Wetted Area For Circle Calculator

Wetted Surface Area Formula:

\[ A_{w(cir)} = \frac{1}{8} \times \left( \frac{180}{\pi} \times \theta - \sin(\theta) \times d_{section}^2 \right) \]

Wetted Surface Area:

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1. What is Wetted Surface Area of Circular Channel?

The wetted surface area of a circular channel refers to the total area of the channel's inner surface that is in contact with the flowing fluid. This measurement is crucial in hydraulic engineering for calculating friction losses, heat transfer, and other fluid dynamics parameters.

2. How Does the Calculator Work?

The calculator uses the wetted surface area formula:

\[ A_{w(cir)} = \frac{1}{8} \times \left( \frac{180}{\pi} \times \theta - \sin(\theta) \times d_{section}^2 \right) \]

Where:

\( A_{w(cir)} \) — Wetted surface area (m²)
\( \theta \) — Subtended angle in radians
\( d_{section} \) — Diameter of the circular section (meters)
\( \pi \) — Mathematical constant pi (approximately 3.14159)
\( \sin(\theta) \) — Sine trigonometric function of the angle θ

Explanation: The formula calculates the area of the circular segment that is wetted by the fluid based on the subtended angle and the diameter of the channel.

3. Importance of Wetted Surface Area Calculation

Details: Accurate calculation of wetted surface area is essential for determining hydraulic radius, calculating flow resistance, designing efficient fluid transport systems, and estimating heat transfer in thermal applications.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What is a subtended angle in this context?
A: The subtended angle refers to the central angle that corresponds to the portion of the circular channel that is wetted by the fluid.

Q2: How do I convert degrees to radians?
A: Multiply the angle in degrees by π/180 (approximately 0.0174533) to convert to radians.

Q3: What are typical applications of this calculation?
A: This calculation is used in designing sewer systems, irrigation channels, water supply networks, and various hydraulic engineering projects.

Q4: Does the formula work for partially filled circular channels?
A: Yes, the formula is specifically designed to calculate wetted surface area for partially filled circular channels.

Q5: How accurate is this calculation?
A: The calculation is mathematically precise for ideal circular channels with uniform cross-sections.