Setup at Still-Water Shoreline Calculator

✖Set Down at the Breaker Point where wave setdown is a wave-induced decrease of the mean water level before the waves break.ⓘ Set Down at the Breaker Point [η_b]			+10% -10%
✖Coastal Breaker Depth Index is the ratio of the wave height at breaking, to the water depth, at the breakpoint.ⓘ Coastal Breaker Depth Index [Υ_b']			+10% -10%
✖Water Depth at Breaking is the depth of water where ocean surface waves start to break as they approach the shore which depends on the wave climate and is therefore highly variable.ⓘ Water Depth at Breaking [d_b]			+10% -10%

✖Setup at the Still-Water Shore Line is the increase in mean water level due to the presence of breaking waves.ⓘ Setup at Still-Water Shoreline [η_s]

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Formula

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Setup at Still-Water Shoreline

Formula

`"η"_{"s"} = "η"_{"b"}+(1/(1+(8/(3*"Υ"_{"b'"}^2))))*"d"_{"b"}`

Example

`"52.98171m"="0.23m"+(1/(1+(8/(3*("7.91")^2))))*"55m"`

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Setup at Still-Water Shoreline Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
η_s = η_b+(1/(1+(8/(3*Υ_b'^2))))*d_b
This formula uses 4 Variables

Variables Used

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.
Set Down at the Breaker Point - (Measured in Meter) - Set Down at the Breaker Point where wave setdown is a wave-induced decrease of the mean water level before the waves break.
Coastal Breaker Depth Index - Coastal Breaker Depth Index is the ratio of the wave height at breaking, to the water depth, at the breakpoint.
Water Depth at Breaking - (Measured in Meter) - Water Depth at Breaking is the depth of water where ocean surface waves start to break as they approach the shore which depends on the wave climate and is therefore highly variable.

STEP 1: Convert Input(s) to Base Unit

Set Down at the Breaker Point: 0.23 Meter --> 0.23 Meter No Conversion Required
Coastal Breaker Depth Index: 7.91 --> No Conversion Required
Water Depth at Breaking: 55 Meter --> 55 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

η_s = η_b+(1/(1+(8/(3*Υ_b'^2))))*d_b --> 0.23+(1/(1+(8/(3*7.91^2))))*55

Evaluating ... ...

η_s = 52.981710105501

STEP 3: Convert Result to Output's Unit

52.981710105501 Meter --> No Conversion Required

FINAL ANSWER

52.981710105501 ≈ 52.98171 Meter <-- Setup at the Still-Water Shore Line

(Calculation completed in 00.004 seconds)

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Coorg Institute of Technology (CIT), Coorg

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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 Still-Water Shoreline Formula

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
η_s = η_b+(1/(1+(8/(3*Υ_b'^2))))*d_b

What is the Difference Between Coastline and Shoreline?

The term coastline and shoreline are both boundary lines between water and land. The term coastline is generally used to describe the approximate boundaries at relatively large spatial scales. Shoreline is used to describe the precise location of the boundary between land and water.

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 Still-Water Shoreline?

Setup at Still-Water Shoreline calculator uses 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 to calculate the Setup at the Still-Water Shore Line, The Setup at Still-Water Shoreline formula is defined as the increase in mean water level above the still water level due to momentum transfer to the water column by waves that are breaking or otherwise dissipating their energy. Setup at the Still-Water Shore Line is denoted by η_s symbol.

How to calculate Setup at Still-Water Shoreline using this online calculator? To use this online calculator for Setup at Still-Water Shoreline, enter Set Down at the Breaker Point (η_b), Coastal Breaker Depth Index (Υ_b') & Water Depth at Breaking (d_b) and hit the calculate button. Here is how the Setup at Still-Water Shoreline calculation can be explained with given input values -> 52.98171 = 0.23+(1/(1+(8/(3*7.91^2))))*55.

FAQ

What is Setup at Still-Water Shoreline?

The Setup at Still-Water Shoreline formula is defined as the increase in mean water level above the still water level due to momentum transfer to the water column by waves that are breaking or otherwise dissipating their energy and is represented as η_s = η_b+(1/(1+(8/(3*Υ_b'^2))))*d_b or 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. Set Down at the Breaker Point where wave setdown is a wave-induced decrease of the mean water level before the waves break, Coastal Breaker Depth Index is the ratio of the wave height at breaking, to the water depth, at the breakpoint & Water Depth at Breaking is the depth of water where ocean surface waves start to break as they approach the shore which depends on the wave climate and is therefore highly variable.

How to calculate Setup at Still-Water Shoreline?

The Setup at Still-Water Shoreline formula is defined as the increase in mean water level above the still water level due to momentum transfer to the water column by waves that are breaking or otherwise dissipating their energy is calculated using 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. To calculate Setup at Still-Water Shoreline, you need Set Down at the Breaker Point (η_b), Coastal Breaker Depth Index (Υ_b') & Water Depth at Breaking (d_b). With our tool, you need to enter the respective value for Set Down at the Breaker Point, Coastal Breaker Depth Index & Water Depth at Breaking 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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