Non-viscometric flows of viscoelastic fluids in round tubes driven by transversal boundary waves

Dennis A. Siginer, Yunling Li

Research output: Contribution to journalArticle

Abstract

The unsteady transversal flow field in the tube flow of a memory integral fluid of order type driven by rotational boundary waves is investigated. A perturbation in terms of the amplitude of the sinusoidal boundary waves is used. Qualitative conclusions are independent of the explicit forms of the constitutive functions. Quantitative results are obtained by assuming Maxwell type of behavior for the latter. It is shown that transversal steady flows is a possibility if several rotational waves with frequencies in a certain ratio are imposed on the boundary. As a result helical steady flows may be possible in the longitudinal direction in a round tube. A parametrical study of the oscillating transversal field is presented for highly elastic and shear thinning liquids.

Original languageEnglish
Pages (from-to)19-27
Number of pages9
JournalAmerican Society of Mechanical Engineers, Aerospace Division (Publication) AD
Volume53-2
Publication statusPublished - 1997

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viscoelastic fluid
Flow of fluids
steady flow
Steady flow
tubes
fluids
shear thinning
Shear thinning
unsteady flow
Pipe flow
flow field
thinning
Flow fields
flow distribution
perturbation
Data storage equipment
liquid
Fluids
fluid
Liquids

All Science Journal Classification (ASJC) codes

  • Space and Planetary Science
  • Mechanical Engineering

Cite this

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abstract = "The unsteady transversal flow field in the tube flow of a memory integral fluid of order type driven by rotational boundary waves is investigated. A perturbation in terms of the amplitude of the sinusoidal boundary waves is used. Qualitative conclusions are independent of the explicit forms of the constitutive functions. Quantitative results are obtained by assuming Maxwell type of behavior for the latter. It is shown that transversal steady flows is a possibility if several rotational waves with frequencies in a certain ratio are imposed on the boundary. As a result helical steady flows may be possible in the longitudinal direction in a round tube. A parametrical study of the oscillating transversal field is presented for highly elastic and shear thinning liquids.",
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AB - The unsteady transversal flow field in the tube flow of a memory integral fluid of order type driven by rotational boundary waves is investigated. A perturbation in terms of the amplitude of the sinusoidal boundary waves is used. Qualitative conclusions are independent of the explicit forms of the constitutive functions. Quantitative results are obtained by assuming Maxwell type of behavior for the latter. It is shown that transversal steady flows is a possibility if several rotational waves with frequencies in a certain ratio are imposed on the boundary. As a result helical steady flows may be possible in the longitudinal direction in a round tube. A parametrical study of the oscillating transversal field is presented for highly elastic and shear thinning liquids.

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