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Wind Speed Given Fully Developed Wave Height Calculator

Formula Used:

\[ U = \sqrt{\frac{H_{\infty} \cdot g}{\lambda}} \]

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1. What is the Wind Speed Calculation Formula?

The formula calculates wind speed based on fully developed wave height and a dimensionless constant. It demonstrates the relationship between wind energy and wave development in marine environments.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ U = \sqrt{\frac{H_{\infty} \cdot g}{\lambda}} \]

Where:

Explanation: The formula calculates wind speed required to generate waves of a specific height, considering gravitational forces and empirical constants.

3. Importance of Wind Speed Calculation

Details: Accurate wind speed estimation is crucial for marine navigation, offshore operations, coastal engineering, and understanding wave energy transfer mechanisms.

4. Using the Calculator

Tips: Enter fully developed wave height in meters and dimensionless constant. Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is fully developed wave height?
A: Fully developed wave height refers to the maximum wave height that can be generated by a wind of constant speed blowing over a sufficiently long fetch and duration.

Q2: What is the typical range for dimensionless constant?
A: The dimensionless constant typically ranges between 0.8-1.6, depending on specific wave development conditions and empirical studies.

Q3: How accurate is this calculation?
A: The calculation provides a theoretical estimate. Actual wind speeds may vary due to factors like fetch length, wind duration, and water depth.

Q4: Can this be used for all water bodies?
A: The formula works best for deep water conditions. For shallow water, additional corrections may be needed.

Q5: What are typical wind speeds for wave generation?
A: Wind speeds between 5-25 m/s typically generate waves from small ripples to large swells, depending on duration and fetch.

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