Deepwater Wavelength Calculator

✖Group Velocity for Deep Water is the speed at which a group of waves travels through deep water, crucial for understanding how energy and momentum are transferred within wave groups.ⓘ Group Velocity for Deep Water [Vg_deep]			+10% -10%
✖Wave Period is the time it takes for one complete wave cycle to pass a fixed point. It affects wave energy, with longer periods indicating more energy and potential for erosion.ⓘ Wave Period [P]			+10% -10%

✖Deep Water Wavelength refers to the distance between successive wave crests (or troughs) in deep water, where the water depth is greater than half the wavelength.ⓘ Deepwater Wavelength [λ_o]

⎘ Copy

👎

Formula

✖

Deepwater Wavelength

Formula

`"λ"_{"o"} = ("Vg"_{"deep"}*"P")/0.5`

Example

`"0.34196m"=("0.166m/s"*"1.03")/0.5`

Calculator

LaTeX

Reset

👍

Download Water Wave Mechanics Formula PDF PDF Image

Deepwater Wavelength Solution

STEP 0: Pre-Calculation Summary

Formula Used

Deep Water Wavelength = (Group Velocity for Deep Water*Wave Period)/0.5
λ_o = (Vg_deep*P)/0.5
This formula uses 3 Variables

Variables Used

Deep Water Wavelength - (Measured in Meter) - Deep Water Wavelength refers to the distance between successive wave crests (or troughs) in deep water, where the water depth is greater than half the wavelength.
Group Velocity for Deep Water - (Measured in Meter per Second) - Group Velocity for Deep Water is the speed at which a group of waves travels through deep water, crucial for understanding how energy and momentum are transferred within wave groups.
Wave Period - Wave Period is the time it takes for one complete wave cycle to pass a fixed point. It affects wave energy, with longer periods indicating more energy and potential for erosion.

STEP 1: Convert Input(s) to Base Unit

Group Velocity for Deep Water: 0.166 Meter per Second --> 0.166 Meter per Second No Conversion Required
Wave Period: 1.03 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

λ_o = (Vg_deep*P)/0.5 --> (0.166*1.03)/0.5

Evaluating ... ...

λ_o = 0.34196

STEP 3: Convert Result to Output's Unit

0.34196 Meter --> No Conversion Required

FINAL ANSWER

0.34196 Meter <-- Deep Water Wavelength

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Coastal and Ocean Engineering » Water Wave Mechanics » Subsurface Pressure » Group Velocity » Deepwater Wavelength

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!

< 8 Group Velocity Calculators

Group Velocity of Wave given Wavelength and Wave Period

Go Group Velocity for Shallow Water = 0.5*(Wavelength/Wave Period)*(1+(4*pi*Water Depth/Wavelength)/(sinh(4*pi*Water Depth/Wavelength)))

Group Velocity for Deepwater

Go Group Velocity for Deep Water = 0.5*(Deep Water Wavelength/Surf Zone Wave Period)

Deepwater Wavelength

Go Deep Water Wavelength = (Group Velocity for Deep Water*Wave Period)/0.5

Wavelength given Group Velocity of Shallow Water

Go Wavelength = Group Velocity for Shallow Water*Annual Wave Period

Wave Period given Group Velocity for Shallow Water

Go Wave Period = Wavelength/Group Velocity for Shallow Water

Group Velocity for Shallow Water

Go Group Velocity for Shallow Water = Wavelength/Wave Period

Group Velocity given Deepwater Celerity

Go Group Velocity for Deep Water = 0.5*Deep Water Wave Celerity

Deepwater Celerity

Go Deep Water Wave Celerity = Group Velocity for Deep Water/0.5

Deepwater Wavelength Formula

Deep Water Wavelength = (Group Velocity for Deep Water*Wave Period)/0.5
λ_o = (Vg_deep*P)/0.5

What is Group Velocity?

Group Velocity of a wave is the velocity with which the overall envelope shape of the wave's amplitudes known as the modulation or envelope of the wave propagates through space.

How to Calculate Deepwater Wavelength?

Deepwater Wavelength calculator uses Deep Water Wavelength = (Group Velocity for Deep Water*Wave Period)/0.5 to calculate the Deep Water Wavelength, The Deepwater Wavelength Formula is defined as the distance between successive crests (or troughs) of a wave when it is traveling in deep water, where the depth is greater than half the wavelength, understanding the deep-water wavelength is crucial for predicting how waves will behave as they approach the shore and interact with the seabed. Deep Water Wavelength is denoted by λ_o symbol.

How to calculate Deepwater Wavelength using this online calculator? To use this online calculator for Deepwater Wavelength, enter Group Velocity for Deep Water (Vg_deep) & Wave Period (P) and hit the calculate button. Here is how the Deepwater Wavelength calculation can be explained with given input values -> 0.34196 = (0.166*1.03)/0.5.

FAQ

What is Deepwater Wavelength?

The Deepwater Wavelength Formula is defined as the distance between successive crests (or troughs) of a wave when it is traveling in deep water, where the depth is greater than half the wavelength, understanding the deep-water wavelength is crucial for predicting how waves will behave as they approach the shore and interact with the seabed and is represented as λ_o = (Vg_deep*P)/0.5 or Deep Water Wavelength = (Group Velocity for Deep Water*Wave Period)/0.5. Group Velocity for Deep Water is the speed at which a group of waves travels through deep water, crucial for understanding how energy and momentum are transferred within wave groups & Wave Period is the time it takes for one complete wave cycle to pass a fixed point. It affects wave energy, with longer periods indicating more energy and potential for erosion.

How to calculate Deepwater Wavelength?

The Deepwater Wavelength Formula is defined as the distance between successive crests (or troughs) of a wave when it is traveling in deep water, where the depth is greater than half the wavelength, understanding the deep-water wavelength is crucial for predicting how waves will behave as they approach the shore and interact with the seabed is calculated using Deep Water Wavelength = (Group Velocity for Deep Water*Wave Period)/0.5. To calculate Deepwater Wavelength, you need Group Velocity for Deep Water (Vg_deep) & Wave Period (P). With our tool, you need to enter the respective value for Group Velocity for Deep Water & Wave Period and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search