Flow Rate Formula:
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Definition: This calculator determines volumetric flow rate through an orifice or pipe using Bernoulli's equation based on pressure difference.
Purpose: It helps engineers and technicians calculate fluid flow rates in piping systems, ventilation, and hydraulic applications.
The calculator uses Bernoulli's simplified equation:
Where:
Explanation: The flow rate is proportional to the square root of the pressure difference and inversely proportional to the square root of fluid density.
Details: Accurate flow rate calculations are essential for designing piping systems, HVAC systems, and process control in industrial applications.
Tips: Enter the cross-sectional area (πr² for circular pipes), pressure difference, and fluid density (default 1000 kg/m³ for water). All values must be > 0.
Q1: What assumptions does this calculation make?
A: It assumes incompressible, inviscid flow with no friction losses and a single flow path (Bernoulli's equation assumptions).
Q2: How do I calculate area for a circular pipe?
A: Use \( A = \pi r^2 \) where r is the pipe radius. For diameter D, use \( A = \pi (D/2)^2 \).
Q3: What's a typical water density value?
A: Pure water at 4°C is 1000 kg/m³. For other temperatures or fluids, consult density tables.
Q4: Can I use this for gases?
A: Only for low-pressure differences where gas compressibility is negligible. For significant pressure changes, use compressible flow equations.
Q5: How accurate is this calculation?
A: It provides theoretical maximum flow. Real systems will have lower flow due to friction, viscosity, and other losses.