Group Wave Celerity for Power per unit Crest Length Calculator

✖Power Per Unit Crest Length refers to the amount of wave energy that impacts a given length of a coastal structure's crest. Understanding it, is crucial for designing and evaluating coastal defenses.ⓘ Power Per Unit Crest Length [P]			+10% -10%
✖Wave Energy Per Unit Surface Area referred to as wave energy density, measures the amount of energy carried by ocean waves over a specific area.ⓘ Wave Energy Per Unit Surface Area [E]			+10% -10%

✖Wave Group Speed in Coastal Eng. is the velocity at which the envelope of a wave group or wave packet travels. It is distinct from the phase speed.ⓘ Group Wave Celerity for Power per unit Crest Length [C_G]

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Group Wave Celerity for Power per unit Crest Length

Formula

`"C"_{"G"} = "P"/"E"`

Example

`"2.5m/s"="50W"/"20J/m²"`

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Group Wave Celerity for Power per unit Crest Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wave Group Speed in Coastal Eng. = Power Per Unit Crest Length/Wave Energy Per Unit Surface Area
C_G = P/E
This formula uses 3 Variables

Variables Used

Wave Group Speed in Coastal Eng. - (Measured in Meter per Second) - Wave Group Speed in Coastal Eng. is the velocity at which the envelope of a wave group or wave packet travels. It is distinct from the phase speed.
Power Per Unit Crest Length - (Measured in Watt) - Power Per Unit Crest Length refers to the amount of wave energy that impacts a given length of a coastal structure's crest. Understanding it, is crucial for designing and evaluating coastal defenses.
Wave Energy Per Unit Surface Area - (Measured in Joule per Square Meter) - Wave Energy Per Unit Surface Area referred to as wave energy density, measures the amount of energy carried by ocean waves over a specific area.

STEP 1: Convert Input(s) to Base Unit

Power Per Unit Crest Length: 50 Watt --> 50 Watt No Conversion Required
Wave Energy Per Unit Surface Area: 20 Joule per Square Meter --> 20 Joule per Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_G = P/E --> 50/20

Evaluating ... ...

C_G = 2.5

STEP 3: Convert Result to Output's Unit

2.5 Meter per Second --> No Conversion Required

FINAL ANSWER

2.5 Meter per Second <-- Wave Group Speed in Coastal Eng.

(Calculation completed in 00.020 seconds)

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< 9 Wave Power Calculators

Wave Phase Velocity

Go Wave Phase Velocity = sqrt(([g]/Wave Number for Water Wave)*tanh(Wave Number for Water Wave*Water Depth of Coast))

Wave Celerity given Power per unit Crest Length

Go Celerity of the Wave = Power Per Unit Crest Length/(Wave Energy Per Unit Surface Area*Ratio of Group Velocity to Phase Velocity)

Power per unit Crest Length given Ratio of Group Velocity to Phase Velocity

Go Power Per Unit Crest Length = Wave Energy Per Unit Surface Area*Ratio of Group Velocity to Phase Velocity*Celerity of the Wave

Group Wave Celerity for Power per unit Crest Length

Go Wave Group Speed in Coastal Eng. = Power Per Unit Crest Length/Wave Energy Per Unit Surface Area

Wave Energy for Power per unit Crest Length

Go Wave Energy Per Unit Surface Area = Power Per Unit Crest Length/Wave Group Speed in Coastal Eng.

Power per unit Crest Length

Go Power Per Unit Crest Length = Wave Energy Per Unit Surface Area*Wave Group Speed in Coastal Eng.

Wave Phase Velocity for Wavelength and Wave Period

Go Wave Phase Velocity = Wavelength/Mean Wave Period

Wavelength given Certain Wave Phase Velocity

Go Wavelength = Wave Phase Velocity*Mean Wave Period

Wave Period for Certain Wave Phase Velocity

Go Mean Wave Period = Wavelength/Wave Phase Velocity

Group Wave Celerity for Power per unit Crest Length Formula

Wave Group Speed in Coastal Eng. = Power Per Unit Crest Length/Wave Energy Per Unit Surface Area
C_G = P/E

What is Wave Energy?

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 Wave Celerity?

The speed at which an individual wave advances or “propagates” is known as the wave celerity. For a deepwater wave the celerity is directly proportional to the wave period, T.

How to Calculate Group Wave Celerity for Power per unit Crest Length?

Group Wave Celerity for Power per unit Crest Length calculator uses Wave Group Speed in Coastal Eng. = Power Per Unit Crest Length/Wave Energy Per Unit Surface Area to calculate the Wave Group Speed in Coastal Eng., The Group Wave Celerity for Power per unit Crest Length Formula is defined as the rate at which wave energy travels across the ocean surface, measured in meters per second per meter of crest length. This metric combines the concept of group velocity, which represents the speed at which wave packets travel, with the power of waves relative to their crest length. Wave Group Speed in Coastal Eng. is denoted by C_G symbol.

How to calculate Group Wave Celerity for Power per unit Crest Length using this online calculator? To use this online calculator for Group Wave Celerity for Power per unit Crest Length, enter Power Per Unit Crest Length (P) & Wave Energy Per Unit Surface Area (E) and hit the calculate button. Here is how the Group Wave Celerity for Power per unit Crest Length calculation can be explained with given input values -> 2.5 = 50/20.

FAQ

What is Group Wave Celerity for Power per unit Crest Length?

The Group Wave Celerity for Power per unit Crest Length Formula is defined as the rate at which wave energy travels across the ocean surface, measured in meters per second per meter of crest length. This metric combines the concept of group velocity, which represents the speed at which wave packets travel, with the power of waves relative to their crest length and is represented as C_G = P/E or Wave Group Speed in Coastal Eng. = Power Per Unit Crest Length/Wave Energy Per Unit Surface Area. Power Per Unit Crest Length refers to the amount of wave energy that impacts a given length of a coastal structure's crest. Understanding it, is crucial for designing and evaluating coastal defenses & Wave Energy Per Unit Surface Area referred to as wave energy density, measures the amount of energy carried by ocean waves over a specific area.

How to calculate Group Wave Celerity for Power per unit Crest Length?

The Group Wave Celerity for Power per unit Crest Length Formula is defined as the rate at which wave energy travels across the ocean surface, measured in meters per second per meter of crest length. This metric combines the concept of group velocity, which represents the speed at which wave packets travel, with the power of waves relative to their crest length is calculated using Wave Group Speed in Coastal Eng. = Power Per Unit Crest Length/Wave Energy Per Unit Surface Area. To calculate Group Wave Celerity for Power per unit Crest Length, you need Power Per Unit Crest Length (P) & Wave Energy Per Unit Surface Area (E). With our tool, you need to enter the respective value for Power Per Unit Crest Length & Wave Energy 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.

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