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))
Hmax = sqrt(δ/(0.25*ρwater*[g]*QB*fm))
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 that 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 due to Wave Breaking.
Water Density - (Measured in Kilogram per Cubic Meter) - Water Density is mass per unit of water.
Percentage of Waves Breaking - Percentage of Waves Breaking to calculate energy dissipation rate is 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 for energy dissipation.
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
Hmax = sqrt(δ/(0.25*ρwater*[g]*QB*fm)) --> sqrt(19221/(0.25*1000*[g]*2*8))
Evaluating ... ...
Hmax = 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 00.020 seconds)

Credits

Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
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13 Energy Flux Method Calculators

Energy Dissipation Rate per unit Surface Area due to Wave Breaking
Go Energy Dissipation = (Decay Coefficient in Coastal Engi./Water Depth of Coast)*((Wave Energy Per Unit Surface Area*Wave Group Speed in Coastal Eng.)-(Energy Flux associated with Stable Wave Height))
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))
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 associated with Stable Wave Height = Wave Energy*Wave Group Speed in Coastal Eng.
Stable Wave Height
Go Height of Wave = 0.4*Water Depth of Coast
Water Depth given Stable Wave Height
Go Water Depth = Stable Wave Height/0.4

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))
Hmax = sqrt(δ/(0.25*ρwater*[g]*QB*fm))

What is Breaking Wave?

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 that causes large amounts of wave energy to be transformed into turbulent kinetic energy.

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 is defined as the surface wave is the difference between the elevations of a crest and a neighboring trough. Wave height is a term used by mariners, as well as in coastal, ocean and naval engineering. Maximum Wave Height is denoted by Hmax 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 water), Percentage of Waves Breaking (QB) & Mean Wave Frequency (fm) 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 is defined as the surface wave is the difference between the elevations of a crest and a neighboring trough. Wave height is a term used by mariners, as well as in coastal, ocean and naval engineering and is represented as Hmax = sqrt(δ/(0.25*ρwater*[g]*QB*fm)) 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 due to Wave Breaking, Water Density is mass per unit of water, Percentage of Waves Breaking to calculate energy dissipation rate is a wave whose amplitude reaches a critical level at which some process can suddenly start to occur & Mean Wave Frequency for energy dissipation.
How to calculate Maximum Wave Height given Energy Dissipation Rate?
The Maximum Wave Height given Energy Dissipation Rate is defined as the surface wave is the difference between the elevations of a crest and a neighboring trough. Wave height is a term used by mariners, as well as in coastal, ocean and naval engineering 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 water), Percentage of Waves Breaking (QB) & Mean Wave Frequency (fm). 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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