Time-averaged transport in oscillatory squeeze flow of a viscoelastic fluid

An investigation of the Taylor--Aris dispersion in an oscillatory axisymmetric squeeze flow, driven periodically by the motion of one of the confining, parallel planes is presented. Using the method of multiple timescale homogenization, the mass-heat balance equation in this flow is reduced to a one-dimensional equation, indicating three effective mechanisms: diffusion, advection, and reaction. The results show that the transport in the oscillatory squeeze flow can be either enhanced or diminished, depending on the interplay of these three effective (homogenized) mechanisms.