Group Velocity for Deepwater Calculator

✖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.ⓘ Deep Water Wavelength [λ_o]			+10% -10%
✖Surf Zone Wave Period refers to the time interval between successive wave crests (or troughs) as they break in the surf zone. The surf zone is the area near the shore.ⓘ Surf Zone Wave Period [P_sz]			+10% -10%

✖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 Deepwater [Vg_deep]

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Formula

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Group Velocity for Deepwater

Formula

Vg deep = 0.5 \cdot (\frac{λ o}{P sz})

Example

0.167157 m/s = 0.5 \cdot (\frac{0.341 m}{1.02})

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Group Velocity for Deepwater Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
Surf Zone Wave Period - Surf Zone Wave Period refers to the time interval between successive wave crests (or troughs) as they break in the surf zone. The surf zone is the area near the shore.

STEP 1: Convert Input(s) to Base Unit

Deep Water Wavelength: 0.341 Meter --> 0.341 Meter No Conversion Required
Surf Zone Wave Period: 1.02 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Vg_deep = 0.5*(λ_o/P_sz) --> 0.5*(0.341/1.02)

Evaluating ... ...

Vg_deep = 0.167156862745098

STEP 3: Convert Result to Output's Unit

0.167156862745098 Meter per Second --> No Conversion Required

FINAL ANSWER

0.167156862745098 ≈ 0.167157 Meter per Second <-- Group Velocity for Deep Water

(Calculation completed in 00.004 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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NSS College of Engineering (NSSCE), Palakkad

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< 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

Deepwater Celerity

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

Group Velocity for Deepwater Formula

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

What is Wavelength?

Wavelength, distance between corresponding points of two consecutive waves. “Corresponding points” refers to two points or particles in the same phase—i.e., points that have completed identical fractions of their periodic motion.

How to Calculate Group Velocity for Deepwater?

Group Velocity for Deepwater calculator uses Group Velocity for Deep Water = 0.5*(Deep Water Wavelength/Surf Zone Wave Period) to calculate the Group Velocity for Deep Water, The Group Velocity for Deepwater Formula is defined as the speed at which the energy or information of a wave group travels through the water. In deep water waves (where the water depth is greater than half the wavelength), the group velocity is typically half the phase velocity (the speed at which individual wave crests move). Group Velocity for Deep Water is denoted by Vg_deep symbol.

How to calculate Group Velocity for Deepwater using this online calculator? To use this online calculator for Group Velocity for Deepwater, enter Deep Water Wavelength (λ_o) & Surf Zone Wave Period (P_sz) and hit the calculate button. Here is how the Group Velocity for Deepwater calculation can be explained with given input values -> 0.001059 = 0.5*(0.341/1.02).

FAQ

What is Group Velocity for Deepwater?

The Group Velocity for Deepwater Formula is defined as the speed at which the energy or information of a wave group travels through the water. In deep water waves (where the water depth is greater than half the wavelength), the group velocity is typically half the phase velocity (the speed at which individual wave crests move) and is represented as Vg_deep = 0.5*(λ_o/P_sz) or Group Velocity for Deep Water = 0.5*(Deep Water Wavelength/Surf Zone Wave Period). 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 & Surf Zone Wave Period refers to the time interval between successive wave crests (or troughs) as they break in the surf zone. The surf zone is the area near the shore.

How to calculate Group Velocity for Deepwater?

The Group Velocity for Deepwater Formula is defined as the speed at which the energy or information of a wave group travels through the water. In deep water waves (where the water depth is greater than half the wavelength), the group velocity is typically half the phase velocity (the speed at which individual wave crests move) is calculated using Group Velocity for Deep Water = 0.5*(Deep Water Wavelength/Surf Zone Wave Period). To calculate Group Velocity for Deepwater, you need Deep Water Wavelength (λ_o) & Surf Zone Wave Period (P_sz). With our tool, you need to enter the respective value for Deep Water Wavelength & Surf Zone Wave Period 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 Group Velocity for Deep Water?

In this formula, Group Velocity for Deep Water uses Deep Water Wavelength & Surf Zone Wave Period. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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