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Breaker Height Index Calculator

Breaker Height Index Formula:

\[ \Omega_b = \frac{H_b}{\lambda_o} \]

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1. What is the Breaker Height Index?

The Breaker Height Index is the ratio of wave height and still water depth at the shore face location where waves start breaking. It provides a dimensionless parameter that characterizes wave breaking conditions in coastal engineering.

2. How Does the Calculator Work?

The calculator uses the Breaker Height Index formula:

\[ \Omega_b = \frac{H_b}{\lambda_o} \]

Where:

Explanation: The equation calculates the ratio between the wave height at the breaking point and the deep-water wavelength, providing a measure of wave breaking intensity.

3. Importance of Breaker Height Index Calculation

Details: Accurate Breaker Height Index calculation is crucial for coastal engineering, shoreline protection design, sediment transport studies, and predicting wave behavior in nearshore environments.

4. Using the Calculator

Tips: Enter wave height at incipient breaking in meters and deep-water wavelength in meters. Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is the typical range of Breaker Height Index values?
A: Breaker Height Index typically ranges from 0.1 to 0.8, with higher values indicating more intense wave breaking conditions.

Q2: How is Wave Height at Incipient Breaking measured?
A: It is typically measured through field observations, laboratory experiments, or calculated using wave transformation models.

Q3: What factors influence the Breaker Height Index?
A: Beach slope, wave period, water depth, and bottom topography are key factors that influence the Breaker Height Index.

Q4: How is Deep-Water Wavelength determined?
A: Deep-water wavelength is calculated from the wave period using the relationship \( \lambda_o = \frac{gT^2}{2\pi} \), where g is gravity and T is wave period.

Q5: What are the practical applications of Breaker Height Index?
A: It is used in coastal structure design, beach erosion studies, surf zone dynamics analysis, and recreational water safety assessments.

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