This study presents an analytical attempt to explore the two-dimensional concentration distribution in an oscillatory Couette flow. Mei's homogenization technique is used to find the concentration distribution up to third-order approximation. Analytical expressions of mean and transverse concentration distributions up to third order are derived in this study, which may be regarded as the novelty of this work. Most of the necessary transverse distribution functions are also found analytically. It is well known that the Taylor dispersion model predicts the longitudinal distribution of mean concentration only and the previous research works have mainly focused on this. Nevertheless, the transverse concentration distribution is important from environmental and industrial application points of view. Concentration variation rate over the cross-section is found to be higher for thicker Stokes boundary layers. It is also found that the dispersion of solute in the flowing fluid increases with the increase in Stokes boundary layer thickness. The present study propounds that a time scale 10  h 2 / D (where h is the channel depth and D is the molecular diffusivity) would be more appropriate to characterize the initial transition stage of the transport process to approach transverse uniformity.

No abstract

No abstract

No abstract