Starting solutions for a viscoelastic fluid with fractional Burgers’ model in an annular pipe

Starting solutions for a viscoelastic fluid with fractional Burgers’ model in an annular pipe

In this work, we have discussed some simple flows of a viscoelastic fluid with fractional Burgers’ model in an annular pipe. The fractional calculus approach is introduced in the constitutive relationship of a Burgers’ fluid model. Exact analytical solutions are obtained by using Laplace and Weber t...

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Veröffentlicht in:Nonlinear analysis: real world applications 2010-02, Vol.11 (1), p.547-554
Hauptverfasser: Hyder Ali Muttaqi Shah, S., Qi, Haitao
Format: Artikel
Sprache:eng
Schlagworte:
Annular
Annular pipe
Burgers’ fluid
Calculus
Computational fluid dynamics
Couette flow
Exact solutions
Fractional calculus
Laminar flow
Mathematical analysis
Mathematical models
Pipe
Viscoelastic fluids
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Zusammenfassung:In this work, we have discussed some simple flows of a viscoelastic fluid with fractional Burgers’ model in an annular pipe. The fractional calculus approach is introduced in the constitutive relationship of a Burgers’ fluid model. Exact analytical solutions are obtained by using Laplace and Weber transforms for two types of flows, namely: Poiseuille flow and Axial Couette flow.
ISSN:1468-1218
1878-5719
DOI:10.1016/j.nonrwa.2009.01.012