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

โœ Scribed by Corina Fetecau; M. Athar; C. Fetecau

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
664 KB
Volume
57
Category
Article
ISSN
0898-1221

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โœฆ Synopsis

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 ฮฑ โ†’ 1.

๐Ÿ“œ SIMILAR VOLUMES

Unsteady flow of viscoelastic fluid with
Unsteady flow of viscoelastic fluid with fractional Maxwell model in a channel
โœ Haitao Qi; Mingyu Xu ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 118 KB

The unsteady flow of viscoelastic fluid with the fractional derivative Maxwell model (FDMM) in a channel is studied in this note. The exact solutions are obtained for an arbitrary pressure gradient by means of the finite Fourier cosine transform and the Laplace transform. Two special cases of pressu