Physics – Fluid Dynamics
Scientific paper
2010-03-10
Acta Mechanica 215 (1-4), 2010, pp. 25-28
Physics
Fluid Dynamics
3 pages, 1 figure (2 images); v2 corrects a few typos. The final publication is available at http://www.springerlink.com
Scientific paper
10.1007/s00707-010-0300-2
In a 2001 article, Fetecau and Zierep [1] considered Stokes' first problem for a second grade (SG) fluid, unaware that it had already been solved (correctly) by Puri [2] in 1984. These authors used the Fourier sine transform to obtain, what they believed to be, the exact solution of the resulting initial-boundary-value problem (IBVP). Unfortunately, due to their incorrect computation of the distributional derivative of the Heaviside function, an omission of a critical term in the subsidiary equation occurred, an elementary mistake (gracefully explained in [3]) apparently not uncommon in the literature. Therefore, the solution given in [1] is, generally speaking, incorrect.
Christov Christo I.
Christov Ivan C.
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