Generalized fundamental solutions for unsteady viscous flows.

@article{Shu2001GeneralizedFS,
  title={Generalized fundamental solutions for unsteady viscous flows.},
  author={Jian-Jun Shu and Allen T. Chwang},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2001},
  volume={63 5 Pt 1},
  pages={
          051201
        }
}
  • J. Shu, A. Chwang
  • Published 6 April 2001
  • Engineering, Physics
  • Physical review. E, Statistical, nonlinear, and soft matter physics
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… 
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