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Wave Number given Maximum Wave Height by Miche Criterion Formula

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

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

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

Wave Number given Maximum Wave Height by Miche Criterion Example

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

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

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

0.1798 = a \frac{\tanh (\frac{0.7}{0.14 \cdot 26.8})}{1.05}

0.1798 = a \frac{\tanh (\frac{0.7m}{0.14 \cdot 26.8m})}{1.05m}

0.1798 = a \frac{\tanh (\frac{0.7}{0.14 \cdot 26.8})}{1.05}

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Wave Number given Maximum Wave Height by Miche Criterion Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

k = a \frac{\tanh (\frac{0.7m}{0.14 \cdot 26.8m})}{1.05m}

Next Step Prepare to Evaluate

∴

k = a \frac{\tanh (\frac{0.7}{0.14 \cdot 26.8})}{1.05}

Next Step Evaluate

∴

k = 0.17978872380528

LAST Step Rounding Answer

∴

k = 0.1798

Wave Number given Maximum Wave Height by Miche Criterion Formula Elements

Variables

Functions

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

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

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

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)

atanh

The inverse hyperbolic tangent function returns the value whose hyperbolic tangent is a number.

Syntax: atanh(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 Wave Number given Maximum Wave Height by Miche Criterion?

Wave Number given Maximum Wave Height by Miche Criterion evaluator uses Wave Number for Waves in Coast = atanh(Maximum Wave Height/(0.14*Wavelength of Coast))/Water Depth to evaluate the Wave Number for Waves in Coast, The Wave Number given Maximum Wave Height by Miche Criterion formula is defined as the spatial frequency of a wave, measured in cycles per unit distance or radians per unit distance. Wave Number for Waves in Coast is denoted by k symbol.

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

FAQs on Wave Number given Maximum Wave Height by Miche Criterion

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

The formula of Wave Number given Maximum Wave Height by Miche Criterion is expressed as Wave Number for Waves in Coast = atanh(Maximum Wave Height/(0.14*Wavelength of Coast))/Water Depth. Here is an example- 0.179789 = atanh(0.7/(0.14*26.8))/1.05.

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

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

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Wave Number given Maximum Wave Height by Miche Criterion Formula

Wave Number given Maximum Wave Height by Miche Criterion Example

Wave Number given Maximum Wave Height by Miche Criterion Solution

Wave Number given Maximum Wave Height by Miche Criterion Formula Elements

Other formulas in Energy Flux Method category

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

FAQs on Wave Number given Maximum Wave Height by Miche Criterion

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