Following recent experiments on thin films of simple molecular liquids
confined between two solid plates, a simple model of the effective vi
scosity is proposed based on the assumption of wall-induced solid-like
order in the liquid film. The ordering produces a dramatic increase o
f the viscosity as film thickness approaches molecular dimensions. She
ar-induced melting of these solid-like boundary layers gives rise to n
on-Newtonian shear-rate dependence of the viscosity. The results are c
ompared with the observations of Granick and co-workers, and further e
xperiments are proposed.