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Maximum Wave Height using Miche Criterion Formula

GoMaximum Wave Height given Energy Dissipation Rate Formula

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

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

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

Maximum Wave Height using Miche Criterion Example

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Here is how the Maximum Wave Height using Miche Criterion equation looks like with Values.

Here is how the Maximum Wave Height using Miche Criterion equation looks like with Units.

Here is how the Maximum Wave Height using Miche Criterion equation looks like.

0.7765 = 0.14 \cdot 26.8 \cdot \tanh (1.05 \cdot 0.2)

0.7765m = 0.14 \cdot 26.8m \cdot \tanh (1.05m \cdot 0.2)

0.7765 = 0.14 \cdot 26.8 \cdot \tanh (1.05 \cdot 0.2)

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Maximum Wave Height using Miche Criterion Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

H max = 0.14 \cdot 26.8m \cdot \tanh (1.05m \cdot 0.2)

Next Step Prepare to Evaluate

∴

H max = 0.14 \cdot 26.8 \cdot \tanh (1.05 \cdot 0.2)

Next Step Evaluate

∴

H max = 0.776538306984906m

LAST Step Rounding Answer

∴

H max = 0.7765m

Maximum Wave Height using Miche Criterion Formula Elements

Variables

Functions

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

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

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 Maximum Wave Height

Go Maximum Wave Height given Energy Dissipation Rate

H max = \sqrt{\frac{δ}{0.25 \cdot ρ water \cdot [g] \cdot Q B \cdot f m}}

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 Maximum Wave Height using Miche Criterion?

Maximum Wave Height using Miche Criterion evaluator uses Maximum Wave Height = 0.14*Wavelength of Coast*tanh(Water Depth*Wave Number for Waves in Coast) to evaluate the Maximum Wave Height, The Maximum Wave Height using Miche Criterion formula is defined as the maximum energy in the process of limiting water fluctuations and the degree of bank erosion. Maximum Wave Height is denoted by H_max symbol.

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

FAQs on Maximum Wave Height using Miche Criterion

What is the formula to find Maximum Wave Height using Miche Criterion?

The formula of Maximum Wave Height using Miche Criterion is expressed as Maximum Wave Height = 0.14*Wavelength of Coast*tanh(Water Depth*Wave Number for Waves in Coast). Here is an example- 0.776538 = 0.14*26.8*tanh(1.05*0.2).

How to calculate Maximum Wave Height using Miche Criterion?

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

What are the other ways to Calculate Maximum Wave Height?

Here are the different ways to Calculate Maximum Wave Height-

Maximum Wave Height=sqrt(Energy Dissipation Rate per unit Surface Area/(0.25*Water Density*[g]*Percentage of Waves Breaking*Mean Wave Frequency))

Can the Maximum Wave Height using Miche Criterion be negative?

No, the Maximum Wave Height using Miche Criterion, measured in Length cannot be negative.

Which unit is used to measure Maximum Wave Height using Miche Criterion?

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

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Maximum Wave Height using Miche Criterion Formula

​GoMaximum Wave Height given Energy Dissipation Rate Formula

Maximum Wave Height using Miche Criterion Example

Maximum Wave Height using Miche Criterion Solution

Maximum Wave Height using Miche Criterion Formula Elements

Other Formulas to find Maximum Wave Height

Other formulas in Energy Flux Method category

How to Evaluate Maximum Wave Height using Miche Criterion?

FAQs on Maximum Wave Height using Miche Criterion

Variable Name

GoMaximum Wave Height given Energy Dissipation Rate Formula