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

✖Wave Runup is the maximum onshore elevation reached by waves, relative to the shoreline position in the absence of waves.ⓘ Wave Runup [R]			+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%

✖Deepwater Wave Height refers to the measurement of the vertical distance between the trough and the crest of a wave in deep water.ⓘ Deepwater Wave Height given Nonbreaking Upper Limit of Runup on Uniform Slope [H_d]

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

STEP 0: Pre-Calculation Summary

Formula Used

Deepwater Wave Height = Wave Runup/((2*pi)^0.5*(pi/2*Beach Slope)^(1/4))
H_d = R/((2*pi)^0.5*(pi/2*β)^(1/4))
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Deepwater Wave Height - (Measured in Meter) - Deepwater Wave Height refers to the measurement of the vertical distance between the trough and the crest of a wave in deep water.
Wave Runup - (Measured in Meter) - Wave Runup is the maximum onshore elevation reached by waves, relative to the shoreline position in the absence of 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.

STEP 1: Convert Input(s) to Base Unit

Wave Runup: 20 Meter --> 20 Meter No Conversion Required
Beach Slope: 0.76 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H_d = R/((2*pi)^0.5*(pi/2*β)^(1/4)) --> 20/((2*pi)^0.5*(pi/2*0.76)^(1/4))

Evaluating ... ...

H_d = 7.63320092332546

STEP 3: Convert Result to Output's Unit

7.63320092332546 Meter --> No Conversion Required

FINAL ANSWER

7.63320092332546 ≈ 7.633201 Meter <-- Deepwater Wave Height

(Calculation completed in 00.004 seconds)

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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

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

LaTeX Go

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

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

Deepwater Wave Height given Nonbreaking Upper Limit of Runup on Uniform Slope calculator uses Deepwater Wave Height = Wave Runup/((2*pi)^0.5*(pi/2*Beach Slope)^(1/4)) to calculate the Deepwater Wave Height, The Deepwater Wave Height given Nonbreaking Upper Limit of Runup on Uniform Slope formula is defined as the difference between the elevations of a crest and a neighbouring trough given the maximum height that a nonbreaking wave can reach as it runs up a uniform slope. Deepwater Wave Height is denoted by H_d symbol.

How to calculate Deepwater Wave Height given Nonbreaking Upper Limit of Runup on Uniform Slope using this online calculator? To use this online calculator for Deepwater Wave Height given Nonbreaking Upper Limit of Runup on Uniform Slope, enter Wave Runup (R) & Beach Slope (β) and hit the calculate button. Here is how the Deepwater Wave Height given Nonbreaking Upper Limit of Runup on Uniform Slope calculation can be explained with given input values -> 7.633201 = 20/((2*pi)^0.5*(pi/2*0.76)^(1/4)).

FAQ

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

The Deepwater Wave Height given Nonbreaking Upper Limit of Runup on Uniform Slope formula is defined as the difference between the elevations of a crest and a neighbouring trough given the maximum height that a nonbreaking wave can reach as it runs up a uniform slope and is represented as H_d = R/((2*pi)^0.5*(pi/2*β)^(1/4)) or Deepwater Wave Height = Wave Runup/((2*pi)^0.5*(pi/2*Beach Slope)^(1/4)). Wave Runup is the maximum onshore elevation reached by waves, relative to the shoreline position in the absence of 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.

How to calculate Deepwater Wave Height given Nonbreaking Upper Limit of Runup on Uniform Slope?

The Deepwater Wave Height given Nonbreaking Upper Limit of Runup on Uniform Slope formula is defined as the difference between the elevations of a crest and a neighbouring trough given the maximum height that a nonbreaking wave can reach as it runs up a uniform slope is calculated using Deepwater Wave Height = Wave Runup/((2*pi)^0.5*(pi/2*Beach Slope)^(1/4)). To calculate Deepwater Wave Height given Nonbreaking Upper Limit of Runup on Uniform Slope, you need Wave Runup (R) & Beach Slope (β). With our tool, you need to enter the respective value for Wave Runup & Beach Slope 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 Deepwater Wave Height?

In this formula, Deepwater Wave Height uses Wave Runup & Beach Slope. We can use 1 other way(s) to calculate the same, which is/are as follows -

Deepwater Wave Height = Wave Runup/Deepwater Surf Similarity Parameter

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