Parallel Pipe Flow Calculator
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Parallel Pipe Flow Calculation Overview
In fluid mechanics, parallel pipe systems are common where multiple pipes are connected to distribute the total flow rate. The flow divides proportionally based on the resistance of each pipe, governed by the principle that flow rate is inversely proportional to resistance.
Calculation Formula
Given the total flow rate \( Q \) and the resistance of each pipe \( R_1 \) and \( R_2 \), the flow rates in the individual pipes are:
\[ Q_1 = \frac{\frac{1}{R_1}}{\frac{1}{R_1} + \frac{1}{R_2}} \times Q \]
\[ Q_2 = \frac{\frac{1}{R_2}}{\frac{1}{R_1} + \frac{1}{R_2}} \times Q \]
Where:
- \( Q \) is the total flow rate.
- \( R_1 \) and \( R_2 \) are the resistances of the respective pipes.
Example Calculation
For a system with a total flow rate of 2 m³/s, a resistance of 50 Pa·s/m³ in Pipe 1, and 100 Pa·s/m³ in Pipe 2:
\[ Q_1 = \frac{\frac{1}{50}}{\frac{1}{50} + \frac{1}{100}} \times 2 = 1.33 \text{ m³/s} \]
\[ Q_2 = \frac{\frac{1}{100}}{\frac{1}{50} + \frac{1}{100}} \times 2 = 0.67 \text{ m³/s} \]
This calculator helps quickly determine the flow distribution in parallel pipe systems, aiding in effective design and analysis of fluid networks.