Deepwater Wave Height given Surf Similarity Parameter Calculator

✖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.ⓘ Surf Zone Waves Similarity Parameter [ξ_o]			+10% -10%
✖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.ⓘ Deepwater Wave Height given Surf Similarity Parameter [H_o]

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Deepwater Wave Height given Surf Similarity Parameter Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
H_o = L_o*(ξ_o/tan(β))^(-1/0.5)
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

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.
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.

STEP 1: Convert Input(s) to Base Unit

Length of Surf Zone Waves: 3 Meter --> 3 Meter No Conversion Required
Surf Zone Waves Similarity Parameter: 0.408 --> No Conversion Required
Slope of Beach of Surf Zone Waves: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H_o = L_o*(ξ_o/tan(β))^(-1/0.5) --> 3*(0.408/tan(0.5235987755982))^(-1/0.5)

Evaluating ... ...

H_o = 6.00730488273741

STEP 3: Convert Result to Output's Unit

6.00730488273741 Meter --> No Conversion Required

FINAL ANSWER

6.00730488273741 ≈ 6.007305 Meter <-- Wave Height of Surf Zone Waves

(Calculation completed in 00.007 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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NSS College of Engineering (NSSCE), Palakkad

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< Irregular Waves Calculators

Runup Exceeded by 2 Percent of Runup Crests

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

Deepwater Wave Height given Maximum Runup

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

Maximum Runup

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

Deepwater Surf Similarity Parameter given Maximum Runup

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

Deepwater Wave Height given Surf Similarity Parameter Formula

LaTeX 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)
H_o = L_o*(ξ_o/tan(β))^(-1/0.5)

What Affects Beach Profile?

Constructive waves alter beach morphology by causing net movement of sediment up the beach, steeping the beach profile. Swash carries sediment of all sizes up the beach, but weaker backwash can only transport smaller particles down the beach.

What is Beach Slope?

Beach slope in the tailings industry refers to the surface slope of the tailings after being hydraulically or mechanical deposited from a point of discharge. This is the slope the tailings settle at after being discharged from the end of a pipe.

How to Calculate Deepwater Wave Height given Surf Similarity Parameter?

Deepwater Wave Height given Surf Similarity Parameter calculator uses 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) to calculate the Wave Height of Surf Zone Waves, The Deepwater Wave Height given Surf Similarity Parameter formula is defined as the difference between elevations of a crest and neighbouring trough given the dimensionless parameter used in coastal engineering to model several effects of (breaking) surface gravity waves on beaches and coastal structures. Wave Height of Surf Zone Waves is denoted by H_o symbol.

How to calculate Deepwater Wave Height given Surf Similarity Parameter using this online calculator? To use this online calculator for Deepwater Wave Height given Surf Similarity Parameter, enter Length of Surf Zone Waves (L_o), Surf Zone Waves Similarity Parameter (ξ_o) & Slope of Beach of Surf Zone Waves (β) and hit the calculate button. Here is how the Deepwater Wave Height given Surf Similarity Parameter calculation can be explained with given input values -> 6.007305 = 3*(0.408/tan(0.5235987755982))^(-1/0.5).

FAQ

What is Deepwater Wave Height given Surf Similarity Parameter?

The Deepwater Wave Height given Surf Similarity Parameter formula is defined as the difference between elevations of a crest and neighbouring trough given the dimensionless parameter used in coastal engineering to model several effects of (breaking) surface gravity waves on beaches and coastal structures and is represented as H_o = L_o*(ξ_o/tan(β))^(-1/0.5) or 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). Length of Surf Zone Waves extends from the point where the wave starts to break to where it finally dissipates along the shoreline, 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 is the beach's angle, generally increasing with sediment grain size and protection from wave energy.

How to calculate Deepwater Wave Height given Surf Similarity Parameter?

The Deepwater Wave Height given Surf Similarity Parameter formula is defined as the difference between elevations of a crest and neighbouring trough given the dimensionless parameter used in coastal engineering to model several effects of (breaking) surface gravity waves on beaches and coastal structures is calculated using 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). To calculate Deepwater Wave Height given Surf Similarity Parameter, you need Length of Surf Zone Waves (L_o), Surf Zone Waves Similarity Parameter (ξ_o) & Slope of Beach of Surf Zone Waves (β). With our tool, you need to enter the respective value for Length of Surf Zone Waves, Surf Zone Waves Similarity Parameter & Slope of Beach 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.

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