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Proportionate Discharge Given Area of Cross-Section Calculator

Formula Used:

\[ Pq = \frac{Vs \times a}{V \times A} \]

m/s
m/s

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1. What is Proportionate Discharge?

Proportionate Discharge is the ratio of discharge while running partially full to running full. It helps in determining the flow efficiency of sewer systems under varying fill conditions.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ Pq = \frac{Vs \times a}{V \times A} \]

Where:

Explanation: This formula calculates the ratio of flow rates between partially filled and fully filled sewer conditions, accounting for velocity and cross-sectional area differences.

3. Importance of Proportionate Discharge Calculation

Details: Calculating proportionate discharge is essential for designing efficient sewer systems, optimizing flow capacity, and ensuring proper hydraulic performance under varying operating conditions.

4. Using the Calculator

Tips: Enter all values in appropriate units (m/s for velocities, m² for areas). All values must be positive numbers greater than zero for accurate calculations.

5. Frequently Asked Questions (FAQ)

Q1: What does a Pq value of 1 indicate?
A: A Pq value of 1 indicates that the discharge in partially full condition is equal to the discharge when running full.

Q2: Can Pq be greater than 1?
A: Yes, Pq can be greater than 1 if the velocity and area combination in partially full condition results in higher discharge than full condition.

Q3: What factors affect velocity in partially running sewers?
A: Velocity is influenced by water depth, pipe slope, roughness coefficient, and hydraulic radius.

Q4: How does area change with water depth in circular sewers?
A: In circular pipes, the cross-sectional area increases non-linearly with water depth, reaching maximum at full flow.

Q5: When is this calculation most useful?
A: This calculation is particularly useful for sewer system design, capacity analysis, and flow optimization studies.

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