Wavelength For Major Horizontal Semi Axis For Shallow Water Condition Calculator

Formula Used:

\[ L = \frac{4 \pi d_s A}{H_w} \]

Water Depth for Semi-Axis of Ellipse (d_s):

Horizontal Semi-axis of Water Particle (A):

Height of the Wave (H_w):

Length of Water Wave (L):

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1. What is the Wavelength For Major Horizontal Semi Axis For Shallow Water Condition?

The Wavelength For Major Horizontal Semi Axis For Shallow Water Condition calculates the horizontal distance between corresponding points on two successive waves in shallow water conditions, considering the elliptical motion of water particles.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ L = \frac{4 \pi d_s A}{H_w} \]

Where:

\( L \) — Length of Water Wave (m)
\( d_s \) — Water Depth for Semi-Axis of Ellipse (m)
\( A \) — Horizontal Semi-axis of Water Particle (m)
\( H_w \) — Height of the Wave (m)
\( \pi \) — Archimedes' constant (approximately 3.1416)

Explanation: This formula calculates the wavelength in shallow water conditions where water particle motion becomes elliptical rather than circular.

3. Importance of Wavelength Calculation

Details: Accurate wavelength calculation is crucial for coastal engineering, wave energy estimation, sediment transport studies, and designing marine structures in shallow water environments.

4. Using the Calculator

Tips: Enter water depth in meters, horizontal semi-axis in meters, and wave height in meters. All values must be positive and greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between shallow water and deep water waves?
A: Shallow water waves occur when water depth is less than half the wavelength, causing elliptical particle motion. Deep water waves have circular particle motion.

Q2: How does water depth affect wavelength?
A: In shallow water, wavelength decreases with decreasing water depth, and wave speed becomes dependent on depth rather than period.

Q3: What practical applications use this calculation?
A: Coastal engineering projects, harbor design, beach erosion studies, and offshore structure design all require accurate wavelength calculations.

Q4: Are there limitations to this formula?
A: This formula is specifically for shallow water conditions and assumes regular wave patterns and uniform water depth.

Q5: How does wave height affect wavelength?
A: In this formula, wavelength is inversely proportional to wave height, meaning higher waves typically result in shorter wavelengths for given conditions.