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Wavelength given Maximum Wave Height by Miche Criterion Formula

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Wavelength of Coast refers to the distance between two successive crests or troughs of a wave as it travels through the water near the shore. Check FAQs

λ = \frac{H max}{0.14 \cdot \tanh (k \cdot d)}

λ - Wavelength of Coast?H_max - Maximum Wave Height?k - Wave Number for Waves in Coast?d - Water Depth?

Wavelength given Maximum Wave Height by Miche Criterion Example

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Here is how the Wavelength given Maximum Wave Height by Miche Criterion equation looks like with Values.

Here is how the Wavelength given Maximum Wave Height by Miche Criterion equation looks like with Units.

Here is how the Wavelength given Maximum Wave Height by Miche Criterion equation looks like.

24.1585 = \frac{0.7}{0.14 \cdot \tanh (0.2 \cdot 1.05)}

24.1585m = \frac{0.7m}{0.14 \cdot \tanh (0.2 \cdot 1.05m)}

24.1585 = \frac{0.7}{0.14 \cdot \tanh (0.2 \cdot 1.05)}

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Wavelength given Maximum Wave Height by Miche Criterion Solution

Follow our step by step solution on how to calculate Wavelength given Maximum Wave Height by Miche Criterion?

FIRST Step Consider the formula

λ = \frac{H max}{0.14 \cdot \tanh (k \cdot d)}

Next Step Substitute values of Variables

∴

λ = \frac{0.7m}{0.14 \cdot \tanh (0.2 \cdot 1.05m)}

Next Step Prepare to Evaluate

∴

λ = \frac{0.7}{0.14 \cdot \tanh (0.2 \cdot 1.05)}

Next Step Evaluate

∴

λ = 24.1584991123492m

LAST Step Rounding Answer

∴

λ = 24.1585m

Wavelength given Maximum Wave Height by Miche Criterion Formula Elements

Variables

Functions

Wavelength of Coast

Wavelength of Coast refers to the distance between two successive crests or troughs of a wave as it travels through the water near the shore.

Symbol: λ

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Wavelength of Coast

Maximum Wave Height

Maximum Wave Height is most probable influenced by the difference between the elevations of a crest and a neighboring trough.

Symbol: H_max

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Maximum Wave Height

Wave Number for Waves in Coast

Wave Number for Waves in Coast is the spatial frequency of a wave, measured in cycles per unit distance or radians per unit distance.

Symbol: k

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Wave Number for Waves in Coast

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

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 in Energy Flux Method category

Go Energy Flux associated with Stable Wave Height

E f' = E'' \cdot C g

Go Energy Dissipation Rate per unit Surface Area due to Wave Breaking

δ = (\frac{K d}{d}) \cdot ((E'' \cdot C g) - (E f))

Go Water Depth given Energy Dissipation Rate per unit Surface Area due to Wave Breaking

d = K d \cdot \frac{E'' \cdot C g - (E f)}{δ}

Go Stable Wave Height

H stable = 0.4 \cdot d

How to Evaluate Wavelength given Maximum Wave Height by Miche Criterion?

Wavelength given Maximum Wave Height by Miche Criterion evaluator uses Wavelength of Coast = Maximum Wave Height/(0.14*tanh(Wave Number for Waves in Coast*Water Depth)) to evaluate the Wavelength of Coast, The Wavelength given Maximum Wave Height by Miche Criterion formula is defined as the distance between corresponding points of two consecutive waves. Wavelength of Coast is denoted by λ symbol.

How to evaluate Wavelength given Maximum Wave Height by Miche Criterion using this online evaluator? To use this online evaluator for Wavelength given Maximum Wave Height by Miche Criterion, enter Maximum Wave Height (H_max), Wave Number for Waves in Coast (k) & Water Depth (d) and hit the calculate button.

FAQs on Wavelength given Maximum Wave Height by Miche Criterion

What is the formula to find Wavelength given Maximum Wave Height by Miche Criterion?

The formula of Wavelength given Maximum Wave Height by Miche Criterion is expressed as Wavelength of Coast = Maximum Wave Height/(0.14*tanh(Wave Number for Waves in Coast*Water Depth)). Here is an example- 24.1585 = 0.7/(0.14*tanh(0.2*1.05)).

How to calculate Wavelength given Maximum Wave Height by Miche Criterion?

With Maximum Wave Height (H_max), Wave Number for Waves in Coast (k) & Water Depth (d) we can find Wavelength given Maximum Wave Height by Miche Criterion using the formula - Wavelength of Coast = Maximum Wave Height/(0.14*tanh(Wave Number for Waves in Coast*Water Depth)). This formula also uses Hyperbolic Tangent (tanh) function(s).

Can the Wavelength given Maximum Wave Height by Miche Criterion be negative?

Yes, the Wavelength given Maximum Wave Height by Miche Criterion, measured in Length can be negative.

Which unit is used to measure Wavelength given Maximum Wave Height by Miche Criterion?

Wavelength given Maximum Wave Height by Miche Criterion is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Wavelength given Maximum Wave Height by Miche Criterion can be measured.

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Wavelength given Maximum Wave Height by Miche Criterion Formula

Wavelength given Maximum Wave Height by Miche Criterion Example

Wavelength given Maximum Wave Height by Miche Criterion Solution

Wavelength given Maximum Wave Height by Miche Criterion Formula Elements

Other formulas in Energy Flux Method category

How to Evaluate Wavelength given Maximum Wave Height by Miche Criterion?

FAQs on Wavelength given Maximum Wave Height by Miche Criterion

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