Wave Number 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%
✖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.ⓘ Wavelength of Coast [λ]			+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%

✖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 given Maximum Wave Height by Miche Criterion [k]

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Wave Number given Maximum Wave Height by Miche Criterion Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wave Number for Waves in Coast = atanh(Maximum Wave Height/(0.14*Wavelength of Coast))/Water Depth
k = atanh(H_max/(0.14*λ))/d
This formula uses 2 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)
atanh - The inverse hyperbolic tangent function returns the value whose hyperbolic tangent is a number., atanh(Number)

Variables Used

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.
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.
Wavelength of Coast - (Measured in Meter) - 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.
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
Wavelength of Coast: 26.8 Meter --> 26.8 Meter No Conversion Required
Water Depth: 1.05 Meter --> 1.05 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

k = atanh(H_max/(0.14*λ))/d --> atanh(0.7/(0.14*26.8))/1.05

Evaluating ... ...

k = 0.17978872380528

STEP 3: Convert Result to Output's Unit

0.17978872380528 --> No Conversion Required

FINAL ANSWER

0.17978872380528 ≈ 0.179789 <-- Wave Number for Waves in Coast

(Calculation completed in 00.004 seconds)

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< Energy Flux Method Calculators

Energy Dissipation Rate per unit Surface Area due to Wave Breaking

LaTeX 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

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

Energy Flux associated with Stable Wave Height

LaTeX Go Energy Flux = Wave Energy*Wave Group Speed

Stable Wave Height

LaTeX Go Stable Wave Height = 0.4*Water Depth

Wave Number given Maximum Wave Height by Miche Criterion Formula

LaTeX Go

Wave Number for Waves in Coast = atanh(Maximum Wave Height/(0.14*Wavelength of Coast))/Water Depth
k = atanh(H_max/(0.14*λ))/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 Wave Number given Maximum Wave Height by Miche Criterion?

Wave Number given Maximum Wave Height by Miche Criterion calculator uses Wave Number for Waves in Coast = atanh(Maximum Wave Height/(0.14*Wavelength of Coast))/Water Depth to calculate 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 calculate Wave Number given Maximum Wave Height by Miche Criterion using this online calculator? To use this online calculator 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. Here is how the Wave Number given Maximum Wave Height by Miche Criterion calculation can be explained with given input values -> 0.179789 = atanh(0.7/(0.14*26.8))/1.05.

FAQ

What is Wave Number given Maximum Wave Height by Miche Criterion?

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 and is represented as k = atanh(H_max/(0.14*λ))/d or Wave Number for Waves in Coast = atanh(Maximum Wave Height/(0.14*Wavelength of Coast))/Water Depth. Maximum Wave Height is most probable influenced by the difference between the elevations of a crest and a neighboring trough, 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 & 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 Wave Number given Maximum Wave Height by Miche Criterion?

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 is calculated using Wave Number for Waves in Coast = atanh(Maximum Wave Height/(0.14*Wavelength of Coast))/Water Depth. To calculate Wave Number given Maximum Wave Height by Miche Criterion, you need Maximum Wave Height (H_max), Wavelength of Coast (λ) & Water Depth (d). With our tool, you need to enter the respective value for Maximum Wave Height, Wavelength of 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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