1. What is the Incident Wave Height Formula?

The formula calculates the incident wave height based on wave length in deepwater, the angle of the sloped plane with the horizontal, and the Iribarren number. It's used in coastal engineering to model wave behavior on beaches and coastal structures.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( H_i \) — Incident Wave Height (m)
• \( L_o \) — Incident Wave Length in Deepwater (m)
• \( \alpha \) — Angle Sloped Plane forms with the Horizontal (rad)
• \( I_r \) — Surf Similarity Number or Iribarren Number

Explanation: The formula relates wave height to wave length, slope angle, and the Iribarren number which characterizes wave breaking behavior.

3. Importance of Incident Wave Height Calculation

Details: Accurate wave height estimation is crucial for coastal structure design, beach erosion studies, and predicting wave impact on shorelines.

4. Using the Calculator

Tips: Enter wave length in meters, angle in radians, and Iribarren number. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the Iribarren number?
A: The Iribarren number is a dimensionless parameter used to characterize wave breaking on beaches and coastal structures.

Q2: What are typical values for the Iribarren number?
A: Typically ranges from 0.1 to 10, with lower values indicating spilling breakers and higher values indicating plunging or surging breakers.

Q3: Why is the angle measured in radians?
A: Trigonometric functions in mathematical formulas typically use radians as the standard unit for angle measurement.

Q4: What are the limitations of this formula?
A: The formula assumes certain wave conditions and may not be accurate for all coastal environments or extreme wave events.

Q5: How is this formula used in coastal engineering?
A: It helps engineers design coastal structures, predict wave run-up, and assess wave impact on shorelines.