Water Depth given Cross Shore Component Calculator

✖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.ⓘ Coastal Cross-Shore Component [S_xx']			+10% -10%
✖Water Density is mass per unit of water.ⓘ Water Density [ρ_water]			+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%

✖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 given Cross Shore Component [d]

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Water Depth given Cross Shore Component Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

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

Variables Used

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.
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.
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

Coastal Cross-Shore Component: 17376 --> No Conversion Required
Water Density: 1000 Kilogram per Cubic Meter --> 1000 Kilogram per Cubic Meter No Conversion Required
Wave Height: 3 Meter --> 3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = S_xx'/((3/16)*ρ_water*[g]*H^2) --> 17376/((3/16)*1000*[g]*3^2)

Evaluating ... ...

d = 1.04999045432323

STEP 3: Convert Result to Output's Unit

1.04999045432323 Meter --> No Conversion Required

FINAL ANSWER

1.04999045432323 ≈ 1.04999 Meter <-- Water Depth

(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 given Cross Shore Component Formula

LaTeX Go

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

Water Depth given Cross Shore Component calculator uses Water Depth = Coastal Cross-Shore Component/((3/16)*Water Density*[g]*Wave Height^2) to calculate the Water Depth, The Water Depth given Cross Shore Component formula is defined as the directed radiation stress which is measured by soundings usually acquired by hydrographic surveys, measured from the water level to the bottom surface. Water Depth is denoted by d symbol.

How to calculate Water Depth given Cross Shore Component using this online calculator? To use this online calculator for Water Depth given Cross Shore Component, enter Coastal Cross-Shore Component (S_xx'), Water Density (ρ_water) & Wave Height (H) and hit the calculate button. Here is how the Water Depth given Cross Shore Component calculation can be explained with given input values -> 0.004713 = 17376/((3/16)*1000*[g]*3^2).

FAQ

What is Water Depth given Cross Shore Component?

The Water Depth given Cross Shore Component formula is defined as the directed radiation stress which is measured by soundings usually acquired by hydrographic surveys, measured from the water level to the bottom surface and is represented as d = S_xx'/((3/16)*ρ_water*[g]*H^2) or Water Depth = Coastal Cross-Shore Component/((3/16)*Water Density*[g]*Wave Height^2). 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 is mass per unit of water & Wave Height of a surface wave is the difference between the elevations of a crest and a neighboring trough.

How to calculate Water Depth given Cross Shore Component?

The Water Depth given Cross Shore Component formula is defined as the directed radiation stress which is measured by soundings usually acquired by hydrographic surveys, measured from the water level to the bottom surface is calculated using Water Depth = Coastal Cross-Shore Component/((3/16)*Water Density*[g]*Wave Height^2). To calculate Water Depth given Cross Shore Component, you need Coastal Cross-Shore Component (S_xx'), Water Density (ρ_water) & Wave Height (H). With our tool, you need to enter the respective value for Coastal Cross-Shore Component, Water Density & 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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