Water Depth at Breaking given Setdown at Breaker Point at Still-Water 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%
✖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 given Setdown at Breaker Point at Still-Water Shoreline [d_b]

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Setup at the Still-Water Shore Line: 53 Meter --> 53 Meter No Conversion Required
Set Down at the Breaker Point: 0.23 Meter --> 0.23 Meter No Conversion Required
Coastal Breaker Depth Index: 7.91 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_b = (η_s-η_b)/(1/(1+(8/(3*Υ_b'^2)))) --> (53-0.23)/(1/(1+(8/(3*7.91^2))))

Evaluating ... ...

d_b = 55.0190694139665

STEP 3: Convert Result to Output's Unit

55.0190694139665 Meter --> No Conversion Required

FINAL ANSWER

55.0190694139665 ≈ 55.01907 Meter <-- Water Depth at Breaking

(Calculation completed in 00.020 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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< Wave Setup Calculators

Set down for Regular Waves

LaTeX 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

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

Still Water Depth given Total Water Depth

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

Total Water Depth

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

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

LaTeX 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))))
d_b = (η_s-η_b)/(1/(1+(8/(3*Υ_b'^2))))

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

Water Depth at Breaking given Setdown at Breaker Point at Still-Water Shoreline calculator uses 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)))) to calculate the Water Depth at Breaking, The Water Depth at Breaking given Setdown at Breaker Point at Still-Water Shoreline formula is defined as a measure of the total depth of datum concerning reference datum, influencing a wave-induced decrease of the mean water level before the waves break. Water Depth at Breaking is denoted by d_b symbol.

How to calculate Water Depth at Breaking given Setdown at Breaker Point at Still-Water Shoreline using this online calculator? To use this online calculator for Water Depth at Breaking given Setdown at Breaker Point at Still-Water Shoreline, enter Setup at the Still-Water Shore Line (η_s), Set Down at the Breaker Point (η_b) & Coastal Breaker Depth Index (Υ_b') and hit the calculate button. Here is how the Water Depth at Breaking given Setdown at Breaker Point at Still-Water Shoreline calculation can be explained with given input values -> 55.01907 = (53-0.23)/(1/(1+(8/(3*7.91^2)))).

FAQ

What is Water Depth at Breaking given Setdown at Breaker Point at Still-Water Shoreline?

The Water Depth at Breaking given Setdown at Breaker Point at Still-Water Shoreline formula is defined as a measure of the total depth of datum concerning reference datum, influencing a wave-induced decrease of the mean water level before the waves break and is represented as d_b = (η_s-η_b)/(1/(1+(8/(3*Υ_b'^2)))) or 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)))). 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 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.

How to calculate Water Depth at Breaking given Setdown at Breaker Point at Still-Water Shoreline?

The Water Depth at Breaking given Setdown at Breaker Point at Still-Water Shoreline formula is defined as a measure of the total depth of datum concerning reference datum, influencing a wave-induced decrease of the mean water level before the waves break is calculated using 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)))). To calculate Water Depth at Breaking given Setdown at Breaker Point at Still-Water Shoreline, you need Setup at the Still-Water Shore Line (η_s), Set Down at the Breaker Point (η_b) & Coastal Breaker Depth Index (Υ_b'). With our tool, you need to enter the respective value for Setup at the Still-Water Shore Line, Set Down at the Breaker Point & Coastal Breaker Depth Index 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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