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Wave Height Represented by Rayleigh Distribution Formula

GoWave Height Represented by Rayleigh Distribution under Narrow Band Condition Formula

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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. Check FAQs

H iw = (\frac{2 \cdot H}{{H rms}^{2}}) \cdot \exp (- (\frac{H^{2}}{{H rms}^{2}}))

H_iw - Individual Wave Height?H - Wave Height?H_rms - Root Mean Square Wave Height?

Wave Height Represented by Rayleigh Distribution Example

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Here is how the Wave Height Represented by Rayleigh Distribution equation looks like with Values.

Here is how the Wave Height Represented by Rayleigh Distribution equation looks like with Units.

Here is how the Wave Height Represented by Rayleigh Distribution equation looks like.

0.2447 = (\frac{2 \cdot 3}{{2.9}^{2}}) \cdot \exp (- (\frac{3^{2}}{{2.9}^{2}}))

0.2447m = (\frac{2 \cdot 3m}{{2.9m}^{2}}) \cdot \exp (- (\frac{{3m}^{2}}{{2.9m}^{2}}))

0.2447 = (\frac{2 \cdot 3}{{2.9}^{2}}) \cdot \exp (- (\frac{3^{2}}{{2.9}^{2}}))

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Wave Height Represented by Rayleigh Distribution Solution

Follow our step by step solution on how to calculate Wave Height Represented by Rayleigh Distribution?

FIRST Step Consider the formula

H iw = (\frac{2 \cdot H}{{H rms}^{2}}) \cdot \exp (- (\frac{H^{2}}{{H rms}^{2}}))

Next Step Substitute values of Variables

∴

H iw = (\frac{2 \cdot 3m}{{2.9m}^{2}}) \cdot \exp (- (\frac{{3m}^{2}}{{2.9m}^{2}}))

Next Step Prepare to Evaluate

∴

H iw = (\frac{2 \cdot 3}{{2.9}^{2}}) \cdot \exp (- (\frac{3^{2}}{{2.9}^{2}}))

Next Step Evaluate

∴

H iw = 0.24467693221344m

LAST Step Rounding Answer

∴

H iw = 0.2447m

Wave Height Represented by Rayleigh Distribution Formula Elements

Variables

Functions

Individual Wave Height

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.

Symbol: H_iw

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Individual Wave Height

Wave Height

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.

Symbol: H

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Wave Height

Root Mean Square Wave Height

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.

Symbol: H_rms

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Root Mean Square Wave Height

exp

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

Syntax: exp(Number)

Other Formulas to find Individual Wave Height

Go Wave Height Represented by Rayleigh Distribution under Narrow Band Condition

H iw = - (1 - \exp (\frac{H^{2}}{{H rms}^{2}}))

Other formulas in Wave Height category

Go Wave Height given Wave Amplitude

H = 2 \cdot a

Go Wave Height given Wave Steepness

H = ε s \cdot λ

Go Wave Height for Horizontal Fluid Particle Displacement

H = ε \cdot (4 \cdot π \cdot λ) \cdot \frac{\cosh (2 \cdot π \cdot \frac{D}{λ})}{[g] \cdot {T h}^{2}} \cdot ((\cosh (2 \cdot π \cdot \frac{D Z+d}{λ}))) \cdot \sin (θ)

Go Wave Height for Vertical Fluid Particle Displacement

H' = ε \cdot (4 \cdot π \cdot λ) \cdot \frac{\cosh (2 \cdot π \cdot \frac{D}{λ})}{[g] \cdot {T p}^{2} \cdot \sinh (2 \cdot π \cdot \frac{D Z+d}{λ}) \cdot \cos (θ)}

How to Evaluate Wave Height Represented by Rayleigh Distribution?

Wave Height Represented by Rayleigh Distribution evaluator uses Individual Wave Height = ((2*Wave Height)/Root Mean Square Wave Height^2)*exp(-(Wave Height^2/Root Mean Square Wave Height^2)) to evaluate 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 evaluate Wave Height Represented by Rayleigh Distribution using this online evaluator? To use this online evaluator for Wave Height Represented by Rayleigh Distribution, enter Wave Height (H) & Root Mean Square Wave Height (H_rms) and hit the calculate button.

FAQs on Wave Height Represented by Rayleigh Distribution

What is the formula to find Wave Height Represented by Rayleigh Distribution?

The formula of Wave Height Represented by Rayleigh Distribution is expressed as Individual Wave Height = ((2*Wave Height)/Root Mean Square Wave Height^2)*exp(-(Wave Height^2/Root Mean Square Wave Height^2)). Here is an example- 0.244677 = ((2*3)/2.9^2)*exp(-(3^2/2.9^2)).

How to calculate Wave Height Represented by Rayleigh Distribution?

With Wave Height (H) & Root Mean Square Wave Height (H_rms) we can find Wave Height Represented by Rayleigh Distribution using the formula - Individual Wave Height = ((2*Wave Height)/Root Mean Square Wave Height^2)*exp(-(Wave Height^2/Root Mean Square Wave Height^2)). This formula also uses Exponential Growth (exp) function(s).

What are the other ways to Calculate Individual Wave Height?

Here are the different ways to Calculate Individual Wave Height-

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

Can the Wave Height Represented by Rayleigh Distribution be negative?

Yes, the Wave Height Represented by Rayleigh Distribution, measured in Length can be negative.

Which unit is used to measure Wave Height Represented by Rayleigh Distribution?

Wave Height Represented by Rayleigh Distribution is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Wave Height Represented by Rayleigh Distribution can be measured.

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Wave Height Represented by Rayleigh Distribution Formula

​GoWave Height Represented by Rayleigh Distribution under Narrow Band Condition Formula

Wave Height Represented by Rayleigh Distribution Example

Wave Height Represented by Rayleigh Distribution Solution

Wave Height Represented by Rayleigh Distribution Formula Elements

Other Formulas to find Individual Wave Height

Other formulas in Wave Height category

How to Evaluate Wave Height Represented by Rayleigh Distribution?

FAQs on Wave Height Represented by Rayleigh Distribution

Variable Name

GoWave Height Represented by Rayleigh Distribution under Narrow Band Condition Formula