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A note on an unsteady flow of a viscous fluid due to an oscillating plane wall. (English) Zbl 1006.76028
Summary: We consider the flow of a viscous fluid produced by a plane boundary moving in its own plane with a sinusoidal variation of velocity. An analytical solution describing the flow at small and large times after the start of the boundary is obtained by Laplace transform method. The solution descirbes not only steady motion, but also the transient regime. The time required to attain steady flow motion for the cosine oscillation of the boundary is one-half cycle, and this time is a full cycle for the sine oscillation of the boundary.
MSC:
76D99Incompressible viscous fluids
76M25Other numerical methods (fluid mechanics)