Physics – Fluid Dynamics
Scientific paper
2000-05-24
Physics
Fluid Dynamics
14 pages, 5 figures, to appear in PRE
Scientific paper
10.1103/PhysRevE.62.2480
The hydrodynamic phase field model is applied to the problem of film spreading on a solid surface. The disjoining potential, responsible for modification of the fluid properties near a three-phase contact line, is computed from the solvability conditions of the density field equation with appropriate boundary conditions imposed on the solid support. The equation describing the motion of a spreading film are derived in the lubrication approximation. In the case of quasi-equilibrium spreading, is shown that the correct sharp-interface limit is obtained, and sample solutions are obtained by numerical integration. It is further shown that evaporation or condensation may strongly affect the dynamics near the contact line, and accounting for kinetic retardation of the interphase transport is necessary to build up a consistent theory.
Pismen Len M.
Pomeau Yves
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