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

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

γ b = \sqrt{\frac{8}{3} \cdot ((\frac{d b}{η s - η b}) - 1)}

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

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

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Here is how the Breaker Depth Index given Set-down at Breaker Point at Still-Water Shoreline equation looks like with Values.

Here is how the Breaker Depth Index given Set-down at Breaker Point at Still-Water Shoreline equation looks like with Units.

Here is how the Breaker Depth Index given Set-down at Breaker Point at Still-Water Shoreline equation looks like.

0.3357 = \sqrt{\frac{8}{3} \cdot ((\frac{55}{53 - 0.23}) - 1)}

0.3357 = \sqrt{\frac{8}{3} \cdot ((\frac{55m}{53m - 0.23m}) - 1)}

0.3357 = \sqrt{\frac{8}{3} \cdot ((\frac{55}{53 - 0.23}) - 1)}

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

Follow our step by step solution on how to calculate Breaker Depth Index given Set-down at Breaker Point at Still-Water Shoreline?

FIRST Step Consider the formula

γ b = \sqrt{\frac{8}{3} \cdot ((\frac{d b}{η s - η b}) - 1)}

Next Step Substitute values of Variables

∴

γ b = \sqrt{\frac{8}{3} \cdot ((\frac{55m}{53m - 0.23m}) - 1)}

Next Step Prepare to Evaluate

∴

γ b = \sqrt{\frac{8}{3} \cdot ((\frac{55}{53 - 0.23}) - 1)}

Next Step Evaluate

∴

γ b = 0.335693746144917

LAST Step Rounding Answer

∴

γ b = 0.3357

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

Variables

Functions

Breaker Depth Index

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

Symbol: γ_b

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find 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

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

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.

Syntax: sqrt(Number)

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

Breaker Depth Index given Set-down at Breaker Point at Still-Water Shoreline evaluator uses Breaker Depth Index = sqrt(8/3*((Water Depth at Breaking/(Setup at the Still-Water Shore Line-Set Down at the Breaker Point))-1)) to evaluate the Breaker Depth Index, The Breaker Depth Index given Set-down at Breaker Point at Still-Water Shoreline formula is defined as the ratio of wave height and still water depth at the shoreface location where waves start breaking. Breaker Depth Index is denoted by γ_b symbol.

How to evaluate Breaker Depth Index given Set-down at Breaker Point at Still-Water Shoreline using this online evaluator? To use this online evaluator for Breaker Depth Index given Set-down at Breaker Point at Still-Water Shoreline, enter Water Depth at Breaking (d_b), Setup at the Still-Water Shore Line (η_s) & Set Down at the Breaker Point (η_b) and hit the calculate button.

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

What is the formula to find Breaker Depth Index given Set-down at Breaker Point at Still-Water Shoreline?

The formula of Breaker Depth Index given Set-down at Breaker Point at Still-Water Shoreline is expressed as Breaker Depth Index = sqrt(8/3*((Water Depth at Breaking/(Setup at the Still-Water Shore Line-Set Down at the Breaker Point))-1)). Here is an example- 0.62361 = sqrt(8/3*((55/(53-0.23))-1)).

How to calculate Breaker Depth Index given Set-down at Breaker Point at Still-Water Shoreline?

With Water Depth at Breaking (d_b), Setup at the Still-Water Shore Line (η_s) & Set Down at the Breaker Point (η_b) we can find Breaker Depth Index given Set-down at Breaker Point at Still-Water Shoreline using the formula - Breaker Depth Index = sqrt(8/3*((Water Depth at Breaking/(Setup at the Still-Water Shore Line-Set Down at the Breaker Point))-1)). This formula also uses Square Root (sqrt) function(s).

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

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

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

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

Other formulas in Wave Setup category

How to Evaluate Breaker Depth Index given Set-down at Breaker Point at Still-Water Shoreline?

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

Variable Name