Unsteady simulation of viscous thin-layer flows
Schwartz LW
a chapter in the monograph 'Free-Surface Flows with Viscosity,'
P. Tyvand, Ed., pp. 203 - 233, Computational Mech. Publ., Southampton, 1997
The calculation of two and three dimensional unsteady viscous flows in thin layers, with surface tension effect, is discussed. Surfactants, substrate energetics, moving contact lines, substrate curvature and shear-thinning rheology are additional effects that are considered. In each case the problem is simplified by use of the lubrication approximation. A variety of real-world applications are mentioned.