Discharge When Pipe Running Partially Full Using Proportionate Discharge Calculator

Formula Used:

\[ q = Pq \times Q \]

Discharge when Pipe is Running Partially Full (q):

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1. What is Discharge When Pipe Running Partially Full?

Discharge when pipe is running partially full refers to the flow rate of water through a pipe that is not completely filled. This occurs in various hydraulic systems and is calculated using the proportionate discharge method.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ q = Pq \times Q \]

Where:

\( q \) — Discharge when pipe is running partially full (m³/s)
\( Pq \) — Proportionate discharge (dimensionless)
\( Q \) — Discharge when pipe is running full (m³/s)

Explanation: The formula calculates the actual flow rate in a partially filled pipe by multiplying the full pipe discharge by the proportionate discharge factor.

3. Importance of Partial Flow Discharge Calculation

Details: Accurate calculation of partial flow discharge is essential for designing efficient drainage systems, sewer networks, and irrigation channels where pipes often operate at less than full capacity.

4. Using the Calculator

Tips: Enter the proportionate discharge value and the full pipe discharge in m³/s. Both values must be positive numbers greater than zero.

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, typically determined from hydraulic tables or curves.

Q2: When do pipes run partially full?
A: Pipes run partially full in gravity flow systems like sewers and drains where the flow rate is less than the pipe's full capacity.

Q3: How is proportionate discharge determined?
A: Proportionate discharge is usually determined from established hydraulic tables that relate depth of flow to discharge ratio for different pipe geometries.

Q4: Are there limitations to this calculation?
A: This method assumes steady, uniform flow and may not account for complex flow conditions, pipe roughness variations, or extreme flow conditions.

Q5: Can this formula be used for all pipe shapes?
A: While the basic principle applies, specific proportionate discharge values vary depending on pipe shape (circular, rectangular, etc.) and must be obtained from appropriate hydraulic tables.