Total Energy per unit of Area given Wave Power per unit Crest Width Calculator

✖Wave Power Per Unit Crest Width represents the amount of power carried by a wave per unit width of its crest.ⓘ Wave Power Per Unit Crest Width [P]			+10% -10%
✖The Group Velocity of Waves is the velocity with which the overall envelope shape of the wave's amplitudes; known as the modulation.ⓘ Group Velocity of Waves [V_g]			+10% -10%

✖Total Energy Per Unit Area referred to simply as wave energy density or wave power density, is a crucial parameter in understanding the energy carried by ocean waves.ⓘ Total Energy per unit of Area given Wave Power per unit Crest Width [E]

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Formula

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Total Energy per unit of Area given Wave Power per unit Crest Width

Formula

`"E" = "P"/"V"_{"g"}`

Example

`"4.18702J"="120W"/"28.66m/s"`

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Total Energy per unit of Area given Wave Power per unit Crest Width Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Energy Per Unit Area = Wave Power Per Unit Crest Width/Group Velocity of Waves
E = P/V_g
This formula uses 3 Variables

Variables Used

Total Energy Per Unit Area - (Measured in Joule) - Total Energy Per Unit Area referred to simply as wave energy density or wave power density, is a crucial parameter in understanding the energy carried by ocean waves.
Wave Power Per Unit Crest Width - (Measured in Watt) - Wave Power Per Unit Crest Width represents the amount of power carried by a wave per unit width of its crest.
Group Velocity of Waves - (Measured in Meter per Second) - The Group Velocity of Waves is the velocity with which the overall envelope shape of the wave's amplitudes; known as the modulation.

STEP 1: Convert Input(s) to Base Unit

Wave Power Per Unit Crest Width: 120 Watt --> 120 Watt No Conversion Required
Group Velocity of Waves: 28.66 Meter per Second --> 28.66 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E = P/V_g --> 120/28.66

Evaluating ... ...

E = 4.18702023726448

STEP 3: Convert Result to Output's Unit

4.18702023726448 Joule --> No Conversion Required

FINAL ANSWER

4.18702023726448 ≈ 4.18702 Joule <-- Total Energy Per Unit Area

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Coastal and Ocean Engineering » Surface Gravity Waves » Group Velocity, Beats, Energy Transport » Total Energy per unit of Area given Wave Power per unit Crest Width

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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National Institute of Technology (NIT), Warangal

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< 9 Group Velocity, Beats, Energy Transport Calculators

Wave Speed given Group Velocity

Go Wave Speed = Group Velocity of Waves/(0.5*(1+((Wave Number for Water Wave*Coastal Mean Depth)/(sinh(Wave Number for Water Wave*Coastal Mean Depth)*cosh(Wave Number for Water Wave*Coastal Mean Depth)))))

Group Velocity of Waves

Go Group Velocity of Waves = 0.5*Wave Speed*(1+((Wave Number for Water Wave*Coastal Mean Depth)/(sinh(Wave Number for Water Wave*Coastal Mean Depth)*cosh(Wave Number for Water Wave*Coastal Mean Depth))))

Surface Elevation

Go Surface Elevation = (Wave Height for Surface Gravity Waves/2)*cos((Wave Number for Water Wave*Propagation of Wave in One Direction)-(Wave Angular Frequency*Time))

Radian Frequency given Wave Propagation

Go Wave Angular Frequency = Wave Number for Water Wave*Propagation of Wave in One Direction

Total Energy per unit of Area given Wave Power per unit Crest Width

Go Total Energy Per Unit Area = Wave Power Per Unit Crest Width/Group Velocity of Waves

Group Velocity given Wave Power per unit Crest Width

Go Group Velocity of Waves = Wave Power Per Unit Crest Width/Total Energy Per Unit Area

Wave Power per unit Crest Width

Go Wave Power Per Unit Crest Width = Total Energy Per Unit Area*Group Velocity of Waves

Wavenumber given Wave Speed

Go Wave Number = Wave Angular Frequency/Wave Speed

Wave Speed

Go Wave Speed = Wave Angular Frequency/Wave Number

Total Energy per unit of Area given Wave Power per unit Crest Width Formula

Total Energy Per Unit Area = Wave Power Per Unit Crest Width/Group Velocity of Waves
E = P/V_g

What is Wave Power and How does it Work?

Wave power is produced by the up and down motion of floating devices placed on the surface of the ocean. In other words, wind produces waves, and then waves produce energy. As the waves travel across the ocean, high-tech devices capture the natural movements of ocean currents and the flow of swells to generate power.

How to Calculate Total Energy per unit of Area given Wave Power per unit Crest Width?

Total Energy per unit of Area given Wave Power per unit Crest Width calculator uses Total Energy Per Unit Area = Wave Power Per Unit Crest Width/Group Velocity of Waves to calculate the Total Energy Per Unit Area, The Total Energy per unit of Area given Wave Power per unit Crest Width is defined as the combination of advection (transport) of potential and kinetic energy plus work done by pressures per unit width. Total Energy Per Unit Area is denoted by E symbol.

How to calculate Total Energy per unit of Area given Wave Power per unit Crest Width using this online calculator? To use this online calculator for Total Energy per unit of Area given Wave Power per unit Crest Width, enter Wave Power Per Unit Crest Width (P) & Group Velocity of Waves (V_g) and hit the calculate button. Here is how the Total Energy per unit of Area given Wave Power per unit Crest Width calculation can be explained with given input values -> 4.18702 = 120/28.66.

FAQ

What is Total Energy per unit of Area given Wave Power per unit Crest Width?

The Total Energy per unit of Area given Wave Power per unit Crest Width is defined as the combination of advection (transport) of potential and kinetic energy plus work done by pressures per unit width and is represented as E = P/V_g or Total Energy Per Unit Area = Wave Power Per Unit Crest Width/Group Velocity of Waves. Wave Power Per Unit Crest Width represents the amount of power carried by a wave per unit width of its crest & The Group Velocity of Waves is the velocity with which the overall envelope shape of the wave's amplitudes; known as the modulation.

How to calculate Total Energy per unit of Area given Wave Power per unit Crest Width?

The Total Energy per unit of Area given Wave Power per unit Crest Width is defined as the combination of advection (transport) of potential and kinetic energy plus work done by pressures per unit width is calculated using Total Energy Per Unit Area = Wave Power Per Unit Crest Width/Group Velocity of Waves. To calculate Total Energy per unit of Area given Wave Power per unit Crest Width, you need Wave Power Per Unit Crest Width (P) & Group Velocity of Waves (V_g). With our tool, you need to enter the respective value for Wave Power Per Unit Crest Width & Group Velocity of Waves 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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