Wave Height Given Minor Vertical Semi-Axis For Shallow Water Condition Calculator

Wave Height Given Minor Vertical Semi-Axis For Shallow Water Condition Formula:

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

Height of the Wave (Hw):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is the Wave Height Given Minor Vertical Semi-Axis For Shallow Water Condition Formula?

The Wave Height Given Minor Vertical Semi-Axis For Shallow Water Condition formula calculates the height of a wave based on vertical semi-axis, sea bed elevation, and water depth for semi-axis of ellipse. This formula is particularly useful in shallow water wave analysis and coastal engineering applications.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

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

Explanation: The formula calculates wave height by considering the vertical semi-axis of the wave and adjusting for the effects of sea bed elevation relative to water depth in shallow water conditions.

3. Importance of Wave Height Calculation

Details: Accurate wave height estimation is crucial for coastal engineering, marine navigation, offshore structure design, and understanding wave behavior in shallow water environments.

4. Using the Calculator

Tips: Enter vertical semi-axis in meters, sea bed elevation in meters, and water depth for semi-axis of ellipse in meters. All values must be valid (B > 0, ds > 0).

5. Frequently Asked Questions (FAQ)

Q1: What is vertical semi-axis in wave analysis?
A: Vertical semi-axis refers to half the vertical extent of an elliptical wave orbit, representing the maximum vertical displacement of water particles in wave motion.

Q2: How does sea bed elevation affect wave height?
A: Sea bed elevation influences wave height through shoaling effects - as waves approach shallower water, their height typically increases due to energy conservation.

Q3: What constitutes shallow water conditions?
A: Shallow water conditions typically refer to water depths less than half the wavelength, where wave characteristics are significantly affected by the sea bottom.

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

Q5: How is this formula used in practical applications?
A: This formula is used in coastal engineering for designing breakwaters, calculating wave loads on structures, and predicting wave behavior in harbor and coastal areas.