Ratio of Group Velocity to phase Velocity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Ratio of Group Velocity to Phase Velocity = Power Per Unit Crest Length/(Wave Energy Per Unit Surface Area*Celerity of the Wave)
n = P/(E*C)
This formula uses 4 Variables
Variables Used
Ratio of Group Velocity to Phase Velocity - Ratio of Group Velocity to Phase Velocity, When group velocity increases, proportionately phase velocity will also increase.
Power Per Unit Crest Length - (Measured in Watt) - Power Per Unit Crest Length is the capture of energy of wind waves to do useful work.
Wave Energy Per Unit Surface Area - (Measured in Joule per Square Meter) - Wave Energy Per Unit Surface Area is the ratio of power per unit crest length to wave group speed.
Celerity of the Wave - (Measured in Meter per Second) - Celerity of the Wave is the addition to the normal water velocity of the channels.
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
Celerity of the Wave: 10 Meter per Second --> 10 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
n = P/(E*C) --> 50/(20*10)
Evaluating ... ...
n = 0.25
STEP 3: Convert Result to Output's Unit
0.25 --> No Conversion Required
FINAL ANSWER
0.25 <-- Ratio of Group Velocity to Phase Velocity
(Calculation completed in 00.004 seconds)

Credits

Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
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15 Wave Energy Calculators

Wave Height given Total Wave Energy in one Wavelength per unit Crest Width
Go Wave Height = sqrt(8*Total Wave Energy/(Mass Density*[g]*Wavelength))
Wave Energy for Ratio of Group Velocity to phase Velocity
Go Wave Energy Per Unit Surface Area = Power Per Unit Crest Length/(Ratio of Group Velocity to Phase Velocity*Celerity of the Wave)
Ratio of Group Velocity to phase Velocity
Go Ratio of Group Velocity to Phase Velocity = Power Per Unit Crest Length/(Wave Energy Per Unit Surface Area*Celerity of the Wave)
Wavelength for total wave energy in wavelength per unit crest width
Go Wavelength = 8*Total Wave Energy/(Mass Density*[g]*Wave Height^2)
Total Wave Energy in one Wavelength per unit Crest Width
Go Total Wave Energy = (Mass Density*[g]*Wave Height^2*Wavelength)/8
Specific Energy or Energy Density in terms Wave Height
Go Energy Density = (Mass Density*[g]*Wave Height^2)/8
Deepwater Celerity for Wave Power of Deepwater
Go Deepwater Wave Celerity = Wave Power per unit Crest Width/(0.5*Total Wave Energy)
Total Wave Energy for Wave Power of Deepwater
Go Total Wave Energy = Wave Power per unit Crest Width/(0.5*Deepwater Wave Celerity)
Wave Power for Deepwater
Go Wave Power per unit Crest Width = 0.5*Total Wave Energy*Deepwater Wave Celerity
Total Wave Energy given Wave Power for Shallow Water
Go Total Wave Energy = Wave Power per unit Crest Width/Celerity of the Wave
Wave Celerity given Wave Power for Shallow Water
Go Celerity of the Wave = Wave Power per unit Crest Width/Total Wave Energy
Wave Power for Shallow Water
Go Wave Power per unit Crest Width = Total Wave Energy*Celerity of the Wave
Total Wave Energy given Kinetic Energy and Potential Energy
Go Total Wave Energy = Kinetic Energy+Potential Energy
Potential Energy given Total Wave Energy
Go Potential Energy = Total Wave Energy-Kinetic Energy
Specific energy or energy density given wavelength and wave energy
Go Energy Density = Total Wave Energy/Wavelength

Ratio of Group Velocity to phase Velocity Formula

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

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.

How to Calculate Ratio of Group Velocity to phase Velocity?

Ratio of Group Velocity to phase Velocity calculator uses Ratio of Group Velocity to Phase Velocity = Power Per Unit Crest Length/(Wave Energy Per Unit Surface Area*Celerity of the Wave) to calculate the Ratio of Group Velocity to Phase Velocity, The Ratio of Group Velocity to phase Velocity when Wave Energy is given, When group velocity increases, proportionately phase velocity will also increase. When phase velocity increases, proportionately group velocity will also increase. Ratio of Group Velocity to Phase Velocity is denoted by n symbol.

How to calculate Ratio of Group Velocity to phase Velocity using this online calculator? To use this online calculator for Ratio of Group Velocity to phase Velocity, enter Power Per Unit Crest Length (P), Wave Energy Per Unit Surface Area (E) & Celerity of the Wave (C) and hit the calculate button. Here is how the Ratio of Group Velocity to phase Velocity calculation can be explained with given input values -> 0.25 = 50/(20*10).

FAQ

What is Ratio of Group Velocity to phase Velocity?
The Ratio of Group Velocity to phase Velocity when Wave Energy is given, When group velocity increases, proportionately phase velocity will also increase. When phase velocity increases, proportionately group velocity will also increase and is represented as n = P/(E*C) or Ratio of Group Velocity to Phase Velocity = Power Per Unit Crest Length/(Wave Energy Per Unit Surface Area*Celerity of the Wave). Power Per Unit Crest Length is the capture of energy of wind waves to do useful work, Wave Energy Per Unit Surface Area is the ratio of power per unit crest length to wave group speed & Celerity of the Wave is the addition to the normal water velocity of the channels.
How to calculate Ratio of Group Velocity to phase Velocity?
The Ratio of Group Velocity to phase Velocity when Wave Energy is given, When group velocity increases, proportionately phase velocity will also increase. When phase velocity increases, proportionately group velocity will also increase is calculated using Ratio of Group Velocity to Phase Velocity = Power Per Unit Crest Length/(Wave Energy Per Unit Surface Area*Celerity of the Wave). To calculate Ratio of Group Velocity to phase Velocity, you need Power Per Unit Crest Length (P), Wave Energy Per Unit Surface Area (E) & Celerity of the Wave (C). With our tool, you need to enter the respective value for Power Per Unit Crest Length, Wave Energy Per Unit Surface Area & Celerity of the Wave 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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