RT Journal Article ID 0ef9fff87a6f3cad A1 Tsangaris, Sokrates A1 Kondaxakis, D. A1 Vlachakis, N. W. T1 Exact Solution for the Oscillating Creeping Flow between Concentric Spheres JF International Journal of Fluid Mechanics Research JO FMR YR 2011 FD 2011-05-04 VO 38 IS 1 SP 1 OP 12 AB The Navier-Stokes equations are solved to obtain an analytical solution of the developed unsteady oscillating flow within the gap formed between two concentric spheres. This flow field spatially evolves between the north and the south poles of the geometrical configuration. The present paper contributes to the mathematical as well as to the mechanical characterization of the flow in spherical gaps and provides exact solutions for unsteady cases when convection effects are neglected. The results are mainly illustrated by representing the velocity as a function of two non-dimensional parameters: the gap spacing parameter and the reduced frequency parameter (Womersley number). PB Begell House LK https://www.dl.begellhouse.com/journals/71cb29ca5b40f8f8,2280868841da8ca6,0ef9fff87a6f3cad.html