Wave Height 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%
✖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 given Cross-Shore Component [H]

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Wave Height given Cross-Shore Component Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

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

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Wave Height - (Measured in Meter) - Wave Height of a surface wave is the difference between the elevations of a crest and a neighboring trough.
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.

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
Water Depth: 1.05 Meter --> 1.05 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H = sqrt((16*S_xx')/(3*ρ_water*[g]*d)) --> sqrt((16*17376)/(3*1000*[g]*1.05))

Evaluating ... ...

H = 2.9999863632879

STEP 3: Convert Result to Output's Unit

2.9999863632879 Meter --> No Conversion Required

FINAL ANSWER

2.9999863632879 ≈ 2.999986 Meter <-- Wave Height

(Calculation completed in 00.004 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

Wave Height given Cross-Shore Component Formula

LaTeX Go

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

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 Wave Height given Cross-Shore Component?

Wave Height given Cross-Shore Component calculator uses Wave Height = sqrt((16*Coastal Cross-Shore Component)/(3*Water Density*[g]*Water Depth)) to calculate the Wave Height, The Wave Height given Cross-Shore Component formula is defined as the difference between the elevations of a crest and a neighboring trough given the equilibrium state of forces acting in the cross-shore direction, which is perpendicular to the shoreline. Wave Height is denoted by H symbol.

How to calculate Wave Height given Cross-Shore Component using this online calculator? To use this online calculator for Wave Height given Cross-Shore Component, enter Coastal Cross-Shore Component (S_xx'), Water Density (ρ_water) & Water Depth (d) and hit the calculate button. Here is how the Wave Height given Cross-Shore Component calculation can be explained with given input values -> 2.999986 = sqrt((16*17376)/(3*1000*[g]*1.05)).

FAQ

What is Wave Height given Cross-Shore Component?

The Wave Height given Cross-Shore Component formula is defined as the difference between the elevations of a crest and a neighboring trough given the equilibrium state of forces acting in the cross-shore direction, which is perpendicular to the shoreline and is represented as H = sqrt((16*S_xx')/(3*ρ_water*[g]*d)) or Wave Height = sqrt((16*Coastal Cross-Shore Component)/(3*Water Density*[g]*Water Depth)). 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 & Water Depth of the considered catchment is the depth as measured from the water level to the bottom of the considered water body.

How to calculate Wave Height given Cross-Shore Component?

The Wave Height given Cross-Shore Component formula is defined as the difference between the elevations of a crest and a neighboring trough given the equilibrium state of forces acting in the cross-shore direction, which is perpendicular to the shoreline is calculated using Wave Height = sqrt((16*Coastal Cross-Shore Component)/(3*Water Density*[g]*Water Depth)). To calculate Wave Height given Cross-Shore Component, you need Coastal Cross-Shore Component (S_xx'), Water Density (ρ_water) & Water Depth (d). With our tool, you need to enter the respective value for Coastal Cross-Shore Component, Water Density & Water Depth and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Wave Height?

In this formula, Wave Height uses Coastal Cross-Shore Component, Water Density & Water Depth. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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