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

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Formula

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Maximum Wave Height given Energy Dissipation Rate

Formula

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

Example

`"0.699999m"=sqrt("19221"/(0.25*"1000kg/m³"*"[g]"*"2"*"8Hz"))`

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Maximum Wave Height given Energy Dissipation Rate Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

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

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

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.
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.
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.

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
Mean Wave Frequency: 8 Hertz --> 8 Hertz No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H_max = sqrt(δ/(0.25*ρ_water*[g]*Q_B*f_m)) --> sqrt(19221/(0.25*1000*[g]*2*8))

Evaluating ... ...

H_max = 0.699999380886311

STEP 3: Convert Result to Output's Unit

0.699999380886311 Meter --> No Conversion Required

FINAL ANSWER

0.699999380886311 ≈ 0.699999 Meter <-- Maximum Wave Height

(Calculation completed in 00.007 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

Maximum Wave Height given Energy Dissipation Rate Formula

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

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 Maximum Wave Height given Energy Dissipation Rate?

Maximum Wave Height given Energy Dissipation Rate calculator uses Maximum Wave Height = sqrt(Energy Dissipation Rate per unit Surface Area/(0.25*Water Density*[g]*Percentage of Waves Breaking*Mean Wave Frequency)) to calculate the Maximum Wave Height, The Maximum Wave Height given Energy Dissipation Rate formula is defined as the surface wave i.e. the difference between the elevations of a crest and a neighbouring trough given the rate at which energy is transformed or lost within a system. Maximum Wave Height is denoted by H_max symbol.

How to calculate Maximum Wave Height given Energy Dissipation Rate using this online calculator? To use this online calculator for Maximum Wave Height given Energy Dissipation Rate, enter Energy Dissipation Rate per unit Surface Area (δ), Water Density (ρ_water), Percentage of Waves Breaking (Q_B) & Mean Wave Frequency (f_m) and hit the calculate button. Here is how the Maximum Wave Height given Energy Dissipation Rate calculation can be explained with given input values -> 0.699999 = sqrt(19221/(0.25*1000*[g]*2*8)).

FAQ

What is Maximum Wave Height given Energy Dissipation Rate?

The Maximum Wave Height given Energy Dissipation Rate formula is defined as the surface wave i.e. the difference between the elevations of a crest and a neighbouring trough given the rate at which energy is transformed or lost within a system and is represented as H_max = sqrt(δ/(0.25*ρ_water*[g]*Q_B*f_m)) or 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 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 & Mean Wave Frequency is the number of complete cycles of waves that pass through a fixed point in a unit time.

How to calculate Maximum Wave Height given Energy Dissipation Rate?

The Maximum Wave Height given Energy Dissipation Rate formula is defined as the surface wave i.e. the difference between the elevations of a crest and a neighbouring trough given the rate at which energy is transformed or lost within a system is calculated using Maximum Wave Height = sqrt(Energy Dissipation Rate per unit Surface Area/(0.25*Water Density*[g]*Percentage of Waves Breaking*Mean Wave Frequency)). To calculate Maximum Wave Height given Energy Dissipation Rate, you need Energy Dissipation Rate per unit Surface Area (δ), Water Density (ρ_water), Percentage of Waves Breaking (Q_B) & Mean Wave Frequency (f_m). With our tool, you need to enter the respective value for Energy Dissipation Rate per unit Surface Area, Water Density, Percentage of Waves Breaking & Mean Wave Frequency and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Maximum Wave Height?

In this formula, Maximum Wave Height uses Energy Dissipation Rate per unit Surface Area, Water Density, Percentage of Waves Breaking & Mean Wave Frequency. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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