runup

Go Deepwater Surf Similarity Parameter = (Runup Exceeded by 2 Percent of the Runup Crests/(Deepwater Wave Height*1.86))^(1/0.71)

Deepwater Wave Height given Runup Exceeded by 2 Percent of Runup Crests

Go Deepwater Wave Height = Runup Exceeded by 2 Percent of the Runup Crests/(1.86*Deepwater Surf Similarity Parameter^0.71)

Deepwater Surf Similarity Parameter given Average of Highest One Tenth of Runups

Go Deepwater Surf Similarity Parameter = (Average of the Highest 1/10 of the Runup/(Deepwater Wave Height*1.7))^(1/0.71)

Runup Exceeded by 2 Percent of Runup Crests

Go Runup Exceeded by 2 Percent of the Runup Crests = Deepwater Wave Height*1.86*Deepwater Surf Similarity Parameter^0.71

Surf Similarity Parameter given Average of Highest One Third of Runups

Go Deepwater Surf Similarity Parameter = (Average of the Highest 1/3 of the Runups/Deepwater Wave Height*1.38)^(1/0.7)

Deepwater Wave Height given Average of Highest One Tenth of Runups

Go Deepwater Wave Height = Average of the Highest 1/10 of the Runup/(1.7*Deepwater Surf Similarity Parameter^0.71)

Deepwater Wave Height given Average of Highest One Third of Runups

Go Deepwater Wave Height = Average of the Highest 1/3 of the Runups/(1.38*Deepwater Surf Similarity Parameter^0.7)

Average of Highest One Tenth of Runups

Go Average of the Highest 1/10 of the Runup = Deepwater Wave Height*1.7*Deepwater Surf Similarity Parameter^0.71

Average of Highest One Third of Runups

Go Average of the Highest 1/3 of the Runups = Deepwater Wave Height*1.38*Deepwater Surf Similarity Parameter^0.7

Deepwater Wave Height given Maximum Runup

Go Deepwater Wave Height of Coast = Wave Runup/(2.32*Deepwater Surf Similarity Parameter^0.77)

Maximum Runup

Go Wave Runup = Deepwater Wave Height of Coast*2.32*Deepwater Surf Similarity Parameter^0.77

Empirically Determined Functions of Beach Slope Parameter b

Go Functions of Beach Slope B = 1.56/(1+e^(-19.5*tan(Slope of Beach of Surf Zone Waves)))

Deepwater Surf Similarity Parameter given Maximum Runup

Go Deepwater Surf Similarity Parameter = (Wave Runup/Deepwater Wave Height*2.32)^(1/0.77)

Deepwater Surf Similarity Parameter given Mean Runup

Go Deepwater Surf Similarity Parameter = (Mean Runup/(0.88*Deepwater Wave Height))^1/0.69

Empirically Determined Functions of Beach Slope Parameter a

Go Functions of Beach Slope A = 43.8*(1-e^(-19*tan(Slope of Beach of Surf Zone Waves)))

Deepwater Wave Height given Mean Runup

Go Deepwater Wave Height = Mean Runup/(0.88*Deepwater Surf Similarity Parameter^0.69)

Mean Runup

Go Mean Runup = Deepwater Wave Height*0.88*Deepwater Surf Similarity Parameter^0.69

Deepwater Surf Similarity Parameter 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
ξ_o = tan(β)*(H_o/L_o)^-0.5

What is Fetch Length?

In Oceanography wind fetch, also known as fetch length or simply fetch, is the length of water over which a given wind has blown without obstruction. Fetch, area of ocean or lake surface over which the wind blows in an essentially constant direction, thus generating waves. The term also is used as a synonym for fetch length, which is the horizontal distance over which wave-generating winds blow.

How to Calculate Deepwater Surf Similarity Parameter?

Deepwater Surf Similarity Parameter calculator 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 calculate 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 calculate Deepwater Surf Similarity Parameter using this online calculator? To use this online calculator 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. Here is how the Deepwater Surf Similarity Parameter calculation can be explained with given input values -> 0.408248 = tan(0.5235987755982)*(6/3)^-0.5.

FAQ

What is Deepwater Surf 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 and is represented as ξ_o = tan(β)*(H_o/L_o)^-0.5 or 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. Slope of Beach of Surf Zone Waves is the beach's angle, generally increasing with sediment grain size and protection from wave energy, 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 & Length of Surf Zone Waves extends from the point where the wave starts to break to where it finally dissipates along the shoreline.

How to calculate Deepwater Surf 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 is calculated using 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 calculate Deepwater Surf Similarity Parameter, you need Slope of Beach of Surf Zone Waves (β), Wave Height of Surf Zone Waves (H_o) & Length of Surf Zone Waves (L_o). With our tool, you need to enter the respective value for Slope of Beach of Surf Zone Waves, Wave Height of Surf Zone Waves & Length of Surf Zone Waves and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search