Tidal Period Using King's Dimensionless Variable Calculator

Formula Used:

\[ T = \frac{Qr' \times 2\pi \times a_o \times A_b}{Qr} \]

King’s Dimensionless Variable for Freshwater (Qr'):

Ocean Tide Amplitude (a_o):

Surface Area of Bay (A_b):

m²

River or Freshwater Inflow to a Bay (Qr):

m³/s

Tidal Period (T):

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1. What is the Tidal Period Formula?

The Tidal Period formula calculates the time taken for a specific site on Earth to rotate from an exact point under the moon to the same point under the moon. It uses King's Dimensionless Variable to characterize flow patterns in freshwater environments.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ T = \frac{Qr' \times 2\pi \times a_o \times A_b}{Qr} \]

Where:

\( T \) — Tidal Period (seconds)
\( Qr' \) — King's Dimensionless Variable for Freshwater
\( a_o \) — Ocean Tide Amplitude (meters)
\( A_b \) — Surface Area of Bay (square meters)
\( Qr \) — River or Freshwater Inflow to a Bay (cubic meters per second)

Explanation: The formula calculates tidal period by considering freshwater flow characteristics, ocean tide amplitude, bay surface area, and freshwater inflow rate.

3. Importance of Tidal Period Calculation

Details: Accurate tidal period calculation is crucial for coastal engineering, navigation planning, ecosystem studies, and understanding coastal sediment transport patterns.

4. Using the Calculator

Tips: Enter all required values with appropriate units. King's Dimensionless Variable, ocean tide amplitude, surface area, and freshwater inflow must all be positive values for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is King's Dimensionless Variable for Freshwater?
A: It's a metric used in fluid dynamics to characterize flow patterns in freshwater environments succinctly, accounting for various hydrodynamic factors.

Q2: How is ocean tide amplitude measured?
A: Ocean tide amplitude is typically measured as the height difference between high and low tides using tide gauges or satellite altimetry.

Q3: What factors affect the surface area of a bay?
A: Bay surface area can vary with tidal cycles, seasonal water level changes, and geological processes like sedimentation or erosion.

Q4: How does freshwater inflow affect tidal period?
A: Increased freshwater inflow typically reduces the tidal period by increasing the flushing rate and altering the hydrodynamic balance in the bay.

Q5: What are typical tidal period values?
A: Tidal periods typically range from several hours to about 12-13 hours for semi-diurnal tides, and around 24 hours for diurnal tides.