Since scraping applications are important for non-Newtonian fluid (for example, scraping paint, nail polish, cream, butter, honey, etc.,), it is essential to consider this case. The analysis was carried out by J. Riedler and Wilhelm Schneider in 1983 and they were able to obtain self-similar solutions for power-law fluids satisfying the relation for the apparent viscosity
where  and  are constants. The solution for the streamfunction of the flow created by the plate moving towards right is given by
where
and
where  is the root of . It can be verified that this solution reduces to that of Taylor's for Newtonian fluids, i.e., when .