Group Velocity for Shallow Water Calculator

✖Wavelength is the distance between successive peaks or troughs of a wave. It is crucial in understanding the behavior of waves, particularly in relation to subsurface pressure.ⓘ Wavelength [λ]			+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%

✖Group Velocity for Shallow Water is the speed at which a group of waves travels through shallow water, crucial for understanding how energy and momentum are transferred within wave groups.ⓘ Group Velocity for Shallow Water [Vg_shallow]

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Group Velocity for Shallow Water Solution

STEP 0: Pre-Calculation Summary

Formula Used

Group Velocity for Shallow Water = Wavelength/Wave Period
Vg_shallow = λ/P
This formula uses 3 Variables

Variables Used

Group Velocity for Shallow Water - (Measured in Meter per Second) - Group Velocity for Shallow Water is the speed at which a group of waves travels through shallow water, crucial for understanding how energy and momentum are transferred within wave groups.
Wavelength - (Measured in Meter) - Wavelength is the distance between successive peaks or troughs of a wave. It is crucial in understanding the behavior of waves, particularly in relation to subsurface pressure.
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

Wavelength: 26.8 Meter --> 26.8 Meter No Conversion Required
Wave Period: 1.03 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Vg_shallow = λ/P --> 26.8/1.03

Evaluating ... ...

Vg_shallow = 26.0194174757282

STEP 3: Convert Result to Output's Unit

26.0194174757282 Meter per Second --> No Conversion Required

FINAL ANSWER

26.0194174757282 ≈ 26.01942 Meter per Second <-- Group Velocity for Shallow 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

LaTeX 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

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

Deepwater Wavelength

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

Deepwater Celerity

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

Group Velocity for Shallow Water Formula

LaTeX Go

Group Velocity for Shallow Water = Wavelength/Wave Period
Vg_shallow = λ/P

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 Shallow Water?

Group Velocity for Shallow Water calculator uses Group Velocity for Shallow Water = Wavelength/Wave Period to calculate the Group Velocity for Shallow Water, The Group Velocity for Shallow Water Formula is defined as the speed at which the envelope of wave groups moves through the water. It's distinct from phase velocity, which is the speed at which individual wave crests propagate. In shallow water, where waves interact with the sea floor, the group velocity can differ significantly from the phase velocity due to wave dispersion effects. Group Velocity for Shallow Water is denoted by Vg_shallow symbol.

How to calculate Group Velocity for Shallow Water using this online calculator? To use this online calculator for Group Velocity for Shallow Water, enter Wavelength (λ) & Wave Period (P) and hit the calculate button. Here is how the Group Velocity for Shallow Water calculation can be explained with given input values -> 26.01942 = 26.8/1.03.

FAQ

What is Group Velocity for Shallow Water?

The Group Velocity for Shallow Water Formula is defined as the speed at which the envelope of wave groups moves through the water. It's distinct from phase velocity, which is the speed at which individual wave crests propagate. In shallow water, where waves interact with the sea floor, the group velocity can differ significantly from the phase velocity due to wave dispersion effects and is represented as Vg_shallow = λ/P or Group Velocity for Shallow Water = Wavelength/Wave Period. Wavelength is the distance between successive peaks or troughs of a wave. It is crucial in understanding the behavior of waves, particularly in relation to subsurface pressure & 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 Group Velocity for Shallow Water?

The Group Velocity for Shallow Water Formula is defined as the speed at which the envelope of wave groups moves through the water. It's distinct from phase velocity, which is the speed at which individual wave crests propagate. In shallow water, where waves interact with the sea floor, the group velocity can differ significantly from the phase velocity due to wave dispersion effects is calculated using Group Velocity for Shallow Water = Wavelength/Wave Period. To calculate Group Velocity for Shallow Water, you need Wavelength (λ) & Wave Period (P). With our tool, you need to enter the respective value for Wavelength & 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 Shallow Water?

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

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

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