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)
fm = δ/(0.25*ρwater*[g]*QB*Hmax^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 for energy dissipation.
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.
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.
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
fm = δ/(0.25*ρwater*[g]*QB*Hmax^2) --> 19221/(0.25*1000*[g]*2*0.7^2)
Evaluating ... ...
fm = 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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Coorg Institute of Technology (CIT), Coorg
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13 Energy Flux Method Calculators

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

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)
fm = δ/(0.25*ρwater*[g]*QB*Hmax^2)

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 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 is 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 fm 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 water), Percentage of Waves Breaking (QB) & Maximum Wave Height (Hmax) 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 is 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 fm = δ/(0.25*ρwater*[g]*QB*Hmax^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 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 & Maximum Wave Height that 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 is 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 water), Percentage of Waves Breaking (QB) & Maximum Wave Height (Hmax). 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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