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Maximum Wave Steepness for Waves Travelling Formula

GoWave Steepness Formula

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Wave Steepness is defined as the ratio of wave height H to the wavelength λ. Check FAQs

ε s = 0.142 \cdot \tanh (2 \cdot π \cdot \frac{d}{λ})

ε_s - Wave Steepness?d - Water Depth?λ - Wavelength?π - Archimedes' constant?

Maximum Wave Steepness for Waves Travelling Example

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Here is how the Maximum Wave Steepness for Waves Travelling equation looks like with Values.

Here is how the Maximum Wave Steepness for Waves Travelling equation looks like with Units.

Here is how the Maximum Wave Steepness for Waves Travelling equation looks like.

0.0298 = 0.142 \cdot \tanh (2 \cdot 3.1416 \cdot \frac{0.91}{26.8})

0.0298 = 0.142 \cdot \tanh (2 \cdot 3.1416 \cdot \frac{0.91m}{26.8m})

0.0298 = 0.142 \cdot \tanh (2 \cdot 3.1416 \cdot \frac{0.91}{26.8})

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Maximum Wave Steepness for Waves Travelling Solution

Follow our step by step solution on how to calculate Maximum Wave Steepness for Waves Travelling?

FIRST Step Consider the formula

ε s = 0.142 \cdot \tanh (2 \cdot π \cdot \frac{d}{λ})

Next Step Substitute values of Variables

∴

ε s = 0.142 \cdot \tanh (2 \cdot π \cdot \frac{0.91m}{26.8m})

Next Step Substitute values of Constants

∴

ε s = 0.142 \cdot \tanh (2 \cdot 3.1416 \cdot \frac{0.91m}{26.8m})

Next Step Prepare to Evaluate

∴

ε s = 0.142 \cdot \tanh (2 \cdot 3.1416 \cdot \frac{0.91}{26.8})

Next Step Evaluate

∴

ε s = 0.0298438370162422

LAST Step Rounding Answer

∴

ε s = 0.0298

Maximum Wave Steepness for Waves Travelling Formula Elements

Variables

Constants

Functions

Wave Steepness

Wave Steepness is defined as the ratio of wave height H to the wavelength λ.

Symbol: ε_s

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Wave Steepness

Water Depth

Water Depth of the considered catchment is the depth as measured from the water level to the bottom of the considered water body.

Symbol: d

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Water Depth

Wavelength

Wavelength can be defined as the distance between two successive crests or troughs of a wave.

Symbol: λ

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Wavelength

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

tanh

The hyperbolic tangent function (tanh) is a function that is defined as the ratio of the hyperbolic sine function (sinh) to the hyperbolic cosine function (cosh).

Syntax: tanh(Number)

Other Formulas to find Wave Steepness

Go Wave Steepness

ε s = \frac{H}{λ}

Other formulas in Wave Parameters category

Go Wave Amplitude

a = \frac{H}{2}

Go Angular of Radian Frequency of Wave

ω = 2 \cdot \frac{π}{P}

Go Wave number given wavelength

k = 2 \cdot \frac{π}{λ}

Go Phase Velocity or Wave Celerity

C = \frac{λ}{P}

How to Evaluate Maximum Wave Steepness for Waves Travelling?

Maximum Wave Steepness for Waves Travelling evaluator uses Wave Steepness = 0.142*tanh(2*pi*Water Depth/Wavelength) to evaluate the Wave Steepness, The Maximum Wave Steepness for Waves Travelling formula is defined as the Depths less than Lo/2 by Michell is defined as the ratio of wave height H to the wavelength λ.The maximum wave height occurs for a wave steepness H / λ ≈ 0.1412, above which no periodic surface gravity waves exist. Wave Steepness is denoted by ε_s symbol.

How to evaluate Maximum Wave Steepness for Waves Travelling using this online evaluator? To use this online evaluator for Maximum Wave Steepness for Waves Travelling, enter Water Depth (d) & Wavelength (λ) and hit the calculate button.

FAQs on Maximum Wave Steepness for Waves Travelling

What is the formula to find Maximum Wave Steepness for Waves Travelling?

The formula of Maximum Wave Steepness for Waves Travelling is expressed as Wave Steepness = 0.142*tanh(2*pi*Water Depth/Wavelength). Here is an example- 0.034267 = 0.142*tanh(2*pi*0.91/26.8).

How to calculate Maximum Wave Steepness for Waves Travelling?

With Water Depth (d) & Wavelength (λ) we can find Maximum Wave Steepness for Waves Travelling using the formula - Wave Steepness = 0.142*tanh(2*pi*Water Depth/Wavelength). This formula also uses Archimedes' constant and Hyperbolic Tangent (tanh) function(s).

What are the other ways to Calculate Wave Steepness?

Here are the different ways to Calculate Wave Steepness-

Wave Steepness=Wave Height/Wavelength

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Maximum Wave Steepness for Waves Travelling Formula

​GoWave Steepness Formula

Maximum Wave Steepness for Waves Travelling Example

Maximum Wave Steepness for Waves Travelling Solution

Maximum Wave Steepness for Waves Travelling Formula Elements

Other Formulas to find Wave Steepness

Other formulas in Wave Parameters category

How to Evaluate Maximum Wave Steepness for Waves Travelling?

FAQs on Maximum Wave Steepness for Waves Travelling

Variable Name

GoWave Steepness Formula