Maximum Cross-Sectionally Averaged Velocity Given Tidal Prism Of Non-Sinusoidal Prototype Flow Calculator

Formula Used:

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

Tidal Prism Filling Bay (P):

m³

Keulegan Constant for Non-sinusoidal Character (C):

Tidal Duration (T):

years

Average Area over the Channel Length (A_avg):

m²

Maximum Cross Sectional Average Velocity (V_m):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Maximum Cross-Sectionally Averaged Velocity?

Maximum Cross-Sectionally Averaged Velocity during a tidal cycle is the periodic rise and fall of the waters of the ocean and its inlets. It represents the highest average flow velocity across a channel cross-section during tidal variations.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

\( V_m \) — Maximum Cross Sectional Average Velocity (m/s)
\( P \) — Tidal Prism Filling Bay (m³)
\( \pi \) — Archimedes' constant (≈3.14159)
\( C \) — Keulegan Constant for Non-sinusoidal Character
\( T \) — Tidal Duration (years)
\( A_{avg} \) — Average Area over the Channel Length (m²)

Explanation: This formula calculates the maximum average velocity across a channel cross-section during tidal cycles, accounting for non-sinusoidal flow characteristics through the Keulegan constant.

3. Importance of Velocity Calculation

Details: Accurate velocity estimation is crucial for coastal engineering, sediment transport studies, navigation channel design, and understanding tidal energy potential in estuaries and inlets.

4. Using the Calculator

Tips: Enter tidal prism in cubic meters, Keulegan constant (dimensionless), tidal duration in years, and average channel area in square meters. 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 quantifies drag force on structures exposed to irregular water flow, aiding design considerations for coastal structures.

Q3: Why use tidal duration 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, though conversion to seconds may be needed for specific applications.

Q4: How is Average Area over Channel Length determined?
A: Average Area is calculated with surface area of bay, change of bay elevation with time and average velocity in channel for flow.

Q5: What are typical values for Maximum Cross Sectional Average Velocity?
A: Values vary widely depending on location and tidal range, typically ranging from 0.1-2.0 m/s in most estuaries and tidal channels.