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Unsteady Stokes' flow in two dimensions

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Abstract

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.

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Smith, S.H. Unsteady Stokes' flow in two dimensions. J Eng Math 21, 271–285 (1987). https://doi.org/10.1007/BF00132679

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  • DOI: https://doi.org/10.1007/BF00132679

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