Maximum Instantaneous Ebb Tide Discharge Per Unit Width Calculator

Maximum Instantaneous Ebb Tide Discharge Formula:

\[ Q_{max} = \left( \frac{E_{\Delta T} \cdot (3\pi \cdot d_{OB}^2 \cdot d_{NC}^2)}{4T \cdot (d_{NC}^2 - d_{OB}^2)} \right)^{1/3} \]

Change in Mean Ebb Tide Flow Energy Flux (E_ΔT):

W/m²

Natural Depth of Ocean Bar (d_OB):

Depth of Navigation Channel (d_NC):

Tidal Period (T):

Maximum Instantaneous Ebb Tide Discharge (Q_max):

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1. What is Maximum Instantaneous Ebb Tide Discharge?

Maximum Instantaneous Ebb Tide Discharge per unit width represents the peak flow rate during the ebbing tidal phase when water levels are falling. This measurement is crucial for understanding tidal dynamics and coastal engineering applications.

2. How Does the Calculator Work?

The calculator uses the following formula:

\[ Q_{max} = \left( \frac{E_{\Delta T} \cdot (3\pi \cdot d_{OB}^2 \cdot d_{NC}^2)}{4T \cdot (d_{NC}^2 - d_{OB}^2)} \right)^{1/3} \]

Where:

\( Q_{max} \) — Maximum instantaneous ebb tide discharge (m³/s)
\( E_{\Delta T} \) — Change in mean ebb tide flow energy flux (W/m²)
\( d_{OB} \) — Natural depth of ocean bar (m)
\( d_{NC} \) — Depth of navigation channel (m)
\( T \) — Tidal period (s)
\( \pi \) — Mathematical constant pi (approximately 3.14159)

Explanation: This formula calculates the maximum discharge during ebb tide by considering energy flux changes and the geometric relationship between natural ocean bar depth and navigation channel depth.

3. Importance of Ebb Tide Discharge Calculation

Details: Accurate calculation of maximum ebb tide discharge is essential for coastal engineering, navigation channel design, sediment transport studies, and understanding tidal energy potential in coastal areas.

4. Using the Calculator

Tips: Enter all values in appropriate units. Ensure that navigation channel depth is greater than natural ocean bar depth to avoid mathematical errors. All input values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between ebb tide and flood tide discharge?
A: Ebb tide discharge occurs during falling water levels, while flood tide discharge occurs during rising water levels. The dynamics and maximum values can differ significantly between these two phases.

Q2: Why is the navigation channel depth important in this calculation?
A: The navigation channel depth affects the cross-sectional area available for water flow, significantly influencing the maximum discharge capacity during tidal movements.

Q3: What factors affect the change in mean ebb tide flow energy flux?
A: Energy flux changes are influenced by tidal range, bottom friction, channel geometry, and meteorological conditions such as wind and atmospheric pressure.

Q4: How does tidal period affect maximum discharge?
A: Longer tidal periods generally allow for more gradual water movement, while shorter periods may result in higher instantaneous discharge rates due to more rapid water level changes.

Q5: What are typical values for maximum ebb tide discharge?
A: Values vary widely depending on location and tidal conditions, ranging from less than 1 m³/s in small estuaries to hundreds of m³/s in major tidal channels and inlets.