Unsteady Stokes' flow in two dimensions
Some simple problems are considered which indicate how transient effects lead to the development of slow viscous flows. Explicit solutions are obtained for situations when a source, rotlet or stokeslet is impulsively introduced at a particular time, and the manner by which such flows, which are initially harmonic, are transformed into those satisfying the biharmonic equation is clearly displayed. Conclusions regarding the formation of separated regions are presented.
time-dependent linearized Navier-Stokes equations
scientific article; zbMATH DE number 4055224