Comments on: "Energetic balance for the Rayleigh--Stokes problem of an Oldroyd-B fluid" [Nonlinear Anal. RWA 12 (2011) 1]

TL;DR

This paper critically examines a recent study on the Rayleigh--Stokes problem for Oldroyd-B fluids, identifying errors, correcting inaccuracies, and clarifying misconceptions related to the derivation and application of Fourier sine transforms.

Contribution

It provides a detailed critique of a prior work, correcting derivations and highlighting common mistakes in applying Fourier sine transforms in fluid dynamics problems.

Findings

Corrected derivation of the solution

Identification of common errors in Fourier sine transform applications

Clarification of misconceptions in recent literature

Abstract

We point out that an erroneous derivation in the recent paper [Fetecau et al., Nonlinear Anal. RWA 12 (2011) 1] yields a correct solution by accident. Additionally, a number of misrepresentations and inaccuracies in the latter recent paper are identified, corrected and/or clarified in this Comment. Finally, a listing of recent papers in this journal that make a mistake applying the Fourier sine transform, and thus present erroneous solutions, is given as an Appendix.