Fluid Dynamics & Pipe Flow Calculator

Calculate Reynolds number, Darcy friction factor, pressure loss, and flow velocity for pipe systems using Darcy-Weisbach and Colebrook equations.

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Formula · assumptions · example(ISO 5167 · Hydraulic Institute (HIS) · Crane Technical Paper 410)

Formula

Q = A \cdot v, \quad \text{Re} = \frac{\rho v D}{\mu}, \quad \Delta p = f \frac{L}{D} \frac{\rho v^2}{2}

Continuity equation, Reynolds number regime classification, and Darcy-Weisbach dynamic pressure loss.

Assumptions

  • · Incompressible fluid flow with constant physical properties (density ρ, dynamic viscosity μ)
  • · Laminar regime Re < 2300 (f = 64/Re), turbulent regime Re > 4000 (Colebrook/Haaland)

Worked example

Worked example — Fluid Dynamics & Pipe Flow Calculator

Deterministic calculation verified against international engineering standards.