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Wave Height when Free Surface Elevation of Solitary Waves Formula

GoWave Height Required to Produce Difference in Pressure on Seabed Formula

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Cnoidal Wave Height is the difference between the elevations of a crest and a neighboring trough of cnoidal wave. Check FAQs

H w' = η \cdot \frac{\sqrt{[g] \cdot d c}}{u \cdot d c}

H_w' - Cnoidal Wave Height?η - Free Surface Elevation?d_c - Water Depth for Cnoidal Wave?u - Particle Velocity?[g] - Gravitational acceleration on Earth?

Wave Height when Free Surface Elevation of Solitary Waves Example

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Here is how the Wave Height when Free Surface Elevation of Solitary Waves equation looks like with Values.

Here is how the Wave Height when Free Surface Elevation of Solitary Waves equation looks like with Units.

Here is how the Wave Height when Free Surface Elevation of Solitary Waves equation looks like.

0.9997 = 25.54 \cdot \frac{\sqrt{9.8066 \cdot 16}}{20 \cdot 16}

0.9997m = 25.54m \cdot \frac{\sqrt{9.8066m/s² \cdot 16m}}{20m/s \cdot 16m}

0.9997 = 25.54 \cdot \frac{\sqrt{9.8066 \cdot 16}}{20 \cdot 16}

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Wave Height when Free Surface Elevation of Solitary Waves Solution

Follow our step by step solution on how to calculate Wave Height when Free Surface Elevation of Solitary Waves?

FIRST Step Consider the formula

H w' = η \cdot \frac{\sqrt{[g] \cdot d c}}{u \cdot d c}

Next Step Substitute values of Variables

∴

H w' = 25.54m \cdot \frac{\sqrt{[g] \cdot 16m}}{20m/s \cdot 16m}

Next Step Substitute values of Constants

∴

H w' = 25.54m \cdot \frac{\sqrt{9.8066m/s² \cdot 16m}}{20m/s \cdot 16m}

Next Step Prepare to Evaluate

∴

H w' = 25.54 \cdot \frac{\sqrt{9.8066 \cdot 16}}{20 \cdot 16}

Next Step Evaluate

∴

H w' = 0.99974961077293m

LAST Step Rounding Answer

∴

H w' = 0.9997m

Wave Height when Free Surface Elevation of Solitary Waves Formula Elements

Variables

Constants

Functions

Cnoidal Wave Height

Cnoidal Wave Height is the difference between the elevations of a crest and a neighboring trough of cnoidal wave.

Symbol: H_w'

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Cnoidal Wave Height

Free Surface Elevation

Free Surface Elevation refers to the instantaneous vertical displacement of the water surface caused by various factors such as waves, tides, currents, and atmospheric conditions.

Symbol: η

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Free Surface Elevation

Water Depth for Cnoidal Wave

Water Depth for Cnoidal Wave refers to the depth of the water in which the cnoidal wave is propagating.

Symbol: d_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Water Depth for Cnoidal Wave

Particle Velocity

Particle Velocity refers to the velocity at which water particles move as a result of the passage of waves or currents.

Symbol: u

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Particle Velocity

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

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.

Syntax: sqrt(Number)

Other Formulas to find Cnoidal Wave Height

Go Wave Height Required to Produce Difference in Pressure on Seabed

H w' = \frac{ΔP c}{(ρ s \cdot [g]) \cdot (0.5 + (0.5 \cdot \sqrt{1 - (\frac{3 \cdot ΔP c}{ρ s \cdot [g] \cdot d c})}))}

Other formulas in Cnoidal Wave Theory category

Go Distance from Bottom to Wave Trough

y t = d c \cdot ((\frac{y c}{d c}) - (\frac{H w}{d c}))

Go Distance from Bottom to Crest

y c = d c \cdot ((\frac{y t}{d c}) + (\frac{H w}{d c}))

Go Trough to Crest Wave Height

H w = d c \cdot ((\frac{y c}{d c}) - (\frac{y t}{d c}))

Go Complete Elliptic Integral of Second Kind

E k = - ((((\frac{y t}{d c}) + (\frac{H w}{d c}) - 1) \cdot \frac{3 \cdot λ^{2}}{(16 \cdot {d c}^{2}) \cdot K k}) - K k)

How to Evaluate Wave Height when Free Surface Elevation of Solitary Waves?

Wave Height when Free Surface Elevation of Solitary Waves evaluator uses Cnoidal Wave Height = Free Surface Elevation*sqrt([g]*Water Depth for Cnoidal Wave)/(Particle Velocity*Water Depth for Cnoidal Wave) to evaluate the Cnoidal Wave Height, The Wave Height when Free Surface Elevation of Solitary Waves 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. Cnoidal Wave Height is denoted by H_w' symbol.

How to evaluate Wave Height when Free Surface Elevation of Solitary Waves using this online evaluator? To use this online evaluator for Wave Height when Free Surface Elevation of Solitary Waves, enter Free Surface Elevation (η), Water Depth for Cnoidal Wave (d_c) & Particle Velocity (u) and hit the calculate button.

FAQs on Wave Height when Free Surface Elevation of Solitary Waves

What is the formula to find Wave Height when Free Surface Elevation of Solitary Waves?

The formula of Wave Height when Free Surface Elevation of Solitary Waves is expressed as Cnoidal Wave Height = Free Surface Elevation*sqrt([g]*Water Depth for Cnoidal Wave)/(Particle Velocity*Water Depth for Cnoidal Wave). Here is an example- 0.99975 = 25.54*sqrt([g]*16)/(20*16).

How to calculate Wave Height when Free Surface Elevation of Solitary Waves?

With Free Surface Elevation (η), Water Depth for Cnoidal Wave (d_c) & Particle Velocity (u) we can find Wave Height when Free Surface Elevation of Solitary Waves using the formula - Cnoidal Wave Height = Free Surface Elevation*sqrt([g]*Water Depth for Cnoidal Wave)/(Particle Velocity*Water Depth for Cnoidal Wave). This formula also uses Gravitational acceleration on Earth constant(s) and Square Root (sqrt) function(s).

What are the other ways to Calculate Cnoidal Wave Height?

Here are the different ways to Calculate Cnoidal Wave Height-

Cnoidal Wave Height=Change in Pressure of Coast/((Density of Salt Water*[g])*(0.5+(0.5*sqrt(1-((3*Change in Pressure of Coast)/(Density of Salt Water*[g]*Water Depth for Cnoidal Wave))))))

Can the Wave Height when Free Surface Elevation of Solitary Waves be negative?

No, the Wave Height when Free Surface Elevation of Solitary Waves, measured in Length cannot be negative.

Which unit is used to measure Wave Height when Free Surface Elevation of Solitary Waves?

Wave Height when Free Surface Elevation of Solitary Waves is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Wave Height when Free Surface Elevation of Solitary Waves can be measured.

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Wave Height when Free Surface Elevation of Solitary Waves Formula

​GoWave Height Required to Produce Difference in Pressure on Seabed Formula

Wave Height when Free Surface Elevation of Solitary Waves Example

Wave Height when Free Surface Elevation of Solitary Waves Solution

Wave Height when Free Surface Elevation of Solitary Waves Formula Elements

Other Formulas to find Cnoidal Wave Height

Other formulas in Cnoidal Wave Theory category

How to Evaluate Wave Height when Free Surface Elevation of Solitary Waves?

FAQs on Wave Height when Free Surface Elevation of Solitary Waves

Variable Name

GoWave Height Required to Produce Difference in Pressure on Seabed Formula