Unsteady simulation of viscous thin-layer flows
a chapter in the monograph
'Free-Surface Flows with Viscosity,'
P. Tyvand, Ed., pp. 203 - 233, Computational Mech. Publ.,
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