Cross-Shore Component of Cross-Shore directed Radiation Stress Calculator

✖Water Density is mass per unit of water.ⓘ Water Density [ρ_water]			+10% -10%
✖Water Depth of the considered catchment is the depth as measured from the water level to the bottom of the considered water body.ⓘ Water Depth [d]			+10% -10%
✖Wave Height of a surface wave is the difference between the elevations of a crest and a neighboring trough.ⓘ Wave Height [H]			+10% -10%

✖Coastal Cross-Shore Component refers to the cumulative movement of beach and nearshore sand perpendicular to the shore by the combined action of tides, wind and waves.ⓘ Cross-Shore Component of Cross-Shore directed Radiation Stress [S_xx']

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Formula

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Cross-Shore Component of Cross-Shore directed Radiation Stress

Formula

`"S"_{"xx'"} = (3/16)*"ρ"_{"water"}*"[g]"*"d"*"H"^2`

Example

`"17376.16"=(3/16)*"1000kg/m³"*"[g]"*"1.05m"*("3m")^2`

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Cross-Shore Component of Cross-Shore directed Radiation Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Coastal Cross-Shore Component = (3/16)*Water Density*[g]*Water Depth*Wave Height^2
S_xx' = (3/16)*ρ_water*[g]*d*H^2
This formula uses 1 Constants, 4 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Variables Used

Coastal Cross-Shore Component - Coastal Cross-Shore Component refers to the cumulative movement of beach and nearshore sand perpendicular to the shore by the combined action of tides, wind and waves.
Water Density - (Measured in Kilogram per Cubic Meter) - Water Density is mass per unit of water.
Water Depth - (Measured in Meter) - Water Depth of the considered catchment is the depth as measured from the water level to the bottom of the considered water body.
Wave Height - (Measured in Meter) - Wave Height of a surface wave is the difference between the elevations of a crest and a neighboring trough.

STEP 1: Convert Input(s) to Base Unit

Water Density: 1000 Kilogram per Cubic Meter --> 1000 Kilogram per Cubic Meter No Conversion Required
Water Depth: 1.05 Meter --> 1.05 Meter No Conversion Required
Wave Height: 3 Meter --> 3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S_xx' = (3/16)*ρ_water*[g]*d*H^2 --> (3/16)*1000*[g]*1.05*3^2

Evaluating ... ...

S_xx' = 17376.15796875

STEP 3: Convert Result to Output's Unit

17376.15796875 --> No Conversion Required

FINAL ANSWER

17376.15796875 ≈ 17376.16 <-- Coastal Cross-Shore Component

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Coastal and Ocean Engineering » Surf Zone Hydrodynamics » Wave Setup » Cross-Shore Component of Cross-Shore directed Radiation Stress

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< 20 Wave Setup Calculators

Wave Height given Mean Water Surface Elevation Set down for Regular Waves

Go Wave Height = sqrt(Mean Water Surface Elevation of Coast*8*sinh(4*pi*Water Depth/Wavelength of Coast)/(2*pi/Wavelength of Coast))

Set down for Regular Waves

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)))

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

Go Breaker Depth Index = sqrt(8/3*((Water Depth at Breaking/(Setup at the Still-Water Shore Line-Set Down at the Breaker Point))-1))

Shoreward Displacement of Shoreline

Go Shoreward Displacement of the Shoreline = Setup at the Still-Water Shore Line/(tan(Beach Slope)-Cross-Shore Balance Momentum)

Wave Height given Cross-Shore Component

Go Wave Height = sqrt((16*Coastal Cross-Shore Component)/(3*Water Density*[g]*Water Depth))

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

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))))

Setdown at Breaker Point at Still-Water Shoreline

Go Set Down at the Breaker Point = Setup at the Still-Water Shore Line-(1/(1+(8/(3*Coastal Breaker Depth Index^2))))*Water Depth at Breaking

Setup at Still-Water Shoreline

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

Setup at Mean Shoreline

Go Setup at the Mean Shoreline = Setup at the Still-Water Shore Line+(Cross-Shore Balance Momentum*Shoreward Displacement of the Shoreline)

Water Depth given Cross Shore Component

Go Water Depth = Coastal Cross-Shore Component/((3/16)*Water Density*[g]*Wave Height^2)

Cross-Shore Component of Cross-Shore directed Radiation Stress

Go Coastal Cross-Shore Component = (3/16)*Water Density*[g]*Water Depth*Wave Height^2

Beach Slope given Nonbreaking Upper Limit of Runup

Go Beach Slope = pi/2*(Wave Runup/Deepwater Wave Height of Ocean*(2*pi)^0.5)^4

Deepwater Wave Height given Nonbreaking Upper Limit of Runup on Uniform Slope

Go Deepwater Wave Height = Wave Runup/((2*pi)^0.5*(pi/2*Beach Slope)^(1/4))

Nonbreaking Upper Limit of Runup on Uniform Slope

Go Wave Runup = Deepwater Wave Height*(2*pi)^0.5*(pi/(2*Beach Slope))^(1/4)

Surf Similarity Parameter given Wave Runup above Mean Water Level

Go Deepwater Surf Similarity Parameter = Wave Runup/Deepwater Wave Height

Deepwater Wave Height given Wave Runup above Mean Water Level

Go Deepwater Wave Height = Wave Runup/Deepwater Surf Similarity Parameter

Wave Runup above Mean Water Level

Go Wave Runup = Deepwater Wave Height*Deepwater Surf Similarity Parameter

Mean Water Surface Elevation given Total Water Depth

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

Still Water Depth given Total Water Depth

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

Total Water Depth

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

Cross-Shore Component of Cross-Shore directed Radiation Stress Formula

Coastal Cross-Shore Component = (3/16)*Water Density*[g]*Water Depth*Wave Height^2
S_xx' = (3/16)*ρ_water*[g]*d*H^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 Cross-Shore Component of Cross-Shore directed Radiation Stress?

Cross-Shore Component of Cross-Shore directed Radiation Stress calculator uses Coastal Cross-Shore Component = (3/16)*Water Density*[g]*Water Depth*Wave Height^2 to calculate the Coastal Cross-Shore Component, The Cross-Shore Component of Cross-Shore directed Radiation Stress formula is defined as the shallow water value influencing the cross-shore directed radiation stress assuming linear theory. Coastal Cross-Shore Component is denoted by S_xx' symbol.

How to calculate Cross-Shore Component of Cross-Shore directed Radiation Stress using this online calculator? To use this online calculator for Cross-Shore Component of Cross-Shore directed Radiation Stress, enter Water Density (ρ_water), Water Depth (d) & Wave Height (H) and hit the calculate button. Here is how the Cross-Shore Component of Cross-Shore directed Radiation Stress calculation can be explained with given input values -> 17376.16 = (3/16)*1000*[g]*1.05*3^2.

FAQ

What is Cross-Shore Component of Cross-Shore directed Radiation Stress?

The Cross-Shore Component of Cross-Shore directed Radiation Stress formula is defined as the shallow water value influencing the cross-shore directed radiation stress assuming linear theory and is represented as S_xx' = (3/16)*ρ_water*[g]*d*H^2 or Coastal Cross-Shore Component = (3/16)*Water Density*[g]*Water Depth*Wave Height^2. Water Density is mass per unit of water, Water Depth of the considered catchment is the depth as measured from the water level to the bottom of the considered water body & Wave Height of a surface wave is the difference between the elevations of a crest and a neighboring trough.

How to calculate Cross-Shore Component of Cross-Shore directed Radiation Stress?

The Cross-Shore Component of Cross-Shore directed Radiation Stress formula is defined as the shallow water value influencing the cross-shore directed radiation stress assuming linear theory is calculated using Coastal Cross-Shore Component = (3/16)*Water Density*[g]*Water Depth*Wave Height^2. To calculate Cross-Shore Component of Cross-Shore directed Radiation Stress, you need Water Density (ρ_water), Water Depth (d) & Wave Height (H). With our tool, you need to enter the respective value for Water Density, Water Depth & Wave Height 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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