Laminar Flow Equation:
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The Darcy friction factor (f) is a dimensionless quantity used in the Darcy-Weisbach equation to calculate pressure loss due to friction in pipes. For laminar flow (Re < 2300), it can be calculated directly from the Reynolds number.
The calculator uses the laminar flow equation:
Where:
Explanation: This equation applies only to laminar flow conditions (Re < 2300). For turbulent flow, more complex equations or the Moody chart are needed.
Details: The friction factor is essential for calculating pressure drops in piping systems, which affects pump sizing and system design in chemical, civil, and mechanical engineering applications.
Tips: Enter the Reynolds number (must be > 0). The calculator is valid only for laminar flow conditions (Re < 2300).
Q1: What is laminar flow?
A: Laminar flow occurs at low Reynolds numbers (Re < 2300) where fluid flows in parallel layers with no disruption between them.
Q2: How is Reynolds number calculated?
A: \( Re = \frac{\rho v D}{\mu} \), where ρ is density, v is velocity, D is diameter, and μ is dynamic viscosity.
Q3: What about turbulent flow?
A: For turbulent flow (Re > 4000), the Colebrook equation or Moody chart should be used to find the friction factor.
Q4: What are typical friction factor values?
A: For laminar flow, f ranges from ~0.01 to 0.1. For turbulent flow in smooth pipes, f is typically 0.02-0.04.
Q5: What are the limitations of this equation?
A: Only valid for laminar flow in circular pipes. Doesn't account for pipe roughness or transitional flow regimes.