Mean Wave Frequency given Energy Dissipation Rate Calculator

✖Energy Dissipation Rate per unit Surface Area is the amount of energy lost by the viscous forces per unit surface area.ⓘ Energy Dissipation Rate per unit Surface Area [δ]			+10% -10%
✖Water Density is mass per unit volume of water.ⓘ Water Density [ρ_water]			+10% -10%
✖Percentage of Waves Breaking is to calculate the energy dissipation rate of a wave whose amplitude reaches a critical level at which some process can suddenly start to occur.ⓘ Percentage of Waves Breaking [Q_B]			+10% -10%
✖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%

✖Mean Wave Frequency is the number of complete cycles of waves that pass through a fixed point in a unit time.ⓘ Mean Wave Frequency given Energy Dissipation Rate [f_m]

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Formula

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Mean Wave Frequency given Energy Dissipation Rate

Formula

`"f"_{"m"} = "δ"/(0.25*"ρ"_{"water"}*"[g]"*"Q"_{"B"}*"H"_{"max"}^2)`

Example

`"7.999986Hz"="19221"/(0.25*"1000kg/m³"*"[g]"*"2"*("0.7m")^2)`

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Mean Wave Frequency given Energy Dissipation Rate Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mean Wave Frequency = Energy Dissipation Rate per unit Surface Area/(0.25*Water Density*[g]*Percentage of Waves Breaking*Maximum Wave Height^2)
f_m = δ/(0.25*ρ_water*[g]*Q_B*H_max^2)
This formula uses 1 Constants, 5 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Variables Used

Mean Wave Frequency - (Measured in Hertz) - Mean Wave Frequency is the number of complete cycles of waves that pass through a fixed point in a unit time.
Energy Dissipation Rate per unit Surface Area - Energy Dissipation Rate per unit Surface Area is the amount of energy lost by the viscous forces per unit surface area.
Water Density - (Measured in Kilogram per Cubic Meter) - Water Density is mass per unit volume of water.
Percentage of Waves Breaking - Percentage of Waves Breaking is to calculate the energy dissipation rate of a wave whose amplitude reaches a critical level at which some process can suddenly start to occur.
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.

STEP 1: Convert Input(s) to Base Unit

Energy Dissipation Rate per unit Surface Area: 19221 --> No Conversion Required
Water Density: 1000 Kilogram per Cubic Meter --> 1000 Kilogram per Cubic Meter No Conversion Required
Percentage of Waves Breaking: 2 --> No Conversion Required
Maximum Wave Height: 0.7 Meter --> 0.7 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f_m = δ/(0.25*ρ_water*[g]*Q_B*H_max^2) --> 19221/(0.25*1000*[g]*2*0.7^2)

Evaluating ... ...

f_m = 7.99998584883623

STEP 3: Convert Result to Output's Unit

7.99998584883623 Hertz --> No Conversion Required

FINAL ANSWER

7.99998584883623 ≈ 7.999986 Hertz <-- Mean Wave Frequency

(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

Mean Wave Frequency given Energy Dissipation Rate Formula

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

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 Mean Wave Frequency given Energy Dissipation Rate?

Mean Wave Frequency given Energy Dissipation Rate calculator uses Mean Wave Frequency = Energy Dissipation Rate per unit Surface Area/(0.25*Water Density*[g]*Percentage of Waves Breaking*Maximum Wave Height^2) to calculate the Mean Wave Frequency, The Mean Wave Frequency given Energy Dissipation Rate formula is defined as the number of waves that pass a fixed point in unit time also, the number of cycles or vibrations undergone during one unit of time by a body in periodic motion. Mean Wave Frequency is denoted by f_m symbol.

How to calculate Mean Wave Frequency given Energy Dissipation Rate using this online calculator? To use this online calculator for Mean Wave Frequency given Energy Dissipation Rate, enter Energy Dissipation Rate per unit Surface Area (δ), Water Density (ρ_water), Percentage of Waves Breaking (Q_B) & Maximum Wave Height (H_max) and hit the calculate button. Here is how the Mean Wave Frequency given Energy Dissipation Rate calculation can be explained with given input values -> 7.999986 = 19221/(0.25*1000*[g]*2*0.7^2).

FAQ

What is Mean Wave Frequency given Energy Dissipation Rate?

The Mean Wave Frequency given Energy Dissipation Rate formula is defined as the number of waves that pass a fixed point in unit time also, the number of cycles or vibrations undergone during one unit of time by a body in periodic motion and is represented as f_m = δ/(0.25*ρ_water*[g]*Q_B*H_max^2) or 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 per unit Surface Area is the amount of energy lost by the viscous forces per unit surface area, Water Density is mass per unit volume of water, Percentage of Waves Breaking is to calculate the energy dissipation rate of a wave whose amplitude reaches a critical level at which some process can suddenly start to occur & Maximum Wave Height is most probable influenced by the difference between the elevations of a crest and a neighboring trough.

How to calculate Mean Wave Frequency given Energy Dissipation Rate?

The Mean Wave Frequency given Energy Dissipation Rate formula is defined as the number of waves that pass a fixed point in unit time also, the number of cycles or vibrations undergone during one unit of time by a body in periodic motion is calculated using Mean Wave Frequency = Energy Dissipation Rate per unit Surface Area/(0.25*Water Density*[g]*Percentage of Waves Breaking*Maximum Wave Height^2). To calculate Mean Wave Frequency given Energy Dissipation Rate, you need Energy Dissipation Rate per unit Surface Area (δ), Water Density (ρ_water), Percentage of Waves Breaking (Q_B) & Maximum Wave Height (H_max). With our tool, you need to enter the respective value for Energy Dissipation Rate per unit Surface Area, Water Density, Percentage of Waves Breaking & Maximum Wave Height 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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