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Plane surface suddenly set in motion in a non-Newtonian fluid. (English) Zbl 0846.76006

Summary: The flow field of a fluid being called “the third order fluid” or the “fluid of grade three” is considered in the vicinity of a plane wall, suddenly set in motion. The velocity field of the flow is described by a fourth order nonlinear 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.

MSC:

76A05 Non-Newtonian fluids
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