, Volume 81, Issue 8, pp 1153-1163
Date: 02 Apr 2011

RETRACTED ARTICLE: Flow of fractional Maxwell fluid between coaxial cylinders

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Abstract

This paper deals with the study of unsteady flow of a Maxwell fluid with fractional derivative model, between two infinite coaxial circular cylinders, using Laplace and finite Hankel transforms. The motion of the fluid is produced by the inner cylinder that, at time t = 0+, is subject to a time-dependent longitudinal shear stress. Velocity field and the adequate shear stress are presented under series form in terms of the generalized G and R functions. The solutions that have been obtained satisfy all imposed initial and boundary conditions. The corresponding solutions for ordinary Maxwell and Newtonian fluids are obtained as limiting cases of general solutions. Finally, the influence of the pertinent parameters on the fluid motion as well as a comparison between the three models is underlined by graphical illustrations.

This paper has been retracted. Too many duplicate passages have appeared in multiple articles. Professor Fetecau, the only contributor who cooperated with our investigations into this possible case of plagiarism is not involved in practices unworthy of scientists who uphold high academic standards. Many of the publications have been published with him as one of the contributors without his prior knowledge or consent.
An erratum to this article can be found at http://dx.doi.org/10.1007/s00419-012-0635-3.