Setup at Mean Shoreline Calculator

✖Setup at the Still-Water Shore Line is the increase in mean water level due to the presence of breaking waves.ⓘ Setup at the Still-Water Shore Line [η_s]			+10% -10%
✖Cross-Shore Balance Momentum is the equilibrium state of forces acting in the cross-shore direction, which is perpendicular to the shoreline.ⓘ Cross-Shore Balance Momentum [dη'dx]			+10% -10%
✖Shoreward Displacement of the shoreline is the pattern that persists for different water levels influencing Wave-driven dynamics of Shoreward propagation.ⓘ Shoreward Displacement of the Shoreline [Δ_x]			+10% -10%

✖Setup at the Mean Shoreline refers to the elevation of the mean water level at the shoreline due to wave breaking in the surf zone.ⓘ Setup at Mean Shoreline [η'_max]

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Formula

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Setup at Mean Shoreline

Formula

η' max = η s + (dη'dx \cdot Δ x)

Example

53.67764 = 53.0 m + (0.012 \cdot 56.47)

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Setup at Mean Shoreline Solution

STEP 0: Pre-Calculation Summary

Formula Used

Setup at the Mean Shoreline = Setup at the Still-Water Shore Line+(Cross-Shore Balance Momentum*Shoreward Displacement of the Shoreline)
η'_max = η_s+(dη'dx*Δ_x)
This formula uses 4 Variables

Variables Used

Setup at the Mean Shoreline - Setup at the Mean Shoreline refers to the elevation of the mean water level at the shoreline due to wave breaking in the surf zone.
Setup at the Still-Water Shore Line - (Measured in Meter) - Setup at the Still-Water Shore Line is the increase in mean water level due to the presence of breaking waves.
Cross-Shore Balance Momentum - Cross-Shore Balance Momentum is the equilibrium state of forces acting in the cross-shore direction, which is perpendicular to the shoreline.
Shoreward Displacement of the Shoreline - Shoreward Displacement of the shoreline is the pattern that persists for different water levels influencing Wave-driven dynamics of Shoreward propagation.

STEP 1: Convert Input(s) to Base Unit

Setup at the Still-Water Shore Line: 53 Meter --> 53 Meter No Conversion Required
Cross-Shore Balance Momentum: 0.012 --> No Conversion Required
Shoreward Displacement of the Shoreline: 56.47 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

η'_max = η_s+(dη'dx*Δ_x) --> 53+(0.012*56.47)

Evaluating ... ...

η'_max = 53.67764

STEP 3: Convert Result to Output's Unit

53.67764 --> No Conversion Required

FINAL ANSWER

53.67764 <-- Setup at the Mean Shoreline

(Calculation completed in 00.004 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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

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National Institute of Technology (NIT), Warangal

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< Wave Setup Calculators

Set down for Regular Waves

Go Mean Water Surface Elevation of Coast = (-1/8)*((Wave Height^2*(2*pi/Wavelength of Coast))/(sinh(4*pi*Water Depth/Wavelength of Coast)))

Mean Water Surface Elevation given Total Water Depth

Go Mean Water Surface Elevation = Coastal Water Depth-Still-Water Depth

Still Water Depth given Total Water Depth

Go Still-Water Depth = Coastal Water Depth-Mean Water Surface Elevation

Total Water Depth

Go Coastal Water Depth = Still-Water Depth+Mean Water Surface Elevation

Setup at Mean Shoreline Formula

Setup at the Mean Shoreline = Setup at the Still-Water Shore Line+(Cross-Shore Balance Momentum*Shoreward Displacement of the Shoreline)
η'_max = η_s+(dη'dx*Δ_x)

What is Wave Runup & Wave Setup and Setdown?

Wave runup is the maximum vertical extent of wave uprush on a beach or structure above the still water level (SWL). It is the sum of wave set-up and swash uprush (see Swash Zone Dynamics) and must be added to the water level reached as a result of tides and wind set-up.
The wave setup is the increase in mean water level due to the presence of breaking waves. Similarly, wave set down is a wave-induced decrease of the mean water level before the waves break.
The wave setdown is a wave-induced decrease of the mean water level before the waves break (during the shoaling process). For short, the whole phenomenon is often denoted as wave setup, including both increase and decrease of mean elevation.

Define Breaking Wave & cause of Regular Waves.

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.
Waves are most commonly caused by wind. Wind-driven waves, or surface waves, are created by the friction between wind and surface water. As the wind blows across the surface of the ocean or a lake, the continual disturbance creates a wave crest. The gravitational pull of the Sun and Moon on the Earth causes waves.

How to Calculate Setup at Mean Shoreline?

Setup at Mean Shoreline calculator uses Setup at the Mean Shoreline = Setup at the Still-Water Shore Line+(Cross-Shore Balance Momentum*Shoreward Displacement of the Shoreline) to calculate the Setup at the Mean Shoreline, The Setup at Mean Shoreline formula is defined as the increase in mean water level due to the presence of breaking waves similarly, wave set down is a wave-induced decrease of mean water level before waves break. Setup at the Mean Shoreline is denoted by η'_max symbol.

How to calculate Setup at Mean Shoreline using this online calculator? To use this online calculator for Setup at Mean Shoreline, enter Setup at the Still-Water Shore Line (η_s), Cross-Shore Balance Momentum (dη'dx) & Shoreward Displacement of the Shoreline (Δ_x) and hit the calculate button. Here is how the Setup at Mean Shoreline calculation can be explained with given input values -> 53.6 = 53+(0.012*56.47).

FAQ

What is Setup at Mean Shoreline?

The Setup at Mean Shoreline formula is defined as the increase in mean water level due to the presence of breaking waves similarly, wave set down is a wave-induced decrease of mean water level before waves break and is represented as η'_max = η_s+(dη'dx*Δ_x) or Setup at the Mean Shoreline = Setup at the Still-Water Shore Line+(Cross-Shore Balance Momentum*Shoreward Displacement of the Shoreline). Setup at the Still-Water Shore Line is the increase in mean water level due to the presence of breaking waves, Cross-Shore Balance Momentum is the equilibrium state of forces acting in the cross-shore direction, which is perpendicular to the shoreline & Shoreward Displacement of the shoreline is the pattern that persists for different water levels influencing Wave-driven dynamics of Shoreward propagation.

How to calculate Setup at Mean Shoreline?

The Setup at Mean Shoreline formula is defined as the increase in mean water level due to the presence of breaking waves similarly, wave set down is a wave-induced decrease of mean water level before waves break is calculated using Setup at the Mean Shoreline = Setup at the Still-Water Shore Line+(Cross-Shore Balance Momentum*Shoreward Displacement of the Shoreline). To calculate Setup at Mean Shoreline, you need Setup at the Still-Water Shore Line (η_s), Cross-Shore Balance Momentum (dη'dx) & Shoreward Displacement of the Shoreline (Δ_x). With our tool, you need to enter the respective value for Setup at the Still-Water Shore Line, Cross-Shore Balance Momentum & Shoreward Displacement of the Shoreline 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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