1. What is Proportionate Discharge?

Proportionate Discharge is the ratio of discharge while running partially full to running full in circular conduits. It helps in determining the flow capacity when the pipe is not completely filled.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( Pq \) — Proportionate Discharge
• \( \theta \) — Central Angle in radians
• \( \pi \) — Mathematical constant pi (≈3.14159)
• \( \sin \) — Trigonometric sine function

Explanation: The formula calculates the discharge ratio based on the central angle of the flow in circular conduits, considering the geometric properties of partial flow conditions.

3. Importance of Proportionate Discharge Calculation

Details: Accurate calculation of proportionate discharge is essential for hydraulic engineering, sewer design, and irrigation systems where pipes often operate under partially full conditions.

4. Using the Calculator

Tips: Enter the central angle in radians. The value must be positive and typically ranges between 0 and 2π radians for practical applications.

5. Frequently Asked Questions (FAQ)

Q1: What is the range of central angle values?
A: The central angle typically ranges from 0 to 2π radians (0° to 360°), where 2π represents a full pipe.

Q2: How is central angle related to flow depth?
A: The central angle is directly related to the flow depth in circular conduits through geometric relationships.

Q3: What are typical values of proportionate discharge?
A: Proportionate discharge ranges from 0 (no flow) to 1 (full pipe flow), with various intermediate values depending on the central angle.

Q4: Are there limitations to this formula?
A: This formula assumes uniform flow conditions and may need adjustments for non-uniform flow or rough pipe surfaces.

Q5: Can this be used for non-circular conduits?
A: No, this formula is specifically designed for circular cross-sections. Different formulas apply to other shapes.