Shoreward Displacement of 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%
✖Beach Slope is the slope of the foreshore or beach face, a dynamic feature that changes with changes in wave conditions as well as the gain or loss of different sediment sizes on the beach face.ⓘ Beach Slope [β]			+10% -10%
✖Cross-Shore Balance Momentum is the equilibrium state of forces acting in the cross-shore direction, which is perpendicular to the shoreline.ⓘ Cross-Shore Balance Momentum [dη'dx]			+10% -10%

✖Shoreward Displacement of the shoreline is the pattern that persists for different water levels influencing Wave-driven dynamics of Shoreward propagation.ⓘ Shoreward Displacement of Shoreline [Δ_x]

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Shoreward Displacement of Shoreline Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shoreward Displacement of the Shoreline = Setup at the Still-Water Shore Line/(tan(Beach Slope)-Cross-Shore Balance Momentum)
Δ_x = η_s/(tan(β)-dη'dx)
This formula uses 1 Functions, 4 Variables

Functions Used

tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)

Variables Used

Shoreward Displacement of the Shoreline - Shoreward Displacement of the shoreline is the pattern that persists for different water levels influencing Wave-driven dynamics of Shoreward propagation.
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.
Beach Slope - Beach Slope is the slope of the foreshore or beach face, a dynamic feature that changes with changes in wave conditions as well as the gain or loss of different sediment sizes on the beach face.
Cross-Shore Balance Momentum - Cross-Shore Balance Momentum is the equilibrium state of forces acting in the cross-shore direction, which is perpendicular to the shoreline.

STEP 1: Convert Input(s) to Base Unit

Setup at the Still-Water Shore Line: 53 Meter --> 53 Meter No Conversion Required
Beach Slope: 0.76 --> No Conversion Required
Cross-Shore Balance Momentum: 0.012 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Δ_x = η_s/(tan(β)-dη'dx) --> 53/(tan(0.76)-0.012)

Evaluating ... ...

Δ_x = 56.47601631481

STEP 3: Convert Result to Output's Unit

56.47601631481 --> No Conversion Required

FINAL ANSWER

56.47601631481 ≈ 56.47602 <-- Shoreward Displacement of the Shoreline

(Calculation completed in 00.020 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has created this Calculator and 2000+ more calculators!

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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

Shoreward Displacement of Shoreline Formula

LaTeX Go

Shoreward Displacement of the Shoreline = Setup at the Still-Water Shore Line/(tan(Beach Slope)-Cross-Shore Balance Momentum)
Δ_x = η_s/(tan(β)-dη'dx)

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 Shoreward Displacement of Shoreline?

Shoreward Displacement of Shoreline calculator uses Shoreward Displacement of the Shoreline = Setup at the Still-Water Shore Line/(tan(Beach Slope)-Cross-Shore Balance Momentum) to calculate the Shoreward Displacement of the Shoreline, The Shoreward Displacement of Shoreline formula is defined as the pattern persisting for different water levels influencing wave-driven dynamics of shoreward propagation. Shoreward Displacement of the Shoreline is denoted by Δ_x symbol.

How to calculate Shoreward Displacement of Shoreline using this online calculator? To use this online calculator for Shoreward Displacement of Shoreline, enter Setup at the Still-Water Shore Line (η_s), Beach Slope (β) & Cross-Shore Balance Momentum (dη'dx) and hit the calculate button. Here is how the Shoreward Displacement of Shoreline calculation can be explained with given input values -> 56.47602 = 53/(tan(0.76)-0.012).

FAQ

What is Shoreward Displacement of Shoreline?

The Shoreward Displacement of Shoreline formula is defined as the pattern persisting for different water levels influencing wave-driven dynamics of shoreward propagation and is represented as Δ_x = η_s/(tan(β)-dη'dx) or Shoreward Displacement of the Shoreline = Setup at the Still-Water Shore Line/(tan(Beach Slope)-Cross-Shore Balance Momentum). Setup at the Still-Water Shore Line is the increase in mean water level due to the presence of breaking waves, Beach Slope is the slope of the foreshore or beach face, a dynamic feature that changes with changes in wave conditions as well as the gain or loss of different sediment sizes on the beach face & Cross-Shore Balance Momentum is the equilibrium state of forces acting in the cross-shore direction, which is perpendicular to the shoreline.

How to calculate Shoreward Displacement of Shoreline?

The Shoreward Displacement of Shoreline formula is defined as the pattern persisting for different water levels influencing wave-driven dynamics of shoreward propagation is calculated using Shoreward Displacement of the Shoreline = Setup at the Still-Water Shore Line/(tan(Beach Slope)-Cross-Shore Balance Momentum). To calculate Shoreward Displacement of Shoreline, you need Setup at the Still-Water Shore Line (η_s), Beach Slope (β) & Cross-Shore Balance Momentum (dη'dx). With our tool, you need to enter the respective value for Setup at the Still-Water Shore Line, Beach Slope & Cross-Shore Balance Momentum 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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