Tidal Prism For Non-Sinusoidal Character Of Prototype Flow By Keulegan Calculator

Formula Used:

\[ P = \frac{T \times Q_{max}}{\pi \times C} \]

Tidal Prism Filling Bay:

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1. What is the Tidal Prism Calculation?

The Tidal Prism calculation using Keulegan's formula estimates the volume of water in an estuary or inlet between mean high tide and mean low tide, or the volume of water leaving an estuary at ebb tide, accounting for non-sinusoidal flow characteristics.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ P = \frac{T \times Q_{max}}{\pi \times C} \]

Where:

\( P \) — Tidal Prism Filling Bay (m³)
\( T \) — Tidal Duration (Year)
\( Q_{max} \) — Maximum Instantaneous Ebb Tide Discharge (m³/s)
\( C \) — Keulegan Constant for Non-sinusoidal Character
\( \pi \) — Archimedes' constant (approximately 3.1416)

Explanation: This formula accounts for the non-sinusoidal character of prototype flow using Keulegan's constant, providing a more accurate estimation of tidal prism volume.

3. Importance of Tidal Prism Calculation

Details: Accurate tidal prism calculation is crucial for coastal engineering, estuary management, sediment transport studies, and understanding tidal hydrodynamics in non-sinusoidal flow conditions.

4. Using the Calculator

Tips: Enter tidal duration in years, maximum instantaneous ebb tide discharge in m³/s, and Keulegan constant. All values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of Keulegan constant?
A: The Keulegan constant accounts for non-sinusoidal flow characteristics and drag force effects in tidal calculations, improving accuracy for real-world tidal conditions.

Q2: How is tidal duration typically measured?
A: Tidal duration is usually measured as the time period between consecutive high or low tides, typically around 12 hours and 25 minutes for semi-diurnal tides.

Q3: What factors affect maximum ebb tide discharge?
A: Channel geometry, tidal range, bottom friction, and meteorological conditions all influence maximum ebb tide discharge values.

Q4: When is this formula most applicable?
A: This formula is particularly useful for estuaries and inlets with pronounced non-sinusoidal tidal characteristics and significant ebb tide dominance.

Q5: Are there limitations to this equation?
A: The formula assumes constant Keulegan constant and may be less accurate in extremely shallow waters or areas with complex topography.