Comment on "The velocity field due to an oscillating plate in an Oldroyd-B fluid" by C.C. Hopkins and J.R. de Bruyn [Can. J. Phys. 92, 533 (2014)]

TL;DR

This paper corrects errors in a recent pedagogical article on Oldroyd-B fluids and provides additional early-time asymptotic analysis to complement existing late-time results.

Contribution

It offers corrections to prior work and extends the analysis with early-time asymptotics for the transient Stokes' second problem in Oldroyd-B fluids.

Findings

Corrected errors in the previous article.

Provided early-time asymptotic solutions.

Complemented existing late-time analysis.

Abstract

We correct certain errors and ambiguities in the recent pedagogical article by Hopkins and de Bruyn. The early-time asymptotics of the solution to the transient version of Stokes' second problem for an Oldroyd-B fluid in a half-space is presented, as an Appendix, to complement the late-time asymptotics given by Hopkins and de Bruyn.