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"*"Δ"_{"x"})`

Example

`"53.67764"="53.0m"+("0.012"*"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!

Verified by M Naveen

National Institute of Technology (NIT), Warangal

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< 20 Wave Setup Calculators

Wave Height given Mean Water Surface Elevation Set down for Regular Waves

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

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)))

Breaker Depth Index given Set-down at Breaker Point at Still-Water Shoreline

Go Breaker Depth Index = sqrt(8/3*((Water Depth at Breaking/(Setup at the Still-Water Shore Line-Set Down at the Breaker Point))-1))

Shoreward Displacement of Shoreline

Go Shoreward Displacement of the Shoreline = Setup at the Still-Water Shore Line/(tan(Beach Slope)-Cross-Shore Balance Momentum)

Wave Height given Cross-Shore Component

Go Wave Height = sqrt((16*Coastal Cross-Shore Component)/(3*Water Density*[g]*Water Depth))

Water Depth at Breaking given Setdown at Breaker Point at Still-Water Shoreline

Go Water Depth at Breaking = (Setup at the Still-Water Shore Line-Set Down at the Breaker Point)/(1/(1+(8/(3*Coastal Breaker Depth Index^2))))

Setdown at Breaker Point at Still-Water Shoreline

Go Set Down at the Breaker Point = Setup at the Still-Water Shore Line-(1/(1+(8/(3*Coastal Breaker Depth Index^2))))*Water Depth at Breaking

Setup at Still-Water Shoreline

Go Setup at the Still-Water Shore Line = Set Down at the Breaker Point+(1/(1+(8/(3*Coastal Breaker Depth Index^2))))*Water Depth at Breaking

Setup at Mean Shoreline

Go Setup at the Mean Shoreline = Setup at the Still-Water Shore Line+(Cross-Shore Balance Momentum*Shoreward Displacement of the Shoreline)

Water Depth given Cross Shore Component

Go Water Depth = Coastal Cross-Shore Component/((3/16)*Water Density*[g]*Wave Height^2)

Cross-Shore Component of Cross-Shore directed Radiation Stress

Go Coastal Cross-Shore Component = (3/16)*Water Density*[g]*Water Depth*Wave Height^2

Beach Slope given Nonbreaking Upper Limit of Runup

Go Beach Slope = pi/2*(Wave Runup/Deepwater Wave Height of Ocean*(2*pi)^0.5)^4

Deepwater Wave Height given Nonbreaking Upper Limit of Runup on Uniform Slope

Go Deepwater Wave Height = Wave Runup/((2*pi)^0.5*(pi/2*Beach Slope)^(1/4))

Nonbreaking Upper Limit of Runup on Uniform Slope

Go Wave Runup = Deepwater Wave Height*(2*pi)^0.5*(pi/(2*Beach Slope))^(1/4)

Surf Similarity Parameter given Wave Runup above Mean Water Level

Go Deepwater Surf Similarity Parameter = Wave Runup/Deepwater Wave Height

Deepwater Wave Height given Wave Runup above Mean Water Level

Go Deepwater Wave Height = Wave Runup/Deepwater Surf Similarity Parameter

Wave Runup above Mean Water Level

Go Wave Runup = Deepwater Wave Height*Deepwater Surf Similarity Parameter

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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