⬇️ Sedimentation & Terminal Velocity Calculator
Compute terminal settling velocity for particles through Stokes, intermediate (Schiller-Naumann), and Newton drag regimes. Includes shape correction, Archimedes number, hindered settling, and CD vs Re diagram.
🔬 Particle Settling Schematic
📝 Configuration
Key Equations:
Stokes: Vt = (ρp−ρf)gd²/(18μ)
Schiller-Naumann: CD = 24/Re(1+0.15Re0.687)
Newton: CD = 0.44
Richardson-Zaki: Vh = Vt(1−c)n
Ar = ρf(ρp−ρf)gd³/μ²
Stokes: Vt = (ρp−ρf)gd²/(18μ)
Schiller-Naumann: CD = 24/Re(1+0.15Re0.687)
Newton: CD = 0.44
Richardson-Zaki: Vh = Vt(1−c)n
Ar = ρf(ρp−ρf)gd³/μ²
📊 Results
Configure inputs and click Compute to view results.
📘 Methodology
Drag Regimes
Three classical regimes: Stokes (Re < 0.1) with CD = 24/Re, intermediate (0.1 < Re < 1000) using Schiller-Naumann correlation, and Newton (Re > 1000) with CD ≈ 0.44. The engine iterates to convergence.
Hindered Settling
Richardson-Zaki correlation accounts for particle-particle interactions in concentrated suspensions: Vh = Vt(1−c)n, where n depends on Rep.
Assumptions
- Spherical particle (shape factor adjusts drag).
- Steady terminal velocity (no acceleration phase).
- Infinite fluid domain (no wall effects).
- Newtonian fluid.
- No particle rotation or lift.