Wave Phase Velocity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Wave Phase Velocity = sqrt(([g]/Wave Number for Water Wave)*tanh(Wave Number for Water Wave*Water Depth))
Cv = sqrt(([g]/k)*tanh(k*D))
This formula uses 1 Constants, 2 Functions, 3 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)
tanh - The hyperbolic tangent function (tanh) is a function that is defined as the ratio of the hyperbolic sine function (sinh) to the hyperbolic cosine function (cosh)., tanh(Number)
Variables Used
Wave Phase Velocity - (Measured in Meter per Second) - Wave Phase Velocity is the rate at which the wave propagates in some medium.
Wave Number for Water Wave - The wave number for water waves quantifies the number of waves per unit length along the surface of the water.
Water Depth - (Measured in Meter) - Water depth means the depth as measured from the water level to the bottom of the considered water body.
STEP 1: Convert Input(s) to Base Unit
Wave Number for Water Wave: 0.2 --> No Conversion Required
Water Depth: 12 Meter --> 12 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Cv = sqrt(([g]/k)*tanh(k*D)) --> sqrt(([g]/0.2)*tanh(0.2*12))
Evaluating ... ...
Cv = 6.94498201696798
STEP 3: Convert Result to Output's Unit
6.94498201696798 Meter per Second --> No Conversion Required
FINAL ANSWER
6.94498201696798 6.944982 Meter per Second <-- Wave Phase Velocity
(Calculation completed in 00.004 seconds)

Credits

Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
Mithila Muthamma PA has created this Calculator and 2000+ more calculators!
Verified by Chandana P Dev
NSS College of Engineering (NSSCE), Palakkad
Chandana P Dev has verified this Calculator and 1700+ more calculators!

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))
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 = 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
Power per unit Crest Length
Go Power Per Unit Crest Length = Wave Energy Per Unit Surface Area*Wave Group Speed
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

Wave Phase Velocity Formula

Wave Phase Velocity = sqrt(([g]/Wave Number for Water Wave)*tanh(Wave Number for Water Wave*Water Depth))
Cv = sqrt(([g]/k)*tanh(k*D))

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 Wave Phase Velocity?

Wave Phase Velocity calculator uses Wave Phase Velocity = sqrt(([g]/Wave Number for Water Wave)*tanh(Wave Number for Water Wave*Water Depth)) to calculate the Wave Phase Velocity, The Wave Phase Velocity is defined as the rate at which the wave propagates in some medium. This is the velocity at which the phase of any one frequency component of the wave travels. Wave Phase Velocity is denoted by Cv symbol.

How to calculate Wave Phase Velocity using this online calculator? To use this online calculator for Wave Phase Velocity, enter Wave Number for Water Wave (k) & Water Depth (D) and hit the calculate button. Here is how the Wave Phase Velocity calculation can be explained with given input values -> 6.944982 = sqrt(([g]/0.2)*tanh(0.2*12)).

FAQ

What is Wave Phase Velocity?
The Wave Phase Velocity is defined as the rate at which the wave propagates in some medium. This is the velocity at which the phase of any one frequency component of the wave travels and is represented as Cv = sqrt(([g]/k)*tanh(k*D)) or Wave Phase Velocity = sqrt(([g]/Wave Number for Water Wave)*tanh(Wave Number for Water Wave*Water Depth)). The wave number for water waves quantifies the number of waves per unit length along the surface of the water & Water depth means the depth as measured from the water level to the bottom of the considered water body.
How to calculate Wave Phase Velocity?
The Wave Phase Velocity is defined as the rate at which the wave propagates in some medium. This is the velocity at which the phase of any one frequency component of the wave travels is calculated using Wave Phase Velocity = sqrt(([g]/Wave Number for Water Wave)*tanh(Wave Number for Water Wave*Water Depth)). To calculate Wave Phase Velocity, you need Wave Number for Water Wave (k) & Water Depth (D). With our tool, you need to enter the respective value for Wave Number for Water Wave & Water Depth 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 Wave Phase Velocity?
In this formula, Wave Phase Velocity uses Wave Number for Water Wave & Water Depth. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Wave Phase Velocity = Wavelength/Mean Wave Period
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!