Diameter of Pipe Given Wetted Perimeter Calculator

Formula Used:

\[ D_{pipe} = \frac{P_w \times (360 \times \pi / 180)}{\pi \times \theta} \]

Diameter of Pipe (Dpipe):

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1. What is the Diameter of Pipe Given Wetted Perimeter Formula?

The formula calculates the diameter of a pipe when the wetted perimeter for partial flow and the central angle are known. This is particularly useful in hydraulic engineering for determining pipe dimensions in partially filled flow conditions.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ D_{pipe} = \frac{P_w \times (360 \times \pi / 180)}{\pi \times \theta} \]

Where:

\( D_{pipe} \) — Diameter of Pipe (m)
\( P_w \) — Wetted Perimeter for Partial Flow (m)
\( \theta \) — Central Angle (radians)
\( \pi \) — Mathematical constant pi (approximately 3.14159)

Explanation: The formula converts the angular measurement from degrees to radians and uses the relationship between wetted perimeter, central angle, and pipe diameter to calculate the result.

3. Importance of Pipe Diameter Calculation

Details: Accurate pipe diameter calculation is essential for proper hydraulic design, flow capacity estimation, and ensuring efficient fluid transport in piping systems.

4. Using the Calculator

Tips: Enter wetted perimeter in meters and central angle in radians. Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is wetted perimeter in pipe flow?
A: Wetted perimeter refers to the length of the pipe's inner surface that is in contact with the flowing fluid when the pipe is not completely full.

Q2: Why is central angle measured in radians?
A: Radians are the standard unit for angular measurements in mathematical calculations involving circular geometry and trigonometric functions.

Q3: Can this formula be used for full pipe flow?
A: For full pipe flow, the wetted perimeter equals the pipe circumference, and the formula simplifies accordingly.

Q4: What are typical applications of this calculation?
A: This calculation is commonly used in sewer design, irrigation systems, and any application involving partially filled pipe flow.

Q5: How accurate is this calculation?
A: The calculation is mathematically exact based on the geometric relationships, assuming accurate input values and ideal circular pipe geometry.