Unsteady flow of a generalized Maxwell fluid with fractional derivative due to a constantly accelerating plate

The velocity field and the adequate shear stress corresponding to the unsteady flow of a generalized Maxwell fluid are determined using Fourier sine and Laplace transforms. They are presented as a sum of the Newtonian solutions and the corresponding non-Newtonian contributions. The similar solutions...

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Bibliographic Details
Published in:Computers & mathematics with applications (1987) 2009-02, Vol.57 (4), p.596-603
Main Authors: Fetecau, Corina, Athar, M., Fetecau, C.
Format: Article
Language:English
Subjects:
Constantly accelerating plate
Constraining
Derivatives
Fourier analysis
Generalized Maxwell fluid
Mathematical models
Maxwell fluids
Newtonian fluids
Shear stress
Unsteady flow
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Summary:The velocity field and the adequate shear stress corresponding to the unsteady flow of a generalized Maxwell fluid are determined using Fourier sine and Laplace transforms. They are presented as a sum of the Newtonian solutions and the corresponding non-Newtonian contributions. The similar solutions for Maxwell and Newtonian fluids, performing the same motion, are obtained as limiting cases of our general results. Graphical illustrations show that the velocity profiles corresponding to a generalized Maxwell fluid are going to that for an ordinary Maxwell fluid if α → 1 .
ISSN:0898-1221
1873-7668
DOI:10.1016/j.camwa.2008.09.052