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sci.elastohydrodynamic-film-thickness Calculator
Calculates elastohydrodynamic (EHD) lubricant film thickness in a Hertzian contact using the Hamrock-Dowson equation: H_min = 3.63U^0.68G^0.49W^(−0.073)(1−e^(−0.68k)). EHD film thickness 0.1–10 µm prevents metal-to-metal contact in rolling bearings and gears — λ ratio = h_min/σ_combined > 3 ensures full-film lubrication.
Inputs
U Speed M S
Rate of movement. 1 m/s = 3.6 km/h = 2.237 mph.
Eta0 Pa S
Fluid resistance to flow. Water at 20°C: ~1 cP. Honey: 2,000–10,000 cP. Higher viscosity increases pumping power requirements.
Alpha Gpa Inv
Fluid resistance to flow. Water at 20°C: ~1 cP. Honey: 2,000–10,000 cP. Higher viscosity increases pumping power requirements.
E Star Gpa
Reference formula or conversion factor shown for context.
R Star Mm
Distance from centre to edge of a circle. Radius = diameter / 2.
F N
Applied force or weight (N or kN). Divide into dead load (permanent) and live load (variable — people, wind, etc.).
Results
minimum EHL film thickness h_min (nm)
The smallest value in the dataset or feasible range.
speed parameter Ū
The computed rate of movement or processing.
materials parameter G = α·E*
The value at the specified point or condition.
load parameter W = F/(E*R*²)
Reference formula or conversion factor shown for context.