Plane surface suddenly set in motion in a non-Newtonian fluid

SummaryThe flow field of a fluid being called “the third order fluid” or the “fluid of grade three” is considered for a non-Newtonian flow in the vicinity of a plane wall, suddenly set in motion. The velocity field of the flow is described by a fourth order, non-linear partial differential equation. The solution of this differential equation shows that for short time a strong non-Newtonian effect is present in the velocity field. However, for long time the velocity field becomes a Newtonian one.