Generalized fundamental solutions for unsteady viscous flows - art. no. 051201

A number of closed-form fundamental solutions for generalized unsteady Osee n and Stokes flows associated with arbitrary time-dependent translational a nd rotational motions have been developed. These solutions are decomposed i nto 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 lo w Reynolds numbers are calculated using the generalized fundamental solutio ns.