Beach Slope given Breaking Wave and Wave Height at Breaking Point Calculator

✖Breaking Wave or breaker is a wave whose amplitude reaches a critical level at which some process can suddenly start to occur.ⓘ Breaking Wave [ξ]			+10% -10%
✖The Wave Height for Surface Gravity Waves refers to the vertical distance between the trough (bottom) and crest (top) of a wave, measured from sea level.ⓘ Wave Height for Surface Gravity Waves [H_w]			+10% -10%
✖Deep-Water Wavelength is the horizontal distance between two successive crests (or troughs) of the wave.ⓘ Deep-Water Wavelength [λ_o]			+10% -10%

✖Beach Slope refers to the incline or gradient of the shoreline, determining the rate at which the beach elevation changes horizontally with distance from the water.ⓘ Beach Slope given Breaking Wave and Wave Height at Breaking Point [β]

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Beach Slope given Breaking Wave and Wave Height at Breaking Point Solution

STEP 0: Pre-Calculation Summary

Formula Used

Beach Slope = Breaking Wave*sqrt(Wave Height for Surface Gravity Waves/Deep-Water Wavelength)
β = ξ*sqrt(H_w/λ_o)
This formula uses 1 Functions, 4 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Beach Slope - (Measured in Radian) - Beach Slope refers to the incline or gradient of the shoreline, determining the rate at which the beach elevation changes horizontally with distance from the water.
Breaking Wave - Breaking Wave or breaker is a wave whose amplitude reaches a critical level at which some process can suddenly start to occur.
Wave Height for Surface Gravity Waves - (Measured in Meter) - The Wave Height for Surface Gravity Waves refers to the vertical distance between the trough (bottom) and crest (top) of a wave, measured from sea level.
Deep-Water Wavelength - (Measured in Meter) - Deep-Water Wavelength is the horizontal distance between two successive crests (or troughs) of the wave.

STEP 1: Convert Input(s) to Base Unit

Breaking Wave: 0.229 --> No Conversion Required
Wave Height for Surface Gravity Waves: 3 Meter --> 3 Meter No Conversion Required
Deep-Water Wavelength: 7 Meter --> 7 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

β = ξ*sqrt(H_w/λ_o) --> 0.229*sqrt(3/7)

Evaluating ... ...

β = 0.149915690592127

STEP 3: Convert Result to Output's Unit

0.149915690592127 Radian --> No Conversion Required

FINAL ANSWER

0.149915690592127 ≈ 0.149916 Radian <-- Beach Slope

(Calculation completed in 00.020 seconds)

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Coorg Institute of Technology (CIT), Coorg

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< Shoaling, Refraction and Breaking Calculators

Shoaling Coefficient

LaTeX Go 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

Deepwater Wave Height for Shoaling Coefficient and Refraction Coefficient

LaTeX Go Wave Height in Deepwater = Wave Height for Surface Gravity Waves/(Shoaling Coefficient*Refraction Coefficient)

Refraction Coefficient

LaTeX Go Refraction Coefficient = sqrt(Distance Between Two Rays at Deepwater/Distance Between Two Rays)

Distance between Two Rays at General Point

LaTeX Go Distance Between Two Rays = Distance Between Two Rays at Deepwater/Refraction Coefficient^2

Beach Slope given Breaking Wave and Wave Height at Breaking Point Formula

LaTeX Go

Beach Slope = Breaking Wave*sqrt(Wave Height for Surface Gravity Waves/Deep-Water Wavelength)
β = ξ*sqrt(H_w/λ_o)

What is Breaking Wave?

In fluid dynamics, a breaking wave or breaker is a wave whose amplitude reaches a critical level at which some process can suddenly start to occur causing large amounts of wave energy to be transformed into turbulent kinetic energy.

How to Calculate Beach Slope given Breaking Wave and Wave Height at Breaking Point?

Beach Slope given Breaking Wave and Wave Height at Breaking Point calculator uses Beach Slope = Breaking Wave*sqrt(Wave Height for Surface Gravity Waves/Deep-Water Wavelength) to calculate the Beach Slope, The Beach Slope given Breaking Wave and Wave Height at Breaking Point is defined as an angle of beach gradient is h/l or tan(slope) beaches typically have steep gradient (over 10˚) because waves easily flow through coarse, porous surface of beach. Beach Slope is denoted by β symbol.

How to calculate Beach Slope given Breaking Wave and Wave Height at Breaking Point using this online calculator? To use this online calculator for Beach Slope given Breaking Wave and Wave Height at Breaking Point, enter Breaking Wave (ξ), Wave Height for Surface Gravity Waves (H_w) & Deep-Water Wavelength (λ_o) and hit the calculate button. Here is how the Beach Slope given Breaking Wave and Wave Height at Breaking Point calculation can be explained with given input values -> 0.130931 = 0.229*sqrt(3/7).

FAQ

What is Beach Slope given Breaking Wave and Wave Height at Breaking Point?

The Beach Slope given Breaking Wave and Wave Height at Breaking Point is defined as an angle of beach gradient is h/l or tan(slope) beaches typically have steep gradient (over 10˚) because waves easily flow through coarse, porous surface of beach and is represented as β = ξ*sqrt(H_w/λ_o) or Beach Slope = Breaking Wave*sqrt(Wave Height for Surface Gravity Waves/Deep-Water Wavelength). Breaking Wave or breaker is a wave whose amplitude reaches a critical level at which some process can suddenly start to occur, The Wave Height for Surface Gravity Waves refers to the vertical distance between the trough (bottom) and crest (top) of a wave, measured from sea level & Deep-Water Wavelength is the horizontal distance between two successive crests (or troughs) of the wave.

How to calculate Beach Slope given Breaking Wave and Wave Height at Breaking Point?

The Beach Slope given Breaking Wave and Wave Height at Breaking Point is defined as an angle of beach gradient is h/l or tan(slope) beaches typically have steep gradient (over 10˚) because waves easily flow through coarse, porous surface of beach is calculated using Beach Slope = Breaking Wave*sqrt(Wave Height for Surface Gravity Waves/Deep-Water Wavelength). To calculate Beach Slope given Breaking Wave and Wave Height at Breaking Point, you need Breaking Wave (ξ), Wave Height for Surface Gravity Waves (H_w) & Deep-Water Wavelength (λ_o). With our tool, you need to enter the respective value for Breaking Wave, Wave Height for Surface Gravity Waves & Deep-Water Wavelength 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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