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
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Sommerfeld S
—
hmin [μm]
—
Λ = hmin/σ
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Lube Regime
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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.