Wave Height in Deepwater for Total Littoral Transport in Breaker Zone in Cubic Meter per Year Calculator

Formula Used:

\[ H_o = \sqrt{\frac{S'}{(0.44 \times 10^6) \times C_o \times K_r^2 \times \sin(\phi_{br}) \times \cos(\phi_{br})}} \]

Total Littoral Transport (S'):

m³/year

Deepwater Wave Celerity (Cₒ):

m/s

Refraction Coefficient (Kᵣ):

Angle of Wave Incidence (φ):

degrees

Wave Height in Deep Water (Hₒ):

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1. What is Wave Height in Deep Water Calculation?

The wave height in deep water calculation estimates the vertical distance between wave crest and trough based on total littoral transport, wave celerity, refraction coefficient, and wave incidence angle. This is essential for coastal engineering and sediment transport studies.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ H_o = \sqrt{\frac{S'}{(0.44 \times 10^6) \times C_o \times K_r^2 \times \sin(\phi_{br}) \times \cos(\phi_{br})}} \]

Where:

\( H_o \) — Wave height in deep water (m)
\( S' \) — Total littoral transport (m³/year)
\( C_o \) — Deepwater wave celerity (m/s)
\( K_r \) — Refraction coefficient
\( \phi_{br} \) — Angle of wave incidence (radians)

Explanation: The formula calculates wave height based on sediment transport characteristics and wave properties in the breaker zone.

3. Importance of Wave Height Calculation

Details: Accurate wave height estimation is crucial for coastal protection design, beach nourishment projects, and understanding sediment transport patterns along coastlines.

4. Using the Calculator

Tips: Enter total littoral transport in m³/year, wave celerity in m/s, refraction coefficient, and wave incidence angle in degrees. All values must be positive and valid.

5. Frequently Asked Questions (FAQ)

Q1: What is littoral transport?
A: Littoral transport refers to the movement of sediments along the shoreline caused by wave action and currents.

Q2: Why is refraction coefficient important?
A: The refraction coefficient accounts for how waves change direction and speed as they approach shallow water, affecting wave energy distribution.

Q3: What are typical wave height values?
A: Wave heights vary significantly but typically range from 0.5-5 meters in coastal areas, with larger waves occurring during storms.

Q4: How accurate is this calculation?
A: The calculation provides an estimate based on empirical relationships and should be used with field measurements for precise engineering applications.

Q5: Can this be used for all coastal environments?
A: The formula works best for sandy coastlines with relatively uniform sediment characteristics and may need adjustments for rocky or muddy coasts.