Generalized fundamental solutions for unsteady viscous flows.


A number of closed-form fundamental solutions for generalized unsteady Oseen and Stokes flows associated with arbitrary time-dependent translational and rotational motions have been developed. These solutions are decomposed into two parts corresponding to a longitudinal wave and a transversal wave. As examples of application, the hydrodynamic forces acting on a sphere and on a circular cylinder translating in an unsteady rotating flow field at low Reynolds numbers are calculated using the generalized fundamental solutions.

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@article{Shu2001GeneralizedFS, title={Generalized fundamental solutions for unsteady viscous flows.}, author={Ji Shu and Allen T. Chwang}, journal={Physical review. E, Statistical, nonlinear, and soft matter physics}, year={2001}, volume={63 5 Pt 1}, pages={051201} }