Average Area Over Channel Length Given Tidal Prism Of Non-Sinusoidal Prototype Flow Calculator

Formula Used:

\[ A_{avg} = \frac{P \times \pi \times C}{T \times V_m} \]

Tidal Prism Filling Bay (P):

m³

Keulegan Constant for Non-sinusoidal Character (C):

Tidal Duration (T):

years

Maximum Cross Sectional Average Velocity (Vm):

m/s

Average Area over the Channel Length (Aavg):

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1. What is the Average Area over Channel Length?

Average Area over the Channel Length is calculated with surface area of bay, change of bay elevation with time and average velocity in channel for flow. It represents the cross-sectional area averaged along the channel length.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ A_{avg} = \frac{P \times \pi \times C}{T \times V_m} \]

Where:

\( P \) — Tidal Prism Filling Bay (m³)
\( C \) — Keulegan Constant for Non-sinusoidal Character
\( T \) — Tidal Duration (years)
\( V_m \) — Maximum Cross Sectional Average Velocity (m/s)
\( \pi \) — Archimedes' constant (≈3.1416)

Explanation: This formula calculates the average cross-sectional area over the channel length based on tidal prism characteristics and flow velocity.

3. Importance of Average Area Calculation

Details: Calculating the average area over channel length is crucial for understanding tidal flow dynamics, sediment transport, and designing coastal structures. It helps in predicting water movement and erosion patterns in tidal channels.

4. Using the Calculator

Tips: Enter tidal prism in cubic meters, Keulegan constant (dimensionless), tidal duration in years, and maximum velocity in m/s. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is Tidal Prism Filling Bay?
A: Tidal Prism Filling Bay is 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.

Q2: What is Keulegan Constant for Non-sinusoidal Character?
A: Keulegan Constant for Non-sinusoidal Character quantifies drag force on structures exposed to irregular water flow, aiding design considerations.

Q3: Why is tidal duration measured in years?
A: Tidal duration is an efficient way of guesstimating how much water there is, at any given time of day, over a particular point, and using years as a unit provides consistency with other hydrological calculations.

Q4: What affects the Maximum Cross Sectional Average Velocity?
A: The maximum velocity during a tidal cycle is influenced by channel geometry, tidal range, and bottom friction characteristics.

Q5: What are typical values for these parameters?
A: Values vary significantly based on location and tidal characteristics. Tidal prism can range from thousands to millions of cubic meters, while velocities typically range from 0.5-2.5 m/s in natural channels.