Oscillating viscous flow over a sphere
This paper deals with the problem of oscillating viscous flow over a sphere. The flow is assumed axisymmetric and governed by the Navier-Stokes equations for incompressible fluids. The method of solution is based on the series truncation method, where the stream function and vorticity are expressed in terms of a finite series of Legendre and first associated Legendre functions. The effects of the Reynolds and Strouhal numbers on the flow characteristics are studied and compared with available data from previous work and also from potential flow solutions. Results are presented for periodic variation of the drag coefficient, surface vorticity and pressure distributions for Reynolds numbers ranging from 5 to 200.
scientific article; zbMATH DE number 1143699