Axisymmetric Slow Viscous Flow Due to the Motion of Two Equal Coaxial Disks

Abstract

Axisymmetric slow viscous flow due to the on-axis translation of two equal coaxial disks is investigated on the basis of the Stokes approximation. A formal expression for the flow field is obtained by sloving a mixed boundary value problem. The drag on the disk is expressed in power series of the ratio of the radius to the distance between the disks. Analysis and improvement of series for the drag are carried out. The asymptotic behavior of the drag is estimated, when two disks are nearly piled up.