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

✖Decay Coefficient is the loss in cell mass due to the oxidation of internal storage products for energy for cell maintenance.ⓘ Decay Coefficient [K_d]			+10% -10%
✖Wave Energy is the ratio of power per unit crest length to wave group speed.ⓘ Wave Energy [E^'']			+10% -10%
✖Wave Group Speed of a wave is the velocity with which the overall envelope shape of the wave's amplitudes.ⓘ Wave Group Speed [C_g]			+10% -10%
✖Energy Flux associated with Stable Wave Height is the rate of transfer of energy through a surface.ⓘ Energy Flux associated with Stable Wave Height [E_f]			+10% -10%
✖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 Depth of the considered catchment is the depth as measured from the water level to the bottom of the considered water body.ⓘ Water Depth given Energy Dissipation Rate per unit Surface Area due to Wave Breaking [d]

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

Formula

`"d" = "K"_{"d"}*("E"^{"''"}*"C"_{"g"}-("E"_{"f"}))/"δ"`

Example

`"1.003858m"="10.15"*("20.00J/m²"*"100m/s"-("99.00"))/"19221"`

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

STEP 0: Pre-Calculation Summary

Formula Used

Water Depth = Decay Coefficient*(Wave Energy*Wave Group Speed-(Energy Flux associated with Stable Wave Height))/Energy Dissipation Rate per unit Surface Area
d = K_d*(E^''*C_g-(E_f))/δ
This formula uses 6 Variables

Variables Used

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.
Decay Coefficient - Decay Coefficient is the loss in cell mass due to the oxidation of internal storage products for energy for cell maintenance.
Wave Energy - (Measured in Joule per Square Meter) - Wave Energy is the ratio of power per unit crest length to wave group speed.
Wave Group Speed - (Measured in Meter per Second) - Wave Group Speed of a wave is the velocity with which the overall envelope shape of the wave's amplitudes.
Energy Flux associated with Stable Wave Height - Energy Flux associated with Stable Wave Height is the rate of transfer of energy through a surface.
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.

STEP 1: Convert Input(s) to Base Unit

Decay Coefficient: 10.15 --> No Conversion Required
Wave Energy: 20 Joule per Square Meter --> 20 Joule per Square Meter No Conversion Required
Wave Group Speed: 100 Meter per Second --> 100 Meter per Second No Conversion Required
Energy Flux associated with Stable Wave Height: 99 --> No Conversion Required
Energy Dissipation Rate per unit Surface Area: 19221 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = K_d*(E^''*C_g-(E_f))/δ --> 10.15*(20*100-(99))/19221

Evaluating ... ...

d = 1.00385775974195

STEP 3: Convert Result to Output's Unit

1.00385775974195 Meter --> No Conversion Required

FINAL ANSWER

1.00385775974195 ≈ 1.003858 Meter <-- Water Depth

(Calculation completed in 00.020 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

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

Water Depth = Decay Coefficient*(Wave Energy*Wave Group Speed-(Energy Flux associated with Stable Wave Height))/Energy Dissipation Rate per unit Surface Area
d = K_d*(E^''*C_g-(E_f))/δ

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

Water Depth given Energy Dissipation Rate per unit Surface Area due to Wave Breaking calculator uses Water Depth = Decay Coefficient*(Wave Energy*Wave Group Speed-(Energy Flux associated with Stable Wave Height))/Energy Dissipation Rate per unit Surface Area to calculate the Water Depth, The Water Depth given Energy Dissipation Rate per unit Surface Area due to Wave Breaking formula is defined as a measure by soundings usually acquired by hydrographic surveys, measured from the water level to the bottom surface. Water Depth is denoted by d symbol.

How to calculate Water Depth given Energy Dissipation Rate per unit Surface Area due to Wave Breaking using this online calculator? To use this online calculator for Water Depth given Energy Dissipation Rate per unit Surface Area due to Wave Breaking, enter Decay Coefficient (K_d), Wave Energy (E^''), Wave Group Speed (C_g), Energy Flux associated with Stable Wave Height (E_f) & Energy Dissipation Rate per unit Surface Area (δ) and hit the calculate button. Here is how the Water Depth given Energy Dissipation Rate per unit Surface Area due to Wave Breaking calculation can be explained with given input values -> 1.003858 = 10.15*(20*100-(99))/19221.

FAQ

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

The Water Depth given Energy Dissipation Rate per unit Surface Area due to Wave Breaking formula is defined as a measure by soundings usually acquired by hydrographic surveys, measured from the water level to the bottom surface and is represented as d = K_d*(E^''*C_g-(E_f))/δ or Water Depth = Decay Coefficient*(Wave Energy*Wave Group Speed-(Energy Flux associated with Stable Wave Height))/Energy Dissipation Rate per unit Surface Area. Decay Coefficient is the loss in cell mass due to the oxidation of internal storage products for energy for cell maintenance, Wave Energy is the ratio of power per unit crest length to wave group speed, Wave Group Speed of a wave is the velocity with which the overall envelope shape of the wave's amplitudes, Energy Flux associated with Stable Wave Height is the rate of transfer of energy through a surface & Energy Dissipation Rate per unit Surface Area is the amount of energy lost by the viscous forces per unit surface area.

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

The Water Depth given Energy Dissipation Rate per unit Surface Area due to Wave Breaking formula is defined as a measure by soundings usually acquired by hydrographic surveys, measured from the water level to the bottom surface is calculated using Water Depth = Decay Coefficient*(Wave Energy*Wave Group Speed-(Energy Flux associated with Stable Wave Height))/Energy Dissipation Rate per unit Surface Area. To calculate Water Depth given Energy Dissipation Rate per unit Surface Area due to Wave Breaking, you need Decay Coefficient (K_d), Wave Energy (E^''), Wave Group Speed (C_g), Energy Flux associated with Stable Wave Height (E_f) & Energy Dissipation Rate per unit Surface Area (δ). With our tool, you need to enter the respective value for Decay Coefficient, Wave Energy, Wave Group Speed, Energy Flux associated with Stable Wave Height & Energy Dissipation Rate per unit Surface Area 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 Water Depth?

In this formula, Water Depth uses Decay Coefficient, Wave Energy, Wave Group Speed, Energy Flux associated with Stable Wave Height & Energy Dissipation Rate per unit Surface Area. We can use 2 other way(s) to calculate the same, which is/are as follows -

Water Depth = Stable Wave Height/0.4
Water Depth = ((atanh(Maximum Wave Height/(0.14*Wavelength of Coast)))/Wave Number for Waves in Coast)

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