Order parameter modeling of fluid dynamics in narrow confinements subjected to hydrophobic interactions

A novel phase-field approach is developed for quantitative modeling of the complex thermophysics over reduced length scales in narrow fluidic confinements, as induced by the surface roughness-hydrophobicity coupling and the consequent hydrodynamic interactions. The method is tested for flows on micro- and nano- corrugated surfaces in narrow confinements, and the agreement with molecular dynamics and lattice Boltzmann simulations is found to be quantitative.