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The hydrodynamic regime of the Stribeck curve giving the friction coefficient$\mu$ as a function of the dimensionless relative sliding speed (the Sommerfeldnumber, $S$) of two contacting non-conformal surfaces is usually consideredtrivial, with $\mu \sim S$. We predict that for conformal surfaces contactingover large areas, a combination of independent length scales gives rise to auniversal power-law with a non-trivial exponent, $\mu\sim S^{2/3}$, for a thicklubrication film. Deviations as the film thins (decreasing $S$) maysuperficially resemble the onset of elastohydrodynamic lubrication, but are dueto a crossover between hydrodynamic regimes. Our experiments as well as recentmeasurements of chocolate lubrication confirm these predictions.

Anomalous Scaling for Hydrodynamic Lubrication of Conformal Surfaces