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Setup at Still-Water Shoreline Formula

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Setup at the Still-Water Shore Line is the increase in mean water level due to the presence of breaking waves. Check FAQs

η s = η b + (\frac{1}{1 + (\frac{8}{3 \cdot {Υ b'}^{2}})}) \cdot d b

η_s - Setup at the Still-Water Shore Line?η_b - Set Down at the Breaker Point?Υ_b' - Coastal Breaker Depth Index?d_b - Water Depth at Breaking?

Setup at Still-Water Shoreline Example

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Here is how the Setup at Still-Water Shoreline equation looks like with Values.

Here is how the Setup at Still-Water Shoreline equation looks like with Units.

Here is how the Setup at Still-Water Shoreline equation looks like.

52.9817 = 0.23 + (\frac{1}{1 + (\frac{8}{3 \cdot {7.91}^{2}})}) \cdot 55

52.9817m = 0.23m + (\frac{1}{1 + (\frac{8}{3 \cdot {7.91}^{2}})}) \cdot 55m

52.9817 = 0.23 + (\frac{1}{1 + (\frac{8}{3 \cdot {7.91}^{2}})}) \cdot 55

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Setup at Still-Water Shoreline Solution

Follow our step by step solution on how to calculate Setup at Still-Water Shoreline?

FIRST Step Consider the formula

η s = η b + (\frac{1}{1 + (\frac{8}{3 \cdot {Υ b'}^{2}})}) \cdot d b

Next Step Substitute values of Variables

∴

η s = 0.23m + (\frac{1}{1 + (\frac{8}{3 \cdot {7.91}^{2}})}) \cdot 55m

Next Step Prepare to Evaluate

∴

η s = 0.23 + (\frac{1}{1 + (\frac{8}{3 \cdot {7.91}^{2}})}) \cdot 55

Next Step Evaluate

∴

η s = 52.981710105501m

LAST Step Rounding Answer

∴

η s = 52.9817m

Setup at Still-Water Shoreline Formula Elements

Variables

Setup at the Still-Water Shore Line

Setup at the Still-Water Shore Line is the increase in mean water level due to the presence of breaking waves.

Symbol: η_s

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Setup at the Still-Water Shore Line

Set Down at the Breaker Point

Set Down at the Breaker Point where wave setdown is a wave-induced decrease of the mean water level before the waves break.

Symbol: η_b

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Set Down at the Breaker Point

Coastal Breaker Depth Index

Coastal Breaker Depth Index is the ratio of the wave height at breaking, to the water depth, at the breakpoint.

Symbol: Υ_b'

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Coastal Breaker Depth Index

Water Depth at Breaking

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.

Symbol: d_b

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Water Depth at Breaking

Other formulas in Wave Setup category

Go Total Water Depth

H c = h + η'

Go Still Water Depth given Total Water Depth

h = H c - η'

Go Mean Water Surface Elevation given Total Water Depth

η' = H c - h

Go Set down for Regular Waves

η' o = (- \frac{1}{8}) \cdot (\frac{H^{2} \cdot (2 \cdot \frac{π}{λ})}{\sinh (4 \cdot π \cdot \frac{d}{λ})})

How to Evaluate Setup at Still-Water Shoreline?

Setup at Still-Water Shoreline evaluator 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 evaluate 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 evaluate Setup at Still-Water Shoreline using this online evaluator? To use this online evaluator 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.

FAQs on Setup at Still-Water Shoreline

What is the formula to find Setup at Still-Water Shoreline?

The formula of Setup at Still-Water Shoreline is expressed as 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. Here is an example- 52.98171 = 0.23+(1/(1+(8/(3*7.91^2))))*55.

How to calculate Setup at Still-Water Shoreline?

With Set Down at the Breaker Point (η_b), Coastal Breaker Depth Index (Υ_b') & Water Depth at Breaking (d_b) we can find Setup at Still-Water Shoreline using the 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.

Can the Setup at Still-Water Shoreline be negative?

No, the Setup at Still-Water Shoreline, measured in Length cannot be negative.

Which unit is used to measure Setup at Still-Water Shoreline?

Setup at Still-Water Shoreline is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Setup at Still-Water Shoreline can be measured.

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Setup at Still-Water Shoreline Formula

Setup at Still-Water Shoreline Example

Setup at Still-Water Shoreline Solution

Setup at Still-Water Shoreline Formula Elements

Other formulas in Wave Setup category

How to Evaluate Setup at Still-Water Shoreline?

FAQs on Setup at Still-Water Shoreline

Variable Name