Three perturbation approaches that apply for regular hydrodynamic lubr
ication problems are discussed: a cross-film coordinate perturbation,
an iterative scheme, and a regular perturbation in terms of the film a
spect ratio. The methods are used to derive higher order terms for a d
riven corner flow with a Newtonian lubricant of constant properties. R
easons for preferring the regular perturbation scheme are presented an
d this method is used to obtain the correct curvature correction in an
infinitely long journal bearing. Criteria for identifying singular ge
ometries in hydrodynamic lubrication are set fourth.