Home
Back
Deepwater Celerity Formula:
| From: | To: |
Deep Water Wave Celerity refers to the speed at which a wave travels through deep water, where the water depth is greater than half the wavelength. It represents the phase speed of waves in deep water conditions.
The calculator uses the Deepwater Celerity formula:
Where:
Explanation: The formula calculates the deep water wave celerity by dividing the group velocity for deep water by 0.5, establishing the relationship between group velocity and phase velocity in deep water conditions.
Details: Deep water wave celerity is crucial for understanding wave propagation in oceanography, coastal engineering, and marine navigation. It helps predict wave behavior, energy transfer, and impacts on marine structures and vessels.
Tips: Enter the group velocity for deep water in meters per second (m/s). The value must be positive and greater than zero for accurate calculation.
Q1: What is the difference between group velocity and phase velocity?
A: Group velocity represents the speed at which wave energy propagates, while phase velocity (celerity) is the speed at which individual wave crests move through the water.
Q2: Why is the constant 0.5 used in the formula?
A: In deep water conditions, the group velocity is exactly half of the phase velocity, hence the division by 0.5 to convert between the two.
Q3: What are typical values for deep water wave celerity?
A: Deep water wave celerity varies significantly based on wave period, ranging from a few meters per second for short-period waves to over 20 m/s for long-period swells.
Q4: When does the deep water approximation apply?
A: The deep water approximation applies when the water depth is greater than half the wavelength (d > L/2), where wave motion is not significantly affected by the bottom.
Q5: How does wave celerity affect wave energy?
A: Wave celerity directly influences wave energy transport, as wave energy propagates at the group velocity, which is related to the phase velocity through this formula.