Deepwater Wavelength given Surf Similarity Parameter Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
Lo = Ho/(ξo/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
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.
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.
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
Wave Height of Surf Zone Waves: 6 Meter --> 6 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
Lo = Ho/(ξo/tan(β))^(-1/0.5) --> 6/(0.408/tan(0.5235987755982))^(-1/0.5)
Evaluating ... ...
Lo = 2.996352
STEP 3: Convert Result to Output's Unit
2.996352 Meter --> No Conversion Required
FINAL ANSWER
2.996352 Meter <-- Length of Surf Zone Waves
(Calculation completed in 00.004 seconds)

Credits

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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

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Deepwater Wave Height given Maximum Runup
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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 Wavelength given Surf Similarity Parameter Formula

​LaTeX ​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)
Lo = Ho/(ξo/tan(β))^(-1/0.5)

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 Wavelength given Surf Similarity Parameter?

Deepwater Wavelength given Surf Similarity Parameter calculator uses 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) to calculate the Length of Surf Zone Waves, The Deepwater Wavelength given Surf Similarity Parameter formula is defined as the distance between corresponding points of two consecutive waves. “Corresponding points” refers to two points or particles in same phase i.e., points that have completed identical fractions of their periodic motion. Length of Surf Zone Waves is denoted by Lo symbol.

How to calculate Deepwater Wavelength given Surf Similarity Parameter using this online calculator? To use this online calculator for Deepwater Wavelength given Surf Similarity Parameter, enter Wave Height of Surf Zone Waves (Ho), Surf Zone Waves Similarity Parameter o) & Slope of Beach of Surf Zone Waves (β) and hit the calculate button. Here is how the Deepwater Wavelength given Surf Similarity Parameter calculation can be explained with given input values -> 2.996352 = 6/(0.408/tan(0.5235987755982))^(-1/0.5).

FAQ

What is Deepwater Wavelength given Surf Similarity Parameter?
The Deepwater Wavelength given Surf Similarity Parameter formula is defined as the distance between corresponding points of two consecutive waves. “Corresponding points” refers to two points or particles in same phase i.e., points that have completed identical fractions of their periodic motion and is represented as Lo = Ho/(ξo/tan(β))^(-1/0.5) or 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). 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, 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 Wavelength given Surf Similarity Parameter?
The Deepwater Wavelength given Surf Similarity Parameter formula is defined as the distance between corresponding points of two consecutive waves. “Corresponding points” refers to two points or particles in same phase i.e., points that have completed identical fractions of their periodic motion is calculated using 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). To calculate Deepwater Wavelength given Surf Similarity Parameter, you need Wave Height of Surf Zone Waves (Ho), Surf Zone Waves Similarity Parameter o) & Slope of Beach of Surf Zone Waves (β). With our tool, you need to enter the respective value for Wave Height 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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