Minor Vertical Semi Axis For Shallow Water Condition Calculator

Formula Used:

\[ B = \frac{Hw}{2} \times \left(1 + \frac{Z}{ds}\right) \]

Height of the Wave (Hw):

Sea Bed Elevation (Z):

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

Minor Vertical Semi Axis (B):

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1. What is Minor Vertical Semi Axis?

The Minor Vertical Semi Axis refers to a geometric property of an object or structure in shallow water conditions, particularly related to wave characteristics and sea bed elevation.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ B = \frac{Hw}{2} \times \left(1 + \frac{Z}{ds}\right) \]

Where:

\( B \) — Minor Vertical Semi Axis (m)
\( Hw \) — Height of the Wave (m)
\( Z \) — Sea Bed Elevation (m)
\( ds \) — Water Depth for Semi-Axis of Ellipse (m)

Explanation: This formula calculates the minor vertical semi-axis for shallow water conditions by considering wave height, sea bed elevation, and water depth.

3. Importance of Minor Vertical Semi Axis Calculation

Details: Accurate calculation of minor vertical semi-axis is crucial for coastal engineering, wave analysis, and understanding wave behavior in shallow water conditions.

4. Using the Calculator

Tips: Enter wave height in meters, sea bed elevation in meters, and water depth in meters. All values must be valid (wave height > 0, water depth > 0).

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of minor vertical semi-axis in wave analysis?
A: The minor vertical semi-axis helps characterize wave geometry and behavior in shallow water conditions, which is important for coastal engineering and marine operations.

Q2: How does sea bed elevation affect the minor vertical semi-axis?
A: Sea bed elevation directly influences the calculation, with higher elevations generally resulting in larger minor vertical semi-axis values for the same wave height and water depth.

Q3: What are typical values for minor vertical semi-axis?
A: Values vary significantly depending on wave conditions, water depth, and sea bed characteristics. There's no fixed "normal" range as it's highly context-dependent.

Q4: Are there limitations to this calculation?
A: This formula is specifically designed for shallow water conditions and may not be accurate for deep water waves or extreme sea bed configurations.

Q5: Can this calculation be used for engineering design?
A: While useful for preliminary analysis, professional engineering designs should incorporate more comprehensive wave models and site-specific data.