✖Wave Number for Water Wave is the spatial frequency of the wave, representing the number of wave cycles per unit distance. Understanding the wave number is crucial for designing seawalls etc.ⓘ Wave Number for Water Wave [k]			+10% -10%
✖Water Depth of Coast is the measurement of the distance from the ocean surface to the seabed in coastal areas. It varies from shallow depths near the shore to deeper areas offshore.ⓘ Water Depth of Coast [D]			+10% -10%

✖Wave Phase Velocity is the speed at which a wave crest or trough moves through the water. It is defined as the distance a wave crest travels per unit of time.ⓘ Wave Phase Velocity [C_v]

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Formula

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Wave Phase Velocity

Formula

`"C"_{"v"} = sqrt(("[g]"/"k")*tanh("k"*"D"))`

Example

`"6.944982m/s"=sqrt(("[g]"/"0.2")*tanh("0.2"*"12m"))`

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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 of Coast))
C_v = 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 speed at which a wave crest or trough moves through the water. It is defined as the distance a wave crest travels per unit of time.
Wave Number for Water Wave - Wave Number for Water Wave is the spatial frequency of the wave, representing the number of wave cycles per unit distance. Understanding the wave number is crucial for designing seawalls etc.
Water Depth of Coast - (Measured in Meter) - Water Depth of Coast is the measurement of the distance from the ocean surface to the seabed in coastal areas. It varies from shallow depths near the shore to deeper areas offshore.

STEP 1: Convert Input(s) to Base Unit

Wave Number for Water Wave: 0.2 --> No Conversion Required
Water Depth of Coast: 12 Meter --> 12 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_v = sqrt(([g]/k)*tanh(k*D)) --> sqrt(([g]/0.2)*tanh(0.2*12))

Evaluating ... ...

C_v = 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 00.007 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

Wave Phase Velocity Formula

Wave Phase Velocity = sqrt(([g]/Wave Number for Water Wave)*tanh(Wave Number for Water Wave*Water Depth of Coast))
C_v = 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 of Coast)) to calculate the Wave Phase Velocity, The Wave Phase Velocity Formula is defined as the speed at which a specific phase of a wave propagates through a medium. In coastal engineering, understanding wave phase velocity is crucial for various reasons. Firstly, it helps in predicting the movement of waves as they approach and interact with coastal structures such as breakwaters, seawalls, and harbors. By knowing the phase velocity, engineers can design these structures to withstand the forces exerted by waves effectively. Wave Phase Velocity is denoted by C_v 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 of Coast (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 Formula is defined as the speed at which a specific phase of a wave propagates through a medium. In coastal engineering, understanding wave phase velocity is crucial for various reasons. Firstly, it helps in predicting the movement of waves as they approach and interact with coastal structures such as breakwaters, seawalls, and harbors. By knowing the phase velocity, engineers can design these structures to withstand the forces exerted by waves effectively and is represented as C_v = 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 of Coast)). Wave Number for Water Wave is the spatial frequency of the wave, representing the number of wave cycles per unit distance. Understanding the wave number is crucial for designing seawalls etc & Water Depth of Coast is the measurement of the distance from the ocean surface to the seabed in coastal areas. It varies from shallow depths near the shore to deeper areas offshore.

How to calculate Wave Phase Velocity?

The Wave Phase Velocity Formula is defined as the speed at which a specific phase of a wave propagates through a medium. In coastal engineering, understanding wave phase velocity is crucial for various reasons. Firstly, it helps in predicting the movement of waves as they approach and interact with coastal structures such as breakwaters, seawalls, and harbors. By knowing the phase velocity, engineers can design these structures to withstand the forces exerted by waves effectively is calculated using Wave Phase Velocity = sqrt(([g]/Wave Number for Water Wave)*tanh(Wave Number for Water Wave*Water Depth of Coast)). To calculate Wave Phase Velocity, you need Wave Number for Water Wave (k) & Water Depth of Coast (D). With our tool, you need to enter the respective value for Wave Number for Water Wave & Water Depth of Coast 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 of Coast. We can use 1 other way(s) to calculate the same, which is/are as follows -

Wave Phase Velocity = Wavelength/Mean Wave Period

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