Area of Cross-section while Running Full given Proportionate Discharge Calculator

Formula Used:

\[ A = \frac{a \times V_s}{V \times P_q} \]

Area of Partially Full Sewers (a):

m²

Velocity in a Partially Running Sewer (Vs):

m/s

Velocity While Running Full (V):

m/s

Proportionate Discharge (Pq):

Area of Running Full Sewers (A):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is the Area of Cross-section while Running Full?

The Area of Running Full Sewers refers to the total cross-sectional area of the pipe when it is completely filled with fluid. This parameter is essential for hydraulic calculations and sewer system design.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ A = \frac{a \times V_s}{V \times P_q} \]

Where:

\( A \) — Area of Running Full Sewers (m²)
\( a \) — Area of Partially Full Sewers (m²)
\( V_s \) — Velocity in a Partially Running Sewer (m/s)
\( V \) — Velocity While Running Full (m/s)
\( P_q \) — Proportionate Discharge (-)

Explanation: This formula calculates the full cross-sectional area based on the relationship between partial and full flow conditions, incorporating velocity and discharge proportions.

3. Importance of Area Calculation

Details: Accurate calculation of the full cross-sectional area is crucial for proper sewer system design, capacity planning, and hydraulic efficiency analysis in wastewater management.

4. Using the Calculator

Tips: Enter all values in appropriate units (area in m², velocity in m/s). Ensure all values are positive and non-zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is Proportionate Discharge?
A: Proportionate Discharge is the ratio of discharge while running partially full to running full, representing the flow capacity at partial fill conditions.

Q2: Why is velocity different in partial vs full flow?
A: Velocity varies due to changes in hydraulic radius and flow resistance when the pipe is not completely filled, affecting the flow characteristics.

Q3: What are typical values for sewer velocities?
A: Typical velocities range from 0.6-3 m/s to prevent sediment deposition and avoid pipe erosion, with optimal around 1-2 m/s.

Q4: How does pipe material affect these calculations?
A: Pipe material affects roughness coefficient, which influences velocity calculations through Manning's equation or other flow formulas.

Q5: When is this calculation most useful?
A: This calculation is particularly useful for sewer system analysis, capacity verification, and during design phases of wastewater infrastructure projects.