Wavelength given Maximum Wave Height by Miche Criterion Calculator

✖Maximum Wave Height is most probable influenced by the difference between the elevations of a crest and a neighboring trough.ⓘ Maximum Wave Height [H_max]			+10% -10%
✖Wave Number for Waves in Coast is the spatial frequency of a wave, measured in cycles per unit distance or radians per unit distance.ⓘ Wave Number for Waves in Coast [k]			+10% -10%
✖Water Depth of the considered catchment is the depth as measured from the water level to the bottom of the considered water body.ⓘ Water Depth [d]			+10% -10%

✖Wavelength of Coast is the distance between two successive crests or troughs of a wave.ⓘ Wavelength given Maximum Wave Height by Miche Criterion [λ]

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Formula

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Wavelength given Maximum Wave Height by Miche Criterion

Formula

`"λ" = "H"_{"max"}/(0.14*tanh("k"*"d"))`

Example

`"24.1585m"="0.7m"/(0.14*tanh("0.2"*"1.05m"))`

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Wavelength given Maximum Wave Height by Miche Criterion Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wavelength of Coast = Maximum Wave Height/(0.14*tanh(Wave Number for Waves in Coast*Water Depth))
λ = H_max/(0.14*tanh(k*d))
This formula uses 1 Functions, 4 Variables

Functions Used

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)., tanh(Number)

Variables Used

Wavelength of Coast - (Measured in Meter) - Wavelength of Coast is the distance between two successive crests or troughs of a wave.
Maximum Wave Height - (Measured in Meter) - Maximum Wave Height is most probable influenced by the difference between the elevations of a crest and a neighboring trough.
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.
Water Depth - (Measured in Meter) - Water Depth of the considered catchment is the depth as measured from the water level to the bottom of the considered water body.

STEP 1: Convert Input(s) to Base Unit

Maximum Wave Height: 0.7 Meter --> 0.7 Meter No Conversion Required
Wave Number for Waves in Coast: 0.2 --> No Conversion Required
Water Depth: 1.05 Meter --> 1.05 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

λ = H_max/(0.14*tanh(k*d)) --> 0.7/(0.14*tanh(0.2*1.05))

Evaluating ... ...

λ = 24.1584991123492

STEP 3: Convert Result to Output's Unit

24.1584991123492 Meter --> No Conversion Required

FINAL ANSWER

24.1584991123492 ≈ 24.1585 Meter <-- Wavelength of Coast

(Calculation completed in 00.004 seconds)

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< 13 Energy Flux Method Calculators

Maximum Wave Height given Energy Dissipation Rate

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

Energy Dissipation Rate per unit Surface Area due to Wave Breaking

Go Energy Dissipation Rate per unit Surface Area = (Decay Coefficient/Water Depth)*((Wave Energy*Wave Group Speed)-(Energy Flux associated with Stable Wave Height))

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

Go Water Depth = Decay Coefficient*(Wave Energy*Wave Group Speed-(Energy Flux associated with Stable Wave Height))/Energy Dissipation Rate per unit Surface Area

Percentage of Waves Breaking given Energy Dissipation Rate

Go Percentage of Waves Breaking = Energy Dissipation Rate per unit Surface Area/(0.25*Water Density*[g]*Mean Wave Frequency*(Maximum Wave Height^2))

Mean Wave Frequency given Energy Dissipation Rate

Go Mean Wave Frequency = Energy Dissipation Rate per unit Surface Area/(0.25*Water Density*[g]*Percentage of Waves Breaking*Maximum Wave Height^2)

Energy Dissipation Rate by Battjes and Janssen

Go Energy Dissipation Rate per unit Surface Area = 0.25*Water Density*[g]*Percentage of Waves Breaking*Mean Wave Frequency*(Maximum Wave Height^2)

Water Depth given Maximum Wave Height by Miche Criterion

Go Water Depth = ((atanh(Maximum Wave Height/(0.14*Wavelength of Coast)))/Wave Number for Waves in Coast)

Wave Number given Maximum Wave Height by Miche Criterion

Go Wave Number for Waves in Coast = atanh(Maximum Wave Height/(0.14*Wavelength of Coast))/Water Depth

Wavelength given Maximum Wave Height by Miche Criterion

Go Wavelength of Coast = Maximum Wave Height/(0.14*tanh(Wave Number for Waves in Coast*Water Depth))

Maximum Wave Height using Miche Criterion

Go Maximum Wave Height = 0.14*Wavelength of Coast*tanh(Water Depth*Wave Number for Waves in Coast)

Energy Flux associated with Stable Wave Height

Go Energy Flux = Wave Energy*Wave Group Speed

Water Depth given Stable Wave Height

Go Water Depth = Stable Wave Height/0.4

Stable Wave Height

Go Stable Wave Height = 0.4*Water Depth

Wavelength given Maximum Wave Height by Miche Criterion Formula

Wavelength of Coast = Maximum Wave Height/(0.14*tanh(Wave Number for Waves in Coast*Water Depth))
λ = H_max/(0.14*tanh(k*d))

What is Wave Height and Wave Energy?

In fluid dynamics, the wave height of a surface wave is the difference between the elevations of a crest and a neighbouring trough. Wave height is a term used by mariners, as well as in coastal, ocean and naval engineering.
Wave energy (or wave power) is the transport and capture of energy by ocean surface waves. The energy captured is then used for all different kinds of useful work, including electricity generation, water desalination, and pumping of water.

What is Breaking Wave and Group Velocity?

In fluid dynamics, a breaking wave or breaker is a wave whose amplitude reaches a critical level at which some process can suddenly start to occur causing large amounts of wave energy to be transformed into turbulent kinetic energy.
The group velocity of a wave is the velocity with which the overall envelope shape of the wave's amplitudes—known as the modulation or envelope of the wave propagates through space.

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

Wavelength given Maximum Wave Height by Miche Criterion calculator uses Wavelength of Coast = Maximum Wave Height/(0.14*tanh(Wave Number for Waves in Coast*Water Depth)) to calculate 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 calculate Wavelength given Maximum Wave Height by Miche Criterion using this online calculator? To use this online calculator 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. Here is how the Wavelength given Maximum Wave Height by Miche Criterion calculation can be explained with given input values -> 24.1585 = 0.7/(0.14*tanh(0.2*1.05)).

FAQ

What is Wavelength given Maximum Wave Height by Miche Criterion?

The Wavelength given Maximum Wave Height by Miche Criterion formula is defined as the distance between corresponding points of two consecutive waves and is represented as λ = H_max/(0.14*tanh(k*d)) or Wavelength of Coast = Maximum Wave Height/(0.14*tanh(Wave Number for Waves in Coast*Water Depth)). Maximum Wave Height is most probable influenced by the difference between the elevations of a crest and a neighboring trough, Wave Number for Waves in Coast is the spatial frequency of a wave, measured in cycles per unit distance or radians per unit distance & Water Depth of the considered catchment is the depth as measured from the water level to the bottom of the considered water body.

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

The Wavelength given Maximum Wave Height by Miche Criterion formula is defined as the distance between corresponding points of two consecutive waves is calculated using Wavelength of Coast = Maximum Wave Height/(0.14*tanh(Wave Number for Waves in Coast*Water Depth)). To calculate Wavelength given Maximum Wave Height by Miche Criterion, you need Maximum Wave Height (H_max), Wave Number for Waves in Coast (k) & Water Depth (d). With our tool, you need to enter the respective value for Maximum Wave Height, Wave Number for Waves in Coast & Water Depth and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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