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Lubrication · Stribeck Curve

Lubrication Regime Calculator — Stribeck Curve

Real-time Sommerfeld number, minimum film thickness and film thickness ratio Λ for journal bearings — with Stribeck curve and regime identification.

Bearing Parameters
Shaft Diameter D 50.0 mm
Bearing Length L 50.0 mm
Radial Clearance c 50 μm
Load W 5000 N
Rotational Speed N 1500 rpm
Dynamic Viscosity η 0.030 Pa·s
VG32≈0.03 · VG68≈0.06 · VG100≈0.09 Pa·s
Composite Roughness σ 0.50 μm
Ground: 0.2–0.5 · Turned: 0.5–2.0 μm
Sommerfeld S
hmin [μm]
Λ = hmin
Lube Regime
Friction μ
Stribeck Curve (μ vs ηN/P)
Film Thickness Ratio Λ vs Load W

Theory

Sommerfeld number (dimensionless bearing number):

$$S=\frac{\eta N}{P}\left(\frac{D}{2c}\right)^2, \quad P=\frac{W}{D\cdot L}$$

Minimum film thickness (approximation):

$$h_{min} \approx c\left(1 - \varepsilon\right), \quad \varepsilon \approx \frac{1}{\sqrt{1+4S^2\pi^2}}$$

Film thickness ratio: $\Lambda = h_{min}/\sigma_{comp}$,   $\sigma_{comp}=\sqrt{\sigma_1^2+\sigma_2^2}$

Stribeck parameter: $\eta N/P$   ($N$ in rev/s, $P$ in Pa)

CAE Integration: EHD (elastohydrodynamic) analysis in ANSYS Fluent or OpenFOAM couples fluid film with solid deformation for precise hmin predictions. The Stribeck curve is the starting point for tribological design of gearboxes, crankshaft bearings and turbine journal bearings.