Wave Height Represented by Rayleigh Distribution Calculator

✖Wave Height is the vertical distance between the trough (lowest point) and the crest (highest point) of a wave. The average height of the highest third of the waves in a given wave dataset.ⓘ Wave Height [H]			+10% -10%
✖Root Mean Square Wave Height is a parameter influencing the Breaker Height Index that is commonly used to define the wave height at breaking in the saturated zones.ⓘ Root Mean Square Wave Height [H_rms]			+10% -10%

✖Individual Wave Height is the vertical distance between the trough and the crest of a single wave. This measurement is taken from the lowest point of the wave to the highest point.ⓘ Wave Height Represented by Rayleigh Distribution [H_iw]

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Wave Height Represented by Rayleigh Distribution Solution

STEP 0: Pre-Calculation Summary

Formula Used

Individual Wave Height = ((2*Wave Height)/Root Mean Square Wave Height^2)*exp(-(Wave Height^2/Root Mean Square Wave Height^2))
H_iw = ((2*H)/H_rms^2)*exp(-(H^2/H_rms^2))
This formula uses 1 Functions, 3 Variables

Functions Used

exp - n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable., exp(Number)

Variables Used

Individual Wave Height - (Measured in Meter) - Individual Wave Height is the vertical distance between the trough and the crest of a single wave. This measurement is taken from the lowest point of the wave to the highest point.
Wave Height - (Measured in Meter) - Wave Height is the vertical distance between the trough (lowest point) and the crest (highest point) of a wave. The average height of the highest third of the waves in a given wave dataset.
Root Mean Square Wave Height - (Measured in Meter) - Root Mean Square Wave Height is a parameter influencing the Breaker Height Index that is commonly used to define the wave height at breaking in the saturated zones.

STEP 1: Convert Input(s) to Base Unit

Wave Height: 3 Meter --> 3 Meter No Conversion Required
Root Mean Square Wave Height: 2.9 Meter --> 2.9 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H_iw = ((2*H)/H_rms^2)*exp(-(H^2/H_rms^2)) --> ((2*3)/2.9^2)*exp(-(3^2/2.9^2))

Evaluating ... ...

H_iw = 0.24467693221344

STEP 3: Convert Result to Output's Unit

0.24467693221344 Meter --> No Conversion Required

FINAL ANSWER

0.24467693221344 ≈ 0.244677 Meter <-- Individual Wave Height

(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 Height Represented by Rayleigh Distribution Formula

LaTeX Go

Individual Wave Height = ((2*Wave Height)/Root Mean Square Wave Height^2)*exp(-(Wave Height^2/Root Mean Square Wave Height^2))
H_iw = ((2*H)/H_rms^2)*exp(-(H^2/H_rms^2))

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There is a flow of energy in the direction of the wave.
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How to Calculate Wave Height Represented by Rayleigh Distribution?

Wave Height Represented by Rayleigh Distribution calculator uses Individual Wave Height = ((2*Wave Height)/Root Mean Square Wave Height^2)*exp(-(Wave Height^2/Root Mean Square Wave Height^2)) to calculate the Individual Wave Height, The Wave Height Represented by Rayleigh Distribution formula is defined as the difference between the elevations of a crest and a neighboring trough. Wave height is a term used by mariners, as well as in coastal, ocean and naval engineering. Individual Wave Height is denoted by H_iw symbol.

How to calculate Wave Height Represented by Rayleigh Distribution using this online calculator? To use this online calculator for Wave Height Represented by Rayleigh Distribution, enter Wave Height (H) & Root Mean Square Wave Height (H_rms) and hit the calculate button. Here is how the Wave Height Represented by Rayleigh Distribution calculation can be explained with given input values -> 0.244677 = ((2*3)/2.9^2)*exp(-(3^2/2.9^2)).

FAQ

What is Wave Height Represented by Rayleigh Distribution?

The Wave Height Represented by Rayleigh Distribution formula is defined as the difference between the elevations of a crest and a neighboring trough. Wave height is a term used by mariners, as well as in coastal, ocean and naval engineering and is represented as H_iw = ((2*H)/H_rms^2)*exp(-(H^2/H_rms^2)) or Individual Wave Height = ((2*Wave Height)/Root Mean Square Wave Height^2)*exp(-(Wave Height^2/Root Mean Square Wave Height^2)). Wave Height is the vertical distance between the trough (lowest point) and the crest (highest point) of a wave. The average height of the highest third of the waves in a given wave dataset & Root Mean Square Wave Height is a parameter influencing the Breaker Height Index that is commonly used to define the wave height at breaking in the saturated zones.

How to calculate Wave Height Represented by Rayleigh Distribution?

The Wave Height Represented by Rayleigh Distribution formula is defined as the difference between the elevations of a crest and a neighboring trough. Wave height is a term used by mariners, as well as in coastal, ocean and naval engineering is calculated using Individual Wave Height = ((2*Wave Height)/Root Mean Square Wave Height^2)*exp(-(Wave Height^2/Root Mean Square Wave Height^2)). To calculate Wave Height Represented by Rayleigh Distribution, you need Wave Height (H) & Root Mean Square Wave Height (H_rms). With our tool, you need to enter the respective value for Wave Height & Root Mean Square Wave Height 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 Individual Wave Height?

In this formula, Individual Wave Height uses Wave Height & Root Mean Square Wave Height. We can use 1 other way(s) to calculate the same, which is/are as follows -

Individual Wave Height = -(1-exp(Wave Height^2/Root Mean Square Wave Height^2))

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