Wetted Perimeter of Triangular Channel Section Calculator

Wetted Perimeter of Channel Formula:

\[ p = 2 \times df \times (\theta + \cot(\theta)) \]

Wetted Perimeter of Channel (p):

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1. What is the Wetted Perimeter of Channel?

The Wetted Perimeter of Channel is defined as the surface of the channel bottom and sides in direct contact with the aqueous body. It is an important parameter in hydraulic engineering for calculating flow characteristics in open channels.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ p = 2 \times df \times (\theta + \cot(\theta)) \]

Where:

\( p \) — Wetted Perimeter of Channel (m)
\( df \) — Depth of Flow (m)
\( \theta \) — Theta, an angle in radians
\( \cot \) — Cotangent trigonometric function

Explanation: The formula calculates the wetted perimeter for a triangular channel section based on the depth of flow and the channel angle.

3. Importance of Wetted Perimeter Calculation

Details: Accurate wetted perimeter calculation is crucial for determining hydraulic radius, flow resistance, and discharge capacity in open channel flow analysis and design.

4. Using the Calculator

Tips: Enter depth of flow in meters, theta angle in radians. All values must be valid positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the physical significance of wetted perimeter?
A: Wetted perimeter represents the length of the channel boundary that is in contact with the flowing fluid, which affects friction losses and flow efficiency.

Q2: How does channel shape affect wetted perimeter?
A: Different channel shapes (triangular, rectangular, trapezoidal) have different wetted perimeter formulas based on their geometry.

Q3: What is the relationship between wetted perimeter and hydraulic radius?
A: Hydraulic radius is calculated as the cross-sectional area divided by the wetted perimeter, representing the efficiency of the channel section.

Q4: Why is theta measured in radians?
A: Trigonometric functions in mathematical calculations typically use radians as they provide more accurate results in engineering computations.

Q5: Can this formula be used for other channel shapes?
A: No, this specific formula is designed for triangular channel sections. Other shapes require different formulas for wetted perimeter calculation.