Unsteady flow of viscoelastic fluid with fractional Maxwell model in a channel
β Scribed by Haitao Qi; Mingyu Xu
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 118 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0093-6413
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β¦ Synopsis
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 pressure gradient are discussed. Some results given by the classical models with integer-order are included in this note.
π SIMILAR VOLUMES
Unidirectional start-up flow of a viscoelastic fluid in a pipe with a fractional Maxwell's model is studied. The flow starting from rest is driven by a constant pressure gradient in an infinite long straight pipe. By employing the method of variable separations and Heaviside operational calculus, we
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