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
ηs = ηb+(1/(1+(8/(3*Υb'^2))))*db
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
ηs = ηb+(1/(1+(8/(3*Υb'^2))))*db --> 0.23+(1/(1+(8/(3*7.91^2))))*55
Evaluating ... ...
ηs = 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)

Credits

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Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
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National Institute of Technology (NIT), Warangal
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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

Setup at Still-Water Shoreline Formula

​LaTeX ​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
ηs = ηb+(1/(1+(8/(3*Υb'^2))))*db

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 ηs 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 b), Coastal Breaker Depth Index b') & Water Depth at Breaking (db) 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 ηs = ηb+(1/(1+(8/(3*Υb'^2))))*db 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 b), Coastal Breaker Depth Index b') & Water Depth at Breaking (db). 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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