The rimming flow of a power-law fluid in the inner surface of a horizontal
rotating cylinder is investigated. Exploiting the fact that the liquid laye
r is thin, the simplest lubrication theory is applied. The generalized run-
off condition for the steady-state flow of the power-law liquid is derived.
In the bounds implied by this condition, film thickness admits a continuou
s solution. In the supercritical case when the mass of non-Newtonian liquid
exceeds a certain value or the speed of rotation is less than an indicated
limit, a discontinuous solution is possible and a hydraulic jump may occur
in the steady-state regime. The location and height of the hydraulic jump
for the power-law liquid is determined.