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Phys. Rev. E 70, 056302 (2004) [4 pages]

Optimal behavior of viscoelastic flow at resonant frequencies

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A. A. Lambert*, G. Ibáñez, S. Cuevas, and J. A. del Río§
Centro de Investigación en Energía, Universidad Nacional Autónoma de México, A. P. 34, 62580 Temixco, Morelos, México

See Also: Erratum

Received 11 May 2004; published 5 November 2004

The global entropy generation rate in the zero-mean oscillatory flow of a Maxwell fluid in a pipe is analyzed with the aim of determining its behavior at resonant flow conditions. This quantity is calculated explicitly using the analytic expression for the velocity field and assuming isothermal conditions. The global entropy generation rate shows well-defined peaks at the resonant frequencies where the flow displays maximum velocities. It was found that resonant frequencies can be considered optimal in the sense that they maximize the power transmitted to the pulsating flow at the expense of maximum dissipation.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.70.056302
DOI:
10.1103/PhysRevE.70.056302
PACS:
47.50.+d, 05.70.−a, 83.60.Bc

*Electronic address: ala@cie.unam.mx

Electronic address: gid@cie.unam.mx

Electronic address: scg@cie.unam.mx

§Electronic address: antonio@servidor.unam.mx

See Also

Erratum: A. A. Lambert, G. Ibáñez, S. Cuevas, and J. A. del Río, Erratum: Optimal behavior of viscoelastic flow at resonant frequencies [Phys. Rev. E 70, 056302 (2004)], Phys. Rev. E 73, 049902 (2006).