Width Of Section Given Perimeter Calculator

Formula Used:

\[ B_{rect} = P_{rect} - 2 \times D_f \]

Width of Section of Rect Channel (B_rect):

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1. What is the Width of Section Given Perimeter Formula?

The formula calculates the width of a rectangular channel section when the wetted perimeter and depth of flow are known. This is essential in hydraulic engineering for determining channel dimensions and flow characteristics.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ B_{rect} = P_{rect} - 2 \times D_f \]

Where:

\( B_{rect} \) — Width of Section of Rect Channel (m)
\( P_{rect} \) — Wetted Perimeter of Rectangle (m)
\( D_f \) — Depth of Flow of Channel (m)

Explanation: The formula calculates the channel width by subtracting twice the flow depth from the total wetted perimeter, accounting for both side walls of the rectangular channel.

3. Importance of Channel Width Calculation

Details: Accurate width calculation is crucial for hydraulic design, flow capacity determination, and ensuring proper channel dimensions for efficient water conveyance in irrigation, drainage, and water supply systems.

4. Using the Calculator

Tips: Enter wetted perimeter and depth of flow in meters. Both values must be positive numbers. The calculator will compute the width of the rectangular channel section.

5. Frequently Asked Questions (FAQ)

Q1: What is wetted perimeter?
A: Wetted perimeter is the length of the channel boundary that is in contact with the flowing water.

Q2: Why is depth of flow important in this calculation?
A: Depth of flow determines how much of the channel perimeter is wetted and affects the cross-sectional area available for water flow.

Q3: Can this formula be used for non-rectangular channels?
A: No, this specific formula applies only to rectangular channel sections. Other shapes have different geometric relationships.

Q4: What are typical units for these measurements?
A: Meters are the standard SI units, though other length units can be used as long as consistency is maintained.

Q5: How accurate is this calculation?
A: The calculation is mathematically exact for ideal rectangular channels. Actual field conditions may require adjustments for roughness and other factors.