Energy Dissipation Rate by Battjes and Janssen Calculator

✖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 [H_max]			+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 by Battjes and Janssen [δ]

⎘ Copy

👎

Formula

✖

Energy Dissipation Rate by Battjes and Janssen

Formula

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

Example

`"19221.03"=0.25*"1000kg/m³"*"[g]"*"2"*"8Hz"*(("0.7m")^2)`

Calculator

LaTeX

Reset

👍

Download Energy Flux Method Formulas PDF PDF Image

Energy Dissipation Rate by Battjes and Janssen Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

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

Variables Used

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.
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

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
Maximum Wave Height: 0.7 Meter --> 0.7 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

δ = 0.25*ρ_water*[g]*Q_B*f_m*(H_max^2) --> 0.25*1000*[g]*2*8*(0.7^2)

Evaluating ... ...

δ = 19221.034

STEP 3: Convert Result to Output's Unit

19221.034 --> No Conversion Required

FINAL ANSWER

19221.034 ≈ 19221.03 <-- Energy Dissipation Rate per unit Surface Area

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Coastal and Ocean Engineering » Surf Zone Hydrodynamics » Surf Zone Waves » Energy Flux Method » Energy Dissipation Rate by Battjes and Janssen

Credits

Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has created this Calculator and 2000+ more calculators!

Verified by M Naveen

National Institute of Technology (NIT), Warangal

M Naveen has verified this Calculator and 900+ more calculators!

< 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

Energy Dissipation Rate by Battjes and Janssen Formula

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

Energy Dissipation Rate by Battjes and Janssen calculator uses Energy Dissipation Rate per unit Surface Area = 0.25*Water Density*[g]*Percentage of Waves Breaking*Mean Wave Frequency*(Maximum Wave Height^2) to calculate the Energy Dissipation Rate per unit Surface Area, The Energy Dissipation Rate by Battjes and Janssen formula is defined as the parameter used to determine the amount of energy lost by the viscous forces in the turbulent flow. Energy Dissipation Rate per unit Surface Area is denoted by δ symbol.

How to calculate Energy Dissipation Rate by Battjes and Janssen using this online calculator? To use this online calculator for Energy Dissipation Rate by Battjes and Janssen, enter Water Density (ρ_water), Percentage of Waves Breaking (Q_B), Mean Wave Frequency (f_m) & Maximum Wave Height (H_max) and hit the calculate button. Here is how the Energy Dissipation Rate by Battjes and Janssen calculation can be explained with given input values -> 19221.03 = 0.25*1000*[g]*2*8*(0.7^2).

FAQ

What is Energy Dissipation Rate by Battjes and Janssen?

The Energy Dissipation Rate by Battjes and Janssen formula is defined as the parameter used to determine the amount of energy lost by the viscous forces in the turbulent flow and is represented as δ = 0.25*ρ_water*[g]*Q_B*f_m*(H_max^2) or Energy Dissipation Rate per unit Surface Area = 0.25*Water Density*[g]*Percentage of Waves Breaking*Mean Wave Frequency*(Maximum Wave Height^2). 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 & Maximum Wave Height is most probable influenced by the difference between the elevations of a crest and a neighboring trough.

How to calculate Energy Dissipation Rate by Battjes and Janssen?

The Energy Dissipation Rate by Battjes and Janssen formula is defined as the parameter used to determine the amount of energy lost by the viscous forces in the turbulent flow is calculated using Energy Dissipation Rate per unit Surface Area = 0.25*Water Density*[g]*Percentage of Waves Breaking*Mean Wave Frequency*(Maximum Wave Height^2). To calculate Energy Dissipation Rate by Battjes and Janssen, you need Water Density (ρ_water), Percentage of Waves Breaking (Q_B), Mean Wave Frequency (f_m) & Maximum Wave Height (H_max). With our tool, you need to enter the respective value for Water Density, Percentage of Waves Breaking, Mean Wave Frequency & Maximum Wave Height 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 Energy Dissipation Rate per unit Surface Area?

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

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

Home

FREE PDFs

🔍 Search