Note:

Formula Explanation: The volumetric flow rate (qₑ) is directly proportional to the square root of the pressure drop (Δp):

Parameters:

• qₑ (Volumetric Flow Rate): The amount of liquid passing through a system per unit time (m³/s).
• Δp (Pressure Drop): The difference in pressure across a pipe, valve, or nozzle, measured in Pascals (Pa).
• K (Proportionality Constant): A constant based on system properties like pipe diameter and fluid characteristics.

Real-Life Applications:

• Fire Safety: Used to design fire sprinkler and hydrant systems.
• Piping Systems: Determines flow rates in industrial pipelines.
• HVAC Systems: Ensures proper air and water flow in heating/cooling systems.
• Oil & Gas Industry: Helps in optimizing fluid transport efficiency.

Conclusion:

Understanding this formula is crucial for designing safe and efficient fluid transport systems in industries like fire safety, petroleum, and manufacturing.