Cross-Shore Component Of Cross-Shore Directed Radiation Stress Calculator

Coastal Cross-Shore Component Formula:

\[ Sxx' = \frac{3}{16} \times \rho_{water} \times g \times d \times H^2 \]

Cross-Shore Component (Sxx'):

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1. What is Cross-Shore Component of Radiation Stress?

The Cross-Shore Component of Cross-Shore directed Radiation Stress refers to the cumulative movement of beach and nearshore sand perpendicular to the shore by the combined action of tides, wind and waves. It represents the excess momentum flux due to wave motion in the cross-shore direction.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ Sxx' = \frac{3}{16} \times \rho_{water} \times g \times d \times H^2 \]

Where:

\( \rho_{water} \) — Water density (kg/m³)
\( g \) — Gravitational acceleration (9.80665 m/s²)
\( d \) — Water depth (m)
\( H \) — Wave height (m)

Explanation: This formula calculates the cross-shore component of radiation stress, which is proportional to water density, gravitational acceleration, water depth, and the square of wave height.

3. Importance of Cross-Shore Component Calculation

Details: Accurate calculation of cross-shore radiation stress is crucial for understanding coastal sediment transport, beach erosion patterns, and designing coastal protection structures. It helps predict how waves affect shoreline changes.

4. Using the Calculator

Tips: Enter water density in kg/m³ (typically 1000 for fresh water, 1025 for sea water), water depth in meters, and wave height in meters. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is radiation stress in coastal engineering?
A: Radiation stress is the excess momentum flux due to wave motion, which drives nearshore currents and sediment transport in coastal environments.

Q2: Why is the cross-shore component important?
A: The cross-shore component specifically affects beach profile changes, bar formation, and overall shoreline stability perpendicular to the coast.

Q3: What are typical values for water density?
A: Fresh water density is approximately 1000 kg/m³, while sea water density ranges from 1020-1030 kg/m³ depending on salinity and temperature.

Q4: How does wave height affect the cross-shore component?
A: The cross-shore component increases with the square of wave height, meaning that larger waves have a significantly greater impact on coastal processes.

Q5: What are the limitations of this formula?
A: This formula assumes linear wave theory and may not accurately represent extreme wave conditions or complex bathymetry situations.