Wetted Perimeter For Circle Calculator

Wetted Perimeter Formula:

\[ p = 0.5 \times \theta \times d \times \frac{180}{\pi} \]

Wetted Perimeter of Channel (p):

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1. What is Wetted Perimeter?

The Wetted Perimeter of a channel is defined as the surface of the channel bottom and sides in direct contact with the aqueous body. For circular channels, it represents the length of the arc that is in contact with the fluid.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ p = 0.5 \times \theta \times d \times \frac{180}{\pi} \]

Where:

\( p \) — Wetted Perimeter of Channel (meters)
\( \theta \) — Subtended Angle in Radians
\( d \) — Diameter of Section (meters)
\( \pi \) — Mathematical constant (approximately 3.14159)

Explanation: This formula calculates the wetted perimeter for a circular channel section based on the subtended angle and diameter of the section.

3. Importance of Wetted Perimeter Calculation

Details: Accurate wetted perimeter calculation is crucial for hydraulic engineering, flow rate calculations, and designing efficient water conveyance systems. It helps in determining the hydraulic radius and other important hydraulic parameters.

4. Using the Calculator

Tips: Enter the subtended angle in radians and the diameter in meters. Both values must be positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is the subtended angle in radians?
A: The subtended angle is the angle at the center of the circle that corresponds to the arc length that is in contact with the fluid.

Q2: How is wetted perimeter different from perimeter?
A: Wetted perimeter only includes the surfaces in contact with the fluid, while total perimeter includes the entire boundary of the channel cross-section.

Q3: What are typical values for wetted perimeter in circular channels?
A: Values vary depending on the diameter and water level, ranging from small fractions of the circumference to the full circumference when the channel is full.

Q4: Why is wetted perimeter important in hydraulic calculations?
A: It's used to calculate hydraulic radius (cross-sectional area divided by wetted perimeter), which is crucial for determining flow resistance and velocity in open channel flow.

Q5: Can this formula be used for partially filled circular pipes?
A: Yes, this formula is specifically designed for calculating wetted perimeter in partially filled circular channels or pipes.