Length of Basin for Open Rectangular Basin Calculator

Formula Used:

\[ Length\ of\ the\ Basin = Natural\ Free\ Oscillating\ Period\ of\ a\ Basin \times (1 + (2 \times Number\ of\ Nodes\ along\ the\ Axis\ of\ a\ Basin)) \times \sqrt{[g] \times Water\ Depth} / 4 \]

Length of the Basin:

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1. What is the Length of Basin for Open Rectangular Basin?

The Length of Basin for Open Rectangular Basin calculation determines the longest dimension of a basin parallel to its principal drainage channel, considering the natural oscillating period, number of nodes, and water depth.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ lB = Tn \times (1 + (2 \times N)) \times \sqrt{[g] \times D} / 4 \]

Where:

\( lB \) — Length of the Basin (m)
\( Tn \) — Natural Free Oscillating Period of a Basin (s)
\( N \) — Number of Nodes along the Axis of a Basin
\( [g] \) — Gravitational acceleration (9.80665 m/s²)
\( D \) — Water Depth (m)

Explanation: This formula calculates the basin length based on the natural oscillation period, number of nodes along the basin axis, and water depth, incorporating gravitational acceleration.

3. Importance of Basin Length Calculation

Details: Accurate basin length calculation is crucial for hydraulic engineering, coastal management, and understanding wave behavior in open rectangular basins. It helps in designing appropriate coastal structures and predicting water movement patterns.

4. Using the Calculator

Tips: Enter the natural free oscillating period in seconds, number of nodes along the axis (can be decimal), and water depth in meters. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the natural free oscillating period of a basin?
A: The natural free oscillating period refers to the time it takes for a wave to travel from one end of the basin to the other and back again, representing the basin's resonant period.

Q2: What are nodes along the axis of a basin?
A: Nodes are specific points along the central axis of the basin where the water surface experiences minimal vertical movement during oscillation.

Q3: Why is gravitational acceleration included in the formula?
A: Gravitational acceleration affects wave propagation speed in water, which is crucial for determining the basin's oscillating characteristics.

Q4: What types of basins does this formula apply to?
A: This formula is specifically designed for open rectangular basins with uniform depth and simple geometry.

Q5: How accurate is this calculation for real-world applications?
A: While providing a good theoretical estimate, real-world applications may require adjustments for factors like basin shape variations, bottom friction, and complex boundary conditions.